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2024-07-31-accounts

London Mathematical Society

1 August 2023 – 31 July 2024

FOREWORD FROM THE PRESIDENT AND EXECUTIVE SECRETARY (CEO)

We are pleased to present the annual report for 2023-24 which highlights some of our activities from the past year to advance the mathematical sciences.

This year saw Council approve our new ambitious five-year strategy which, alongside our existing charitable objectives, focusses on three new strategic goals: LMS in the Global Community, Member Engagement and Mathematics Pathways. Our goals signify our intent to contribute significantly to the international mathematical community as well being a driving force that propels mathematics forward. The goals are all underpinned by the Society’s ambitions on environmental and financial sustainability and a commitment to equity, diversity, and inclusion in the way it delivers activities and communicates with members and external stakeholders.

It has been an exciting year for the mathematical sciences with the first ever Maths Summit held at the Science Museum in March 2024. The summit, organised by the Protect Pure Maths campaign (which the Society manages), brought together mathematicians and policy makers from government and stakeholders to discuss how maths can be used in government and industry policy making. The Council for the Mathematical Sciences (CMS) and the Academy for the Mathematical Sciences launched a maths manifesto at the Maths Summit in advance of the UK general election. The manifesto set out the key priorities for investment in maths research, innovation and education.

We are internationally trusted publisher of mathematical research, and our rigorous peer-review process provides a vital service to the mathematical community. During the year, we undertook a significant reorganisation of the shared Editorial Board of the Bulletin of the London Mathematical Society and the Journal of the London Mathematical Society and the processes that underpin the journals’ peer-review. As a result of this change, both journals now welcome

the submission of papers which are more specialised, alongside the general interest papers for which the journals are well known. We also made a significant update to our Ethical Policy for Journals, ensuring that the Society’s publications maintain the highest standards of research integrity and publication ethics. We are grateful to our community of authors, reviewers, editors and, of course, readers, for their support of the Society’s publications.

This was the final year of mitigation funding to help various activities of the Society review and reshape their delivery to ensure their budgets come into line with the budget reductions that were implemented in 2021-22. The recovery of the conference room letting and venue-hire business to near pre-pandemic levels is a positive and welcome development. Careful management of our finances ensures that income and expenditure remain broadly balanced. However, many of our activities would not be possible without external financial help. We are very grateful for the support from our donors both small and large.

As always, it is only possible to mention a small selection of the Society’s activities in this introduction. Please read on for a fuller description of the wide range of activities undertaken by the Society in support of the mathematical community.

We are extremely grateful to all members who volunteer to support the work of the Society. None of the achievements detailed in this report would have been possible without the hundreds of people who volunteer their time and expertise to work in partnership with our Council and staff. We extend our heartfelt thanks to all of you.

Jens Marklof, President Simon Edwards, Executive Secretary (CEO)

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CHARTER, OBJECTIVES AND PURPOSE

The London Mathematical Society has, since 1865, been the UK learned society for the dissemination and promotion of mathematical knowledge. Our mission is to advance mathematics through our members and the broader scientific community worldwide.

The Society delivers its charitable aims primarily through funding in support of mathematics. Such activities are vital for the continued health of mathematics as a discipline, which is critical to the UK economy, and which impacts on a wide range of societal activities.

Throughout 2023/24, the Society continued to deliver on the seven charitable objectives and our support of the mathematical sciences community. This report provides an overview of the activities and achievements against these objectives within this period and our plans for 2024/25.

In implementing the Society’s Royal Charter and the formal statement of its objectives, the Society’s Council has previously approved the following interpretation of the objectives to support the day-to-day delivery of the Society work.

The seven charitable objectives for 2023-24 were:

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LMS STRATEGIC GOALS 2023-28

In November 2023, LMS Council agreed a new strategy for the Society for the period 2023-2028. The strategy has three clear goals for the Society to develop its ambitions by building on the on-going work under the charitable objectives. The Society plans to make significant progress on realising these ambitions in the coming five-year period.

LMS in the Global Community

Play an active role in the international mathematical community and develop our international partnerships and our membership, building on the global status of the Society.

In February 2024 we established a Global Engagement working group of Council to consider and review opportunities for the delivery of the global ambitions outlined in the LMS strategy. The group is focussed on the Society’s meetings outside the UK and piloting events, reviewing and updating the governance of LMS global activities to ensure coordinated decision making and exploring opportunities for exchanges between mathematicians at all career stages. Council also approved the creation of a new International Secretary officer role, replacing the current Programme Secretary, that will form part of the 2024 elections. This new role will lead the Society’s strategic global ambition.

During the year, Council agreed to set up a 10-year programme of Distinguished Visiting Fellows at the newly formed International Centre for Mathematics in Ukraine, and this was first advertised in January 2024. The LMS is represented on the scientific board of the ICMU, which selects successful applicants and their local hosts. The first such fellow was Augusto Gerolin (University of Ottawa), who lectured on machine learning in Lviv in July 2024, and at least two more DVFs are expected to visit Lviv and Kyiv later in 2024.

Engaging our Community

Mobilise and connect with current and potential LMS members and the wider mathematics community.

We held and supported over 13 events for the community that celebrated mathematicians, past, present and future. This included a celebration of Kelvin’s 200th anniversary in June 2024; Black Heroes of Mathematics conference in October 2023 run collaboratively with several mathematical organisations in the United Kingdom, and LMS Undergraduate Summer School organised by the University of Essex in July 2024. The Society was promoted at the 9th European Congress of Mathematics (ECM9) held in Seville in July 2024. There were over 150 mathematicians visiting the LMS stand including many members, 100 mathematicians attending the LMS lecture

given by Heather Harrington and 70 mathematicians attending the LMS reception including many EMS prize winners.

A process was developed and introduced to allow members, and the wider community, to self-nominate to LMS committees. This takes place through a twice-yearly open call and is an important route to enhance diversity of representation across the membership. In the first round in April 2024 over 40 members expressed an interest in joining an LMS committee. The process will continue in 2024-25.

Pathways in Mathematics

Promote the importance of mathematics and the provision of opportunities for those that wish to study and develop a career in research mathematics and its applications.

The Maths Summit, run by the Protect Pure Maths campaign, held in March 2024 raised with politicians and policymakers the importance of mathematics and the need for a strong people pipeline if mathematics is to contribute to research, innovation and prosperity. The Protect Pure Maths campaign (in August 2024 relaunched as the Campaign for Mathematical Sciences) has a specific campaign aimed at the maths people pipeline with the aspiration to develop a plan to restore the maths people pipeline, especially the early- and mid-career researchers

who will go on to be leaders in academia and industry, and to help create the next generation of start-ups and breakthrough discoveries.

The Society continues to support those with caring responsibilities through the Emmy Noether Fellowships, supported by the Liber Foundation, and Caring Supplementary Grants so that we maintain a diversity pipeline in mathematics.

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MEMBERSHIP

Objective: To work, through its members and with the mathematical and broader scientific community worldwide, to advance mathematics.

The Membership

Mathematicians and students of mathematics members are the core of the Society membership. Our members, which total around 3,000 in number, are at the heart of the Society as it supports mathematics and the mathematical community. Volunteers’ contributions are vital to the Society in defining its priorities, running its activities, and achieving its objectives. The Society at present has 25 committees with more than 200 volunteer committee roles and other individual roles, as well as 32 volunteer roles representing the Society on external committees. The Society’s diverse membership includes mathematicians from around the world and at a wide variety of different career stages. In 2024, the Society was delighted to elect Professor Sylvia Bozeman, Professor Grigory Margulis and Professor Shigefumi Mori as Honorary Members.

Communications and Engagement

Effective communication with members and other audiences, including the wider mathematics and STEM communities, policy makers and the general public, is key to achieving the Society’s three main aims of disseminating, promoting and advancing mathematical knowledge. It also ensures that both members and nonmembers are kept engaged with the Society and its work, and that the Society itself is kept abreast of the most interesting and exciting developments in mathematics and the mathematicians associated with this work.

In 2023–24, the internal Communications team at De Morgan House has continued to work to improve the Society’s social media output. This has seen all metrics increase significantly, particularly on X (Twitter), where impressions (the number of times a post has been seen) and engagements (the number of interactions with a post) increased by 160% and 212%, respectively, in the 6-month period September 2023 – March 2024. We have also worked to align with national and international awareness months, for example by creating case studies of LGBTQ+ mathematicians during Pride month in June 2024. We continue to promote LMS events, grants and other opportunities widely on the LMS website, mailing

2024 Honorary Members Sylvia Bozeman, Grigory Margulis and Shigefumi Mori

lists, e-updates, the LMS Newsletter and via external organisations and events, as well as on social media.

In March 2024, Council approved an updated version of the Communications Strategy and Operational Plan. This document outlines a set of strategic communications objectives that directly support the Society’s three strategic focus areas for the period 2023-2028 and proposes actions to complete these objectives.

Engagement with Government and Media

Effective communication ensures that the Society can identify current concerns in the community and help to address them. This year, the Society continued to work closely with the Protect Pure Maths campaign (now renamed the Campaign for Mathematical Sciences) to engage with government and media and influence policy and decision-making at the highest level. In 2024 the campaign renewed its focus on securing adequate funding for the mathematical sciences and safeguarding teaching and research at UK universities. The Maths Summit and parliamentary roundtable held in March 2024 offered opportunities to engage directly with key stakeholders.

Engagement with Higher Education

The Society has a network of LMS Representatives across UK universities, who help us to identify issues of concern and to communicate with our members. Currently, there are 67 LMS Representatives with whom the Society can engage and obtain feedback. In

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addition to the LMS Representatives, we have a network of Good Practice Scheme (GPS) Representatives who encourage mathematics departments to embed equal opportunities for women within their working practices. There are currently 57 GPS Representatives at departments across the UK. The Society has also continued to build its network of Teaching Mathematics as a Career (TeMaC) Representatives. The TeMaC initiative supports university mathematics departments in encouraging their undergraduate and postgraduate students to consider a career teaching mathematics. There are currently 43 TeMaC Representatives based in universities around the UK (see the section Education and Engaging with the Public for more details).

Engagement with LMS Members and the Wider Mathematics Community

We use a variety of channels to promote LMS events, grants and other activities. In addition to the LMS website and e-bulletins, we post information to several mathematics and mathematics-related mailing lists, some of which are targeted to specific groups. In the past year we have been working to extend our network of contacts so enable us to communicate with non-members who may be interested in the LMS and its work. The Society’s Newsletter, available electronically and in-print, continues to be a core communication channel.

2023–24 highlights

2024–25 plans

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EQUITY, DIVERSITY AND INCLUSION

Objective: In all the Society’s activities, to recognise, welcome and promote diversity in the mathematical sciences community both in the UK and internationally, through an open, inclusive, respectful, and accessible approach.

Ensuring that as much mathematical talent as possible is discovered and developed regardless of background is critical both in the interests of fairness and in the interests of academia, industry and society as a whole. This objective guides the Society’s work, particularly with respect to the transitions between the early career stages (undergraduate to postgraduate and postgraduate to postdoctoral) and with respect to women in mathematics and diversity more broadly. The Society has also recognised concerns regarding career progression, particularly for Early Career Researchers, and during the year redistributed funding

from undersubscribed grant schemes to enhance the funding of its Early Career Fellowships.

Early career progression

The Society operates a number of schemes which provide support for the early career progress of mathematicians at undergraduate, postgraduate and postdoctoral level as well as for women in mathematics. A brief summary of the key Society schemes is given below, with further details contained in Annex 5.

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For undergraduates, thereare Undergraduate Research Bursaries (now in their tenth year), Undergraduate Summer Schools, and the new International Centre for Mathematical Sciences and London Mathematical Society (ICMS-LMS) UK Undergraduate Mathematics Colloquia. In 2023-24:

For postgraduates, there are LMS Research Schools, Cecil King Travel Scholarships to fund study or research abroad and Postgraduate Conference Grants. In 2023-24:

For post-docs and those starting new lecturer positions, there are LMS Early Career Fellowship and Celebrating New Appointment Grants. In 2023-24:

For Early Career Researchers (ECR) at both postgraduate and post-doc level, there are the ECR Travel Grants and the new online ECR Professional Development Panel discussions session. In 2023-24:

Women and Diversity in Mathematics

Committee for Women and Diversity in Mathematics

The Society focuses on diversity within the mathematical sciences community through the Committee for Women and Diversity in Mathematics (CWDM). The Committee has representatives from the Institute of Mathematics and its Application (IMA), the Royal Statistical Society (RSS), the Operational Research Society (ORS), the Edinburgh Mathematical Society (EMS) and European Women in Mathematics (EWM).

On 19 October 2023 the Committee held the Mary Cartwright Society Meeting and Lecture at ICMS, Edinburgh. The Mary Cartwright Lecturer was Tara Brendle, who spoke on ‘Ivanov’s metaconjecture: encoding symmetries of surfaces’. The supporting lecture, on ‘Reconstruction problems in mathematics: from Euclid to Ivanov’, was given by Dan Margalit.

The sub-committee of CWDM, the Good Practice Scheme (GPS) Working Group, held an online GPS Workshop on 31 May 2024. Participants heard from leading figures in the mathematical and physical sciences who were working on improving and enhancing the culture within research communities. The speakers were Annette Bramley, Katie Severn, Iain Gordon and Joy Singarayer.

The Committee awarded many grants in 2023/24. A total of £1.7k was awarded for Caring Supplementary Grants. This scheme offers small grants to allow applicants with caring responsibilities to attend mathematics conferences and related events. The Committee awarded grants to the Piscopia and to the ‘PhD Your Way’ initiatives, which contributed towards events aimed at improving the diversity of the PhD applicant pool, and to the LBGTQ STEMinar, which showcased work from diverse fields and encouraged collaborations between different departments, universities, companies and disciplines. A grant of £1,000 was awarded for a Women and Non-Binary People in Maths Day held in Oxford in February 2024; the title of the event was ‘Solving the Leaky Pipeline Problem’ and the focus was on narrowing the gender gap at each stage of the career development of mathematicians.

Finally, thanks to continued donations from the Liber Stiftung, the Committee awarded a total of £25,000 in Emmy Noether Fellowships. This scheme offers grants of up to £10,000 each to enhance the maths research of holders either re-establishing their career after a break or dealing with significant caring responsibilities.

In addition to the above, the Committee undertook

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a review of its grant portfolio, which looked at whether its current schemes serve the needs of the community. It issued a social media survey to gather views on what sort of schemes the community would like to see. Following an internal review which took into consideration the survey responses, the Committee agreed to launch a new ‘Inclusion and Diversity Fund’ in 2024/25; this scheme will have a broad remit, aiming to support any event or activity that promotes equity, diversity and inclusion in mathematics. The fund will replace the existing Women and Nonbinary, Diversity, and Girls in Mathematics grant programmes, which have a narrower remit.

The Committee progressed its work on gathering diversity data for LMS members, developing survey questions, and drafting explanatory text to highlight the importance of data collection. The aim is to complete this work by December 2024. The Autumn meeting of the committee will focus on diversity and LMS prizes.

Finally, the Society formally articulated its commitment to equity, diversity, and inclusion (EDI) through an online statement published this year, which also outlined the Society’s ongoing work in this area.

2023–24 highlights

2024–25 plans

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SUPPORTING MATHEMATICS RESEARCH

Objective: to advance mathematical knowledge by enabling mathematicians to undertake research and collaboration, and by supporting them in their efforts.

The Society supports mathematical research by making grants, awarding prizes, maintaining and making available the Society’s Library, and, as well as through its academic publishing activities.

Grants

The Society’s grants schemes (listed in Annex 5) are a core part of the Society’s work to advance mathematical knowledge. Financial support for mathematicians includes grants to:

The Society’s smaller-scale grants fulfil a crucial role in the UK mathematical funding landscape. These grants can offer mathematicians the opportunity to organise muchneeded specialist conferences, work collaboratively through short visits, and enable the development of research partnerships, all of which significantly contribute to career development and promote UK mathematical research at its roots.

Through its core research grant scheme, the Society has continued to provide support to many mathematicians and their research. In 2023-24 the Society’s Research Grants Committee awarded a total of £351,396 via 192 grants through its core scheme.

The LMS-Bath Mathematical Symposia are being held at the University of Bath until 2025 to continue the established and recognised series of international research meetings, which was founded at Durham University in 1974. The format is designed to allow substantial time for interaction and research. The meetings are by invitation only, usually lasting for two weeks, with up to 50 participants, roughly half of whom will come from the UK.

A novel element of the LMS-Bath Mathematical Symposia is that they will be complemented by a summer school, which takes place prior to the Symposium to prepare young researchers such as PhD students, or a “research incubator” after the Symposium, where problems related to the topic of the conference are studied in groups. These

events can take up to an additional week. The LMS-Bath Mathematical Symposia, with substantial funding from the Isaac Newton Institute, took place in 2024:

LMS Council awarded the task of hosting the Mathematical Symposia from 2026 – 2030 to the University of Sheffield.

The 75th British Mathematical Colloquium was held at Manchester University from 17th – 20th June 2024. The Society contributed a grant of £15,000 towards organisation of the Colloquium, and held its Society Meeting there on19 June 2024, where Corinna Ulcigrai (Universität Zurich), gave a lecture entitled “Dynamics and rigidity of surface flows”.

International schemes

The Society supports international mathematical activities through its partnerships with the American University in Beirut (AUB), Mathematics in Africa, and the International Mathematical Union (IMU). The Society is the UK’s ‘adhering organisation’ to the IMU, through the International Affairs Committee. The Society also offers travel grants to support attendance by UKbased mathematicians at the European Congress of Mathematics (ECM) and the International Congress of Mathematicians (ICM).

Following discussions at the 2022 IMU General Assembly, the Society agreed to help pay Ukraine’s IMU subscription fees, with other countries including Germany and Georgia committing to help cover fees as required. The Society also continued to support the Solidarity Programme, led by the Issac Newton Institute and funded by XTX Markets, to provide refuge to researchers in the mathematical sciences. To date, 19 scientists have been awarded a Solidarity Welcome Grant, 13 of those scientists have been awarded a Solidarity Supplementary grant and are hosted in 12 different UK institutions. As grants end, 4 of those scientists have been awarded Solidarity Bridge grants to assist them in their next steps.

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In 2023-2024, the Society and the AUB ran a fifth round of the Atiyah UK-Lebanon Fellowships to provide support for either an established UK based mathematician to visit Lebanon for up to six months or for a mathematician from the Lebanon of any level to visit the UK to further their study or research for a period of up to 12 months. Two Fellowships were awarded in 2022-23 in a partnership with ICMS and AUB. Prof Georges Habib (Lebanese University) visited the University of Durham from July-September 2024 and Prof Julia Wolf (University of Cambridge) will have made two visits to the AUB in 2024.

Council agreed to set up a programme of Distinguished Visiting Fellows at the International Centre for Mathematics in Ukraine (ICMU), and this was first advertised in January 2024. The LMS is represented on the scientific board of the ICMU, which selects successful applicatnts and their local hosts. The first such fellow was Augusto Gerolin (University of Ottawa), who lectured in Lviv in July.

Prizes

The Society awarded a number of LMS Prizes this year, as well as working in partnership with the Institute of Mathematics and its Applications (IMA) to award the IMA-LMS Christopher Zeeman Medal. The most prestigious prize of the year, the Pólya Prize, was awarded to Professor Gui-Qiang Chen, for his deep research into nonlinear partial differential equations, and in particular his rigorous theoretical analysis of the equations of gas dynamics, especially those involving transonic flows. The Zeeman Medal was awarded to Brady Haran, for his exceptional work in the field of mathematics communication, including his phenomenally successful YouTube channel Numberphile. The Society also awarded the Bachelier Prize to Professor Peter Tankov, for his influential research contributions to applied probability, computational finance and mathematical modelling in finance. The Bachelier Prize is awarded jointly with the Natixis Foundation for Research and Innovation and the Société de Mathématiques Appliquées et Industrielles (SMAI). Prizes were also awarded to: Professor Christopher Bishop (Senior Berwick Prize), Professor Samir Silsek (Shepherd Prize), Professor Emmanual Breuillard (Fröhlich Prize), Dr Ana Ros Camacho (Anne Bennett Prize) and Dr Sabine Bögli, Dr Viveka Erlandsson, Professor James Newton, Dr Clarice Poon, Dr Julian Sahasrabudhe, Professor Alessanddro Sisto (Whitehead Prizes). The Society extends its warmest congratulations to all prize winners.

Library

As one of the core functions of the LMS, is the maintenance and curation of the Society’s Library which is housed at University College London. The Library Committee, with representatives from the Science Library at UCL, annually review the Society’s active international journal exchange agreements and services offered by the UCL Library to members of the Society. Due to the post-pandemic backlog that the UCL Library faced, its Acquisitions Librarian has been regularly liaising with the Library Committee Secretariat to evaluate which of the physical copies of the exchange titles should remain at the UCL Library to maintain the LMS Library’s commitment to provide access for members. Following the transition to Open Access many of the exchange titles are available in online form and accessible via the UCL Library’s many institutional agreements.

The Library Committee contributed to the organisation and running of the 200th Kelvin Anniversary Meeting, which took place during the 2024 LMS General Meeting, on 28 June 2024. The Meeting featured a diverse list of speakers, comprising of Mark McCartney (Ulster University), Luke K. Davis (University College London), Ruiping Mu (Northwest University). Rosalba Garcia-Millan (Kings College London), Jemma Lorenat (Pitzer College), Joe Goddard (UC San Diego).

The Library Committee also facilitated the organisation of the 2024 LMS Spitalfields History of Mathematics Meetings and Hirst Lecture, which took place on April 2024 with great success, with two lectures given by the winner of the 2023 Joint LMS-BSHM Hirst Prize and Lectureship, Erhard Scholz (Bergische Universität Wuppertal) and Jeremy Gray (The Open University)

Computer Science

The LMS/BCS-FACS (British Computer Society-Formal Aspects of Computing Science) Evening Seminar, held in collaboration with the FACS Specialist Group, was held on 15 January 2024 at De Morgan House and via Zoom. The speaker was Professor Laurence C Paulson FRS (Cambridge). The talk was filmed and later posted to the Society’s YouTube channel. The Computer Science Committee awarded two Scheme 7 grants to facilitate collaborations in research at the interface of mathematics and computer science, to a total of £1,500.

Publications

The Society’s journals provide a high-quality peerreview service, supported by a diverse pool of volunteer reviewers and overseen by international editorial boards of subject specialists. Peer review subjects submitted research to scrutiny by experts in the field to test its validity and provide constructive feedback to improve research articles.

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2023–24 highlights

2024–25 plans

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REPRESENTING AND PROMOTING MATHEMATICS

Objective: to promote widely mathematical sciences research and its broad benefits to decision makers, policy advisers, funders, and users of mathematics.

Through its external and public relations. the Society aims to ensure that the centrality of mathematics to so many aspects of society is represented to Government, other national policymakers and influential organisations and individuals in order to inform debate and improve decision-making. The Society undertakes significant collaborative work advocating for mathematics both individually and through the Council for the Mathematical Sciences (CMS).

Public affairs

The LMS stand at 9ECM

The Society continued to partner with XTX Markets, who generously fund the campaign to Protect Pure Maths (now renamed the Campaign for Mathematical Sciences). Working closely with Connect Public Affairs, the campaign focused on the following: to ensure that maths funding properly reflects the value of maths to society, to ensure that maths is represented and understood in the UK’s parliaments, to strengthen the voice of industry in maths policymaking, and to stop any further cuts to pure maths in universities. Over the last year the campaign has had several notable successes including its organisation of the first-ever UK Maths Summit, held on 12 March 2024 at the Science Museum in London. The summit brought together leaders from academia, industry, education, and politics to explore how the mathematical sciences can support research, innovation and prosperity, ahead of the General Election which took place later in the year.

The LMS Research Policy Committee continues to cultivate its relationship with the Engineering and Physical Sciences Research Council (EPSRC), working closely with EPSRC representatives to keep informed of the latest developments relating to mathematics research funding and to advocate on behalf of the community.

For the eleventh year the mathematical sciences, through the CMS, were represented in the prestigious STEM for Britain poster competition, which brings together young researchers across all STEM disciplines and Members of Parliament. The event was held at the House of Commons.

9th European Congress of Mathematics

The Society attended 9th European Congress of Mathematics (ECM9) in Seville and promoted the society though a conference stand, an LMS Lecture delivered by Heather Harrington (Oxford) and an LMS reception hosted by President Jens Marklof. LMS staff

were delighted with the engagement with ECM9 delegates at the LMS stand. The global recognition of the LMS was evident with many attendees highlighting the value of LMS events, grants and publications across the international mathematics community.

Council for the Mathematical Sciences

The Society is a founding member of the CMS which aims, through its member bodies, to draw together the mathematical community to speak with one voice on national issues of mutual concern. The CMS provides a forum for the consideration of matters of joint interest; it responds and makes representations to Government and others.

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During 2023-24 CMS has worked collaboratively to support the Academy of the Mathematical Sciences. This included the authoring and design of the Maths Manifesto and support for the Maths Summit. The CMS worked in partnership with UKRI to arrange a series of roundtables with mathematicians with expertise in the key areas relating to the UKRI strategic themes.

Collaborative working

The Society works actively and collaboratively through its membership of, and funding for, a number of mathematics and science organisations. This ensures the interests of mathematics are represented in national policy and public debates, and the Society is kept informed of external policy issues. The Society is a member of the UK Parliamentary and Scientific Committee, the British Science Association, the Joint Mathematical Council, the Campaign for Science and Engineering (CaSE) and the Foundation for Science and Technology. The Society also works in association with the Heads of Departments of Mathematical Sciences (HoDoMS) and is a member of the Parliamentary Affairs Committee (run by the Royal Society of Biology, on behalf of other STEM learned bodies). The Society maintains representation within a number of other organisations, including the Programme and Scientific Committees of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute (INI). This year the Society provided funding for the Royal Society ACME Mathematics Futures Programme.

2023–24 highlights

2024–25 plans

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DISSEMINATING MATHEMATICS

Objective: to disseminate mathematical knowledge and make it available worldwide.

The Society has been a publisher of academic content since the first issue of the Proceedings of the London Mathematical Society in 1865 and continues to publish high quality publications to advance mathematics and enhance the mathematical research community. Society Meetings and Lecture Series enable both members of the community and the wider public to meet, hear about and discuss current mathematical thinking and developments.

Academic Publications

The Society publishes ten peer-reviewed journals, five of which are in collaboration with other learned societies and institutions, as well as two book series and individual book titles. Through its publications the Society aims to disseminate high-quality mathematical research and thinking worldwide.

The portfolio of high-quality journals and books serve our authors through transparent and timely editorial and production processes, and serve our readers by providing content of wide interest and high quality. The Society provides free online access to its journals to members of the Society and provides free or substantially discounted access to researchers in lowincome economies. Society members are also entitled to a discount when purchasing books from the Society’s two book series.

During 2023, the Society’s wholly owned journals received a total of 2,314 submissions (up from 2,167 in 2022) and the Editors accepted 410 articles for publication (up from 396). Articles in the Society’s journals received more than 279k full text views in 2023, compared to 207k in 2022.

The Society continues to see growth in Open Access articles within its journals, primarily driven by the institutional agreements of our publisher, Wiley. In 2023, 54% of the articles published in the Society’s wholly owned journals were published on an Open Access basis (up from 38% in 2022). The Society is continuing work to ensure that there are compliant options available to authors whose funders have mandated that they publish with immediate open access.

The Society developed a new Ethical Policy for Journals, with clear and comprehensive ethical guidelines for Authors, Reviewers and Editors. The Society continues to develop strategies, identify risks and opportunities and to engage with wider developments that may affect its publishing programme.

During the year, the Society undertook a significant reorganisation of the shared Editorial Board of the Bulletin of the London Mathematical Society and the Journal of the London Mathematical Society. The shared Editorial Board of these journals now includes seven Section Editors, each of whom oversees and is responsible for accepting papers in a different area of the journals’ scope. With the introduction of the Section Editors and their specialist expertise, both journals now welcome the submission of papers which are more specialised, alongside the general interest papers for which the journals are well known.

The Society renewed its partnership with the Foundation Compositio Mathematica to publish the Foundation’s flagship journal, Compositio Mathematica, and continued to work with the Foundation on the launch of its new, fully open access publication, Moduli. The first Moduli articles were published in the Summer of 2024. The Society also renewed its partnership with UCL to publish Mathematika, and its partnership with Cambridge University Press to publish the LMS Lecture Notes and LMS Student Texts book series.

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Society Lectures and Meetings

Meetings

Society Meetings enable both members of the mathematical community and the wider public to meet, hear about and discuss current mathematical thinking and

developments. In 2023-24, the Society continued to host some of its meetings as hybrid events, with participation from attendees both remotely and in-person, while other Society Meetings were held online, with support from the host institutions and the ICMS.

2023 – 24 Programme of Society Meetings:

2023–24 Programme of Society Meetings:
Date Venue Meeting Speakers
4 September 2023 Kings Manor, University of
York		 LMS Northern Regional
Meeting 2023		 Anne Schilling (UC Davis)
Lewis Topley (University of Bath)
Beth Romano (Kings College
London).
3-4 October 2023 Zoom, hosted by the ICMS Black Heroes of
Mathematics		 Fatumah Atuhaire (Southampton
University)
Luke Davis (University College
London)
Nicole Joseph (Peabody College)
Megel Barker (TASIS The American
School in England)
Gilbert Owusu (President of the
Operational Research Society)
Manuela Souza (Universidade
Federal da Bahia)
Tobi George-Oyederin (Notting-
ham University)
Prince Osei(AIMS Ghana)
13 October 2023 De Morgan House, London,
and online		 LMS/IMA Joint Meeting
2023
The Mathematical Founda-
tions of Artificial Intelligence		 Michael Bronstein (University of
Oxford)
Lisa Kreusser (University of Bath)
Gitta Kutyniok (LMU München)
David Saad (Aston University)
Petar Veličković (DeepMind and
Universityof Cambridge)
19 October 2023 ICMS, Edinburgh and online Mary Cartwright Lecture
2023		 Mary Cartwright Lecturer: Tara
Brendle (University of Glasgow)
Dan Margalit (Vanderbilt
University)
17 November 2023 Mary Ward House, London
and online		 LMS Annual General
Meeting and Presidential
Address 2023		 Ulrike Tillmann (INI-Cambridge)
Oscar Randal-Williams (University
of Cambridge)
17 January 2024 University of Bath, Bath LMS South West and South
Wales Regional Meeting
2024		 Michael Bate (University of York
Dan Ciubotaru (University of
Oxford)
Radha Kessar (University of Man-
chester)
25 March 2024 Durham University, Durham LMS Northern Regional
Meeting 2024		 Sophie Morier-Genoud (Université
de Reims)
Matthew Pressland (University of
Glasgow)
Ian Short(The Open University)

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2 April 2024 Loughborough University,
Loughborough		 LMS Midlands Regional
Meeting 2024		 Jonathan Bennett (University of
Birmingham)
Oana Ivanovici (Sorbonne
Université)
Christopher Sogge (Johns Hopkins
University)
26 April 2024 De Morgan House, London
and online		 LMS Spitalfields History of
Mathematics Meeting and
Hirst Lecture 2024		 Hirst Lecturer:Erhard Scholz
(Bergische Universität Wuppertal)
Jeremy Gray (The Open
University)
19 June 2024 University of Manchester,
Manchester		 LMS Society Meeting at the
British Mathematical
Colloquium 2024		 Corinna Ulcigrai (Universität Zürich)
28 June 2024 De Morgan House, London
and online		 LMS General Meeting and
Celebration of Kelvin’s
200th Anniversary
Hosted in partnership with
BSHM and University of
Glasgow		 Mark McCartney (Ulster University)
Luke K. Davis (University College
London)
Ruiping Mu (Northwest University)
Rosalba Garcia-Millan (Kings
College London)
Jemma Lorenat (Pitzer College)
Joe Goddard(UC San Diego)
16 July 2024 University of Seville, Sevilla,
Spain		 LMS Lecture at the 9th
European Congress of
Mathematics		 Heather Harrington (University of
Oxford)

2023–24 highlights

2024–25 plans

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ENGAGING WITH EDUCATION AND THE PUBLIC

Objective: to support mathematical education in schools, colleges and universities, and to encourage the public and young people to appreciate and engage with mathematics.

The Society wants the wider public and young people in particular to have the opportunity to engage with and appreciate mathematics and recognise its contributions to society. It operates a number of initiatives that aim to achieve this.

Education

The Education Committee works on a number of different activities and schemes, including grants for education, public lectures and responses to consultations.

‘Grants for Teaching and Learning in HE’ scheme, which partially funds one-day workshops disseminating good practice in teaching undergraduate mathematics. Part of this award included the LMS contribution towards the joint IMA, LMS and RSS Teaching and Learning in HE Workshop Series, which is administered by the IMA. In addition, 10 awards totalling £4,910 were made under the Small Grants for Education scheme, in support of events or activities that stimulate interest and enable involvement in mathematics from primary school to undergraduate level.

Outreach and Mathematics

Mathematics Education Policy

The Committee continues to work closely with other groups and societies in the area of mathematics education, including the Advisory Committee on Mathematics Education (ACME), the Joint Mathematical Council of the UK (JMC), Heads of Departments of Mathematical Sciences (HoDoMS) and the Institute for Mathematics and its Applications (IMA). A member of the committee represents the LMS on the IMA’s Mathematics Scholarship Scheme Management Group. The Committee also works with others to respond to Government consultations: in March 2024, it submitted a response on the proposed ‘Advanced British Standard’. This was developed in collaboration with the IMA. In addition, in November 2023, the committee submitted individual responses to the Royal Society Mathematical Futures discussion paper ‘A new approach to mathematics and data education’, and to the Ofqual consultation ‘Proposed Changes to the Assessment of Mathematics, Physics and Combined Science GCSEs in 2024’.

Education Committee Grants

This year the Society awarded 3 grants under its ‘Mathematics Education Conference Grants’ scheme, totalling £4,200. The scheme provides support to organisers of regular mathematics education conferences and is intended to contribute to the travel/ subsistence expenses of attendees at the event in question. The Society also awarded £2,000 under its

The Education Committee continues to run the Holgate Lectures and Workshops Scheme. The scheme provides session leaders who give talks or run workshops on a mathematical subject to groups of students or teachers. The sessions are specifically mathematical in content (rather than, say, career talks) and are intended to enrich and enhance mathematical education, looking both within and beyond the curriculum. In 2023/24 the Committee appointed two new Holgate Lecturers, Niki Kalaydzhieva and Jenny Sharp, following the retirement of Jonny Griffiths, who had been a Holgate Lecturer since 2019. There are currently three Holgate Lecturers in total.

The Education Committee held the third Mathematics Communication Workshop events in May 2024. Two day-long workshops were held, one online and one inperson at the University of Manchester. The workshops were limited to 20 attendees and received much positive feedback.

The Committee held a Popular Lecture on 9 May 2024 at Bramall Hall Birmingham, at which Sarah Hart spoke on ‘The beautiful connections between mathematics and literature’.

The annual LMS/Gresham Lecture was held on 22 May 2024. The Gresham Lecturer was Oliver Johnson, who gave a talk on Logarithms: Mobile Phones, Modelling and Statistics? .

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In May 2024, the Education Committee held its annual Education Day as an in-person event at De Morgan House. The theme of the day was ‘Mathematics, AI and DigiTech Futures’ and it included a keynote speech, short presentations of discussion papers and three breakout groups which looked at sharing and showcasing good practice. The day was attended by around 60 people. Presentations were later posted on the LMS website and a report included in the LMS Newsletter.

The first event in a new Bookshops Series, in which authors talk about their recently published mathematics books with a host, was held on 17 July. Sarah Hart discussed her book, ‘Once Upon a Prime: The Wondrous Connection Between Mathematics and Literature’, with Rob Eastaway. The event was well attended and the second two events in the series will be held in September and October 2024.

Levelling Up: Maths

represented backgrounds in mathematics. Working together with the IMA, the scheme now operates across 13 English universities and 6 Scottish universities. The Society works directly with eight universities: University of Coventry; University of Durham; University of Kent; the University of Hertfordshire; University of Southampton, Queen Mary University of London; University of Newcastle and University of Warwick. The LMS have commissioned a series of case studies to highlight the impact of the scheme, a review of the academic content and a review of the technology and devices used to deliver the scheme.

Teaching Mathematics as a Career

The Education sub-committee, ‘Teaching Mathematics as a Career’ (TeMaC), continues to work towards formulating and implementing the Society’s response to the national shortage of suitably qualified mathematics teachers in the UK. The network of TeMaC representatives in universities across the UK now stands at 43.

The Society continued to work on the Levelling Up: Maths scheme which was made possible by continuing donations from Tony Hill and Simon Godwin. The Scheme seeks to widen participation of students from under-

2023–24 highlights

2024–25 plans

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MANAGING THE SOCIETY EFFECTIVELY

Objective: to manage the Society’s affairs and resources effectively and efficiently, operating where appropriate to make a not-for-profit financial return on activities, and to seek a variety of funding sources to support the Society’s work.

The Society aims to ensure that its resources are put to best possible use in achieving its mission and objectives. In all its operations it aims to ensure the longevity of the Society and plan for future circumstances, while also meeting the current needs of mathematics and its community.

In doing so the Society ensures it follows best governance practices by operating in accordance with its Charter, Statutes and By-Laws and by referring to guidance from the Charity Commission and, where appropriate, professional advisors (Annex 1).

The Society is governed by a Council of Member Trustees, elected by the membership from the mathematical community (Annex 1). Day-to-day operations are undertaken by members of staff (Annex 4). Council has chosen to delegate decision making on a number of matters to 18 standing committees and has also set up a number of temporary ad-hoc committees to deal with specific items of business (Annex 2). Council also maintains and reviews annually a Risk Register with respect to all activities undertaken by the Society.

The Society runs its financial operations in accordance with best accounting practices and ensures that all its plans and activities are underpinned by a sound financial structure. The Society’s financial and governance affairs are externally audited on an annual basis.

Development Activities

In 2023-24, the Society received a number of notable donations. Dr Tony Hill and Simon Godwin, continued with their generous donation enabling the expansion of the Levelling Up: Maths scheme which originally went live in March 2021. The Society is now acting as the hub for eight participating universities.

The Society would once again like to thank XTX Markets for its very generous donations in funding the Protect Pure Maths campaign (now renamed Campaign for Mathematical Sciences) and also the INI/LMS Solidarity Grants to support those academics fleeing from the war

in Ukraine.

In 2023-24, the Heilbronn Institute for Mathematical Research (HIMR) contributed £20,000 towards the Undergraduate Research Bursaries, £15,000 towards the LMS Research Schools, £20,000 towards the LMS Early Career Fellowships, and £2,000 towards 9ECM travel grants.

In 2023-24, the Isaac Newton Institute (INI) contributed funding support to the LMS-Bath Mathematical Symposia and the associated summer school, the Liber Foundation contributed £25,000 to the Emmy Noether Fellowship programme, and Zubin Siganporia contributed £5,000 to the Mathematics Communication and Outreach Workshops.

The Society is most grateful to all donors for their gifts, which help ensure that the financial foundation of the organisation is as secure as possible for future generations, as well as making sure that the importance of the mathematical sciences is understood as widely as possible in industry and beyond.

In undertaking our fundraising activities, the Society does not raise funds from the public. Our fundraising activities are primarily focused on donations from our membership and corporate and charitable organisations closely aligned with mathematics. We are not currently registered with the Fundraising Regulator but work in line with best practice. We received no complaints related to our fundraising activity during the year.

Sustainability

The Society has a sustainability policy with energy efficiency and waste management improvements being made at De Morgan House. This year, the Society began to review its charitable activities with a view to changes that could be made to reduce their impact on the environment. This has included encouraging those in receipt of Society grants to take sustainability into consideration in their plans and working towards lower carbon travel – and travel-free alternatives such as online participation - for the Society’s events and

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lectureships. We also reduced the amount of printed promotional material displayed at LMS events and have instead been working to better integrate our print and online promotional channels.

More detailed information on how the Society operates is available in the sub-sections that follow:

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Governance and the Public Benefit

Governance

The Society’s governing body is its Council, members of which are also the Trustees of the charity. The Council consists of 20 members of the Society of whom 8 are Officers (including the President) and 12 are Members-at-Large, including one ‘Member-at-Large (Women and Diversity)’.

The Officers of the Society, together with the Executive Secretary, comprise the Finance and General Purposes Committee (F&GPC), which is responsible for providing advice to Council on a number of ad-hoc matters, implementing Council’s decisions and ongoing financial management.

All candidates for election to Council are provided with information on the roles and responsibilities of Trustees. Those elected attend an induction about the work of the Society and the responsibilities of a Trustee. All Council members are required to return a Declaration of Interests, a Related Party Declaration, a Declaration as a Fit and Proper Person, and to sign up to the Society’s Anti-Bribery policy. Staff in management positions also sign an annual Declaration of Interests.

Council met five times in 2023-24: in October and November 2023 and February, April, and June 2024. The Finance & General Purposes Committee met four times: in September 2023 and in January, March, and June 2024. The Society holds an Annual General Meeting and a mid-year General Meeting each year; in 2023-24 these were held in November 2023 and June 2024 respectively. Council has established several standing committees which advise Council and to which it has delegated some decision making. A list of all committees and their membership is given in Annex 2.

As Trustees, Council members receive reimbursement only for expenses actually incurred in attending meetings or representing the Society. However, if a Trustee carries out work for the Society over and above normal Trustee’s duties, the Society may pay an honorarium for that service if there is a written

agreement produced in advance between the Society and the Trustee outlining the work to be undertaken and stating the exact or maximum amount. There was no paid work carried out by Trustees during the year.

The Society depends heavily on the unpaid voluntary work of many of its members and others across the mathematical community. This includes those who referee papers submitted to the Society’s publications, those who edit those publications or serve on the Society’s Editorial Advisory Boards, those who serve on the Society’s committees and those who represent the Society on other bodies, together with the members of the Council themselves, many of whom take on significant responsibilities for the Society. The Society appoints representatives on external bodies and committees; these are listed in Annex 3.

Public benefit

In shaping objectives for the year and planning activities, Council has considered the Charity Commission’s guidelines on Public Benefit, including the guidance, ‘Public benefit: running a charity’ (PB2).

Council holds that the development and extension of mathematical knowledge, expanding humanity’s ability to determine and affect the natural, artificial, and social worlds, leads overwhelmingly to public benefit, providing for improved health and wealth for nations and individuals and providing tools to understand and sustain the world in which we live. The Society’s activities directly correlate with its mission and its objectives which are outlined on page 3 of this report.

Members of the general public are able to participate without charge in all Society activities of a suitable level. Charges for events aimed at professional mathematicians, whether or not members of the Society, are kept low, a policy that is maintained when deciding on criteria for grant awards. Publications are sold at prices that keep them competitive in the academic publishing world.

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Financial Review

During the year, the value of the Society’s total assets rose from about £20m to £22m.

Historically, the Society’s journals publishing programme has generated the majority of the income needed to run its charitable objectives. However, it is facing enormous challenges as the academic journals publishing landscape becomes more complex and established revenue streams are threatened. Ongoing shifts in publishing business models and the rise in Open Access publishing pose potential risks to publication income. The Society has taken steps to manage the impact of these changes to its finances.

In the period 2023/24 income (excluding gains on investment assets) exceeded expenditure by £302k. The apparent surplus was mainly due to restricted donations that have not been fully spent for the Solidarity grants programme and the Protect Pure Maths Campaign (PPM) during the year. However, the fund for both is expected to be spent in the coming financial year. Continued robust financial management by staff and trustees ensured that operational income and expenditure are broadly in line.

The Society is in a financially sustainable position to pursue its charitable objectives and has significant reserves readily available to fund future activities. The Society continues to work on developing new sources of funding. Given the continuing volatility in the economic climate, the Society will keep under review the possibility of using resources to further the Society’s aims.

The unrealised gain on investment value was £1.13m.

Changes in economic conditions have driven a significant improvement in the USS pension scheme’s funding position. According to USS advice, no deficit recovery plan was required resulting from the 2023 valuation, because the USS pension scheme was in surplus. This meant the deficit recovery contributions required after the 2020 valuation were no longer needed, therefore no provision of Pension Liability appears on the Society’s balance sheet as a result. Using the current USS Actuarial modeller, the Society made an actuarial gain of £499k this year, which removes the entire pension liabilities accumulated in the previous years.

The sources of income (Figure 1, page 23) were:

Publications: 42.4% Investments: 19.9% Donations: 17.9% Conference facilities and rentals: 10.2% Grants and Contracts: 4.8% Members’ subscriptions: 4.7% Advertisements in LMS Newsletter : 0.1%

The conference income is returning to near prepandemic levels, but the type of bookings has changed as well as the expectations of clients for conferences so competition for business is much harder. The Society has invested in technology to allow hybrid meetings as well as more flexibility using the meeting space available for different types of events. Council has monitored the return of the conference business and receives regular updates.

Figure 2 (page 24) shows expenditure (including governance and support costs) broken down by objective.

These were:

Advancing mathematics (e.g. membership, links with the mathematics community, library, prizes): 10.1%

Enabling mathematics (e.g. grants, and training courses): 31.2%

Disseminating mathematics (e.g. publishing, meetings and lectures): 23.2% Promoting mathematics (e.g. decision/ policy makers, education, public, media): 23.4%

Other (e.g. conference facilities costs, managing residential properties, Investment management fees): 12.1%

Budgets are set by Council on the recommendation of F&GPC, based on bids from budget holders, in line with the strategic objectives of the Society. Expenditure is monitored quarterly by F&GPC, which is responsible for

Figure 1: Income sources

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recommending any variation in the budgets set by Council.

The full audited accounts of the Society, including the accounting policies, are annexed to this report.

Risk management

Council and F&GPC annually review the Society’s Risk Register with the aim of ensuring that it identifies and quantifies potential risks to the Society and its plans and objectives, and that it lays out systems and strategies for mitigating those risks. Risks are addressed under the following headings: Governance and Management, Law and Regulation, Reputation, External and Environment, Financial, and Operational. In certain cases, Council has established Designated Funds to set against potential risks (see Reserves below); the risks or commitments that are covered by each fund are reviewed and revised annually.

Figure 2: Expenditure

The Society holds several Restricted Funds, as described in the audited accounts. These originate from various donations and bequests and are invested and accounted for on an aggregated ‘total return’ basis.

Grant Awards and Commitments

Where the Society has contractual or constructive obligations to make grant payments these amounts are accrued in the accounts in accordance with the requirements of the Statement of Recommended Practice (SORP). Resources expended on grants shown in the Statement of Financial Activity (SoFA), therefore, recognise (within the year the grant is awarded) both liabilities and provisions for grant commitments. Normally grant commitments will be claimed by the end of the financial year, although the claim period may be extended by a further year where the start or end date of the grant so requires.

The Risk Register includes the potential threat to publications income, which as noted earlier will have a significant adverse effect on the income which the Society derives from its learned journals.

Reserves

Council reviews its policy on reserves on an annual basis. The unrestricted reserves comprise a General Fund and other Designated Funds. In addition, there are several Restricted Funds. Several specific Designated Funds to meet potential costs of activities, to set against risks relating to the building and to publishing (see above) and to meet grant awards made for projects or activities which span a number of years – these are given at Annex 6.

The Society also awards some grants with conditions for payment (such as delivery of a specific level of service or other specific output). Such commitments are reserved in the Designated Funds, and the grants are only recognised in the SoFA when the recipient of the grant has provided evidence of the specific service or output.

The Society has a broad-ranging programme of activities in support of its strategic objectives as described in this report. While some activities are supported from Restricted Funds, all need continuity of funding. Due to the scale and future risks to academic publishing, Council continues to operate from the basis that it is prudent to hold a General Fund from which income can be drawn to maintain and extend its charitable activities. The General Fund acts both to provide income for activities not funded from Designated or Restricted Funds, and incorporates a ‘free reserve’, providing adequate working capital for the Society to operate effectively and efficiently, and for the pursuit of the Society’s objectives as Council may from time to time determine. A full explanation of the Society’s free reserves in given in Annex 6.

Investments

The Society decided to invest up to 30% of its relevant assets in residential property, as valued at the time of purchase, with the remainder given over to the Society’s investment managers. Investment in such residential property is directly managed by the Society. The percentage calculation excludes the value of De Morgan House. Also excluded are any investments made by the investment managers in the property area of asset classes.

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1. Quoted investments

The Society believes that in investing its funds, regard must be made to environmental, social and governance (ESG) issues. In line with its general investment strategic direction, the Society believes that its investments should mirror its own desire to be sustainable. Currently 100% of its quoted investment is allocated in a Sustainable Multi-Asset Fund tailored to optimize ESG indices (see below).

The investment strategy for the portfolio, which is managed by Cazenove Capital (part of the Schroders group), is modelled to achieve CPI + 4% per annum nominal return over rolling 10-year periods. However, Council recognises that current levels of inflation will likely make it impossible to achieve this goal in the short to medium term.

Drawdown from the portfolio, as agreed by Council, follows the ‘Yale model’ and consists of 50% of the previous year’s drawdown together with 3.5% of 50% of the current value of the portfolio. Thus, the drawdown is determined by a formula and so may be less or greater than the dividends and interest received: it is shown in the SoFA as Investment Income. The growth in the value of the Society’s investments (capital plus income) is the sum of this drawdown and the figure shown in the SoFA for Gains on investment assets. The scale of the Society’s activities is designed to match this level of return through the annual budgeting process.

It is Society policy to review on a regular basis the performance of those professional bodies it employs. Close attention is paid to our investment policy and to the performance of Schroders, with whom we have regular meetings. Accordingly, Council has an Investment Sub-Committee, which includes up to six external financial experts, to provide professional advice on the Society’s investments and on Schroders’ performance. Council has confirmed an investment mandate with discretionary powers with Schroders, based on a ‘total return’ basis, designed to maximise investment income while maintaining the real value of the investments.

The investment managers have discretion in both the mix and selection of investments in order to meet the growth targets for the portfolio, without exposing to undue risk the Society’s reserves, both Restricted and Unrestricted Funds, on which its future capacity to maintain its activities depends. The portfolio has exposure to a range of equity, cash, fixed-interest investments and alternative asset classes in both UK and overseas markets, accessed via the SUTL Cazenove Sustainable Charity Multi-Asset Fund. A summary of the main categories of investments and the geographical split is provided in the notes to the financial statements in accordance with the Charities’ SORP. The Sustainable Multi-Asset fund is designed for charities seeking to maintain the real value of their capital over the medium to long term whilst generating a sustainable and reliable distribution level (from income and capital). The portfolio which aims to deliver returns similar to equity markets but with a lower level of volatility, is well diversified across asset classes. This approach is considered by the trustees to give optimum total return without exposing the Society’s investments to undue risk; it is consistent with the principles set out in the Charity Commission guidelines Investment of Charitable Funds, Basic Principles (CC14) and conforms with the Trustee Act 2000.

2. Residential property investments

As a safeguard against fluctuating performance of the stock exchange, the Society expanded its investments portfolio to include residential property and owns seven long lease residential properties (four in Central London and three in the Birmingham area), all of which are rented out. The rental derived is shown on the SOFA under ‘Investment Income’. The growth in the value of the Society’s residential property investment will be shown in the SOFA as Gains on investment assets. The primary long-term target of the Society’s residential property is to produce a yield of 4% pa and to provide an increase in capital value by at least the rate of inflation. The residential property investment is valued at the balance sheet date using the local estate agent’s guidance on the current housing market within the area where the properties are located.

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De Morgan House

Staff management

The Society currently employs a team of full and part time staff. These staff are predominantly based in De Morgan House, currently working three days a week there and two days a week from home. A list of staff in post during the period can be found in Annex 4.

The Executive Secretary (CEO) is responsible for staffrelated issues with strategic overview provided by the Society’s Personnel Committee.

The remuneration of all staff within the Society is considered in detail by Personnel Committee and set against the salary scales of the University of London. Any recommendations from the Personnel Committee regarding remuneration are then formally approved by the Trustees (the governing Council). The pay ranges for key management personnel (Senior Management Team) are determined and set by Trustees following analysis of roles and performance by the Personnel Committee. The Personnel Committee will also, as appropriate, compare the Society’s pay ranges with those of similar roles in other similar organisations.

De Morgan House

The Society holds a long lease (to 2109) from Bedford Estates on De Morgan House, 57-58 Russell Square, London, WC1. It uses these premises: (a) to house its administrative headquarters; (b) to hold its meetings and conferences in the promotion of mathematics; (c) to let out offices on the upper floors to other organisations on a commercial basis; and (d) for function rooms that it lets to other organisations for their own purposes. This last category includes other

mathematical and charitable organisations, where there is both a mathematical and financial benefit; discounts are available, and some rooms are offered at either reduced rates or at no charge as part of the Society’s charitable giving.

The Conference Centre has seen a continued increase in bookings throughout 2023-24, with an increased number of local schools in the Russell Square area using the venue as overflow classroom space. Three of the first-floor rooms of De Morgan House have been set up as classrooms for this purpose.

Office space remains available to rent commercially, with a new tenant taking a long lease on Suite 31 & 32 in December 2023. The Society now has five tenant spaces let, and a room sponsorship agreement with the IMA.

LMS Website

The Society’s website is a key part of its data management infrastructure. Using a Drupal Content Management System, underpinned by a CiviCRM database, the website is not only a channel for communicating the Society’s activities but is also a key interface between the Society, its members and the mathematical community more broadly. It enables prospective members and grant holders to submit applications, it allows current members to manage and pay for their membership online and it allows audiences to register for Society events. Use of the website for these key business processes requires careful management and innovative design to ensure that the functionality benefits the Society and its stakeholders while protecting their data.

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Statement of Trustees’ Responsibilities

The trustees are responsible for preparing the Trustees Report and the financial statements in accordance with applicable law and United Kingdom Accounting Standards (United Kingdom Generally Accepted Accounting Practice).

The law applicable to charities in England and Wales requires the trustees to prepare financial statements for each financial year which give a true and fair view of the state of the affairs of the charity and of the incoming resources and application of resources of the charity for that period. In preparing these financial statements, the trustees are required to:

The trustees are responsible for keeping proper accounting records that disclose with reasonable accuracy at any time the financial position of the charity and enable them to ensure that the financial statements comply with the Charities Act 2011, the Charity (Accounts and Reports) Regulations 2008 and the provisions of the Royal Charter. They are also responsible for safeguarding the assets of the charity and hence for taking reasonable steps for the prevention and detection of fraud and other irregularities.

For and on behalf of the Council of the London Mathematical Society:

Professor Jens Marklof (President)

18 October 2024

Date

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ANNEX 1: COUNCIL, EXECUTIVE TEAM AND PROFESSIONAL ADVISERS

Membership of Council during the period 1 August 2023 to 31 July 2024

President: Ulrike Tillmann (until November 2023) President: Jens Marklof (from November 2023) Vice-Presidents: Iain Gordon Catherine Hobbs Treasurer: Simon Salamon General Secretary: Robb McDonald Programme Secretary: Chris Parker Publications Secretary: Niall MacKay Education Secretary: Kevin Houston (until November 2023) Education Secretary: Mary McAlinden (from November 2023) Members-at-Large: Sara Lombardo (Women and Diversity) Peter Ashwin Andrew Brooke-Taylor (from November 2023) Elaine Crooks Andrew Dancer (until November 2023) Jessica Enright Minhyong Kim Jason Lotay Frank Neumann (until November 2023) Rachel Newton Gregory Sankaran (from November 2023) Anne Taormina Amanda Turner Sarah Whitehouse

Executive Management Team during the period 1 August 2023 to 31 July 2024

Executive Secretary (CEO): Simon Edwards Head of Finance and Accounting: Ephrem Abate Head of Society Business: Jennifer Gunn Head of Conferences and Buildings: Andrew Dorward Head of Academic Publications: Simon Buckmaster (from 15 August 2023)

External advisors

Auditor: Griffin Stone Moscrop & Co, 21-27 Lamb’s Conduit Street, London, WC1N 3GS Investment Advisers: Cazenove Capital (part of the Schroders group), 12 Moorgate, London, EC2R 6DA Bankers: NatWest Bank plc, 208 Piccadilly, London, W1J 9HE Solicitors: Bates Wells, 2-6 Cannon Street, London, EC4M 6YH

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Registered address

London Mathematical Society, De Morgan House, 57-58 Russell Square, London, WC1B 4HS https://www.lms.ac.uk

Charity registration number

252660

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ANNEX 2: COMMITTEE MEMBERSHIP (as at July 2024)

Membership of Committees as at 31 July 2024

Computer Science Committee: S. Zivny (Chair), P. Ashwin, A. Beckmann, S. Bhattacharya, L. Ciobanu Radomirovic, M. Cryan, O. Dardha, J. Davenport (Institute of Mathematics and its Applications (IMA)), B. Martin, A. Popescu (British Computer Society-Formal Aspects of Computing Science (BCS-FACS)).

Early Career Research Committee: J. Grbic (Chair), S. Beheshti, E. Crooks, , T. Kempton, A. Lecuona (ECR-CDWM Liaison) M. Ptashnyk, I. Short (Climate Working Group Rep), B. Singh, and EPSRC Observer.

Education Committee: Education Secretary (Chair), N. Barker, T. Crawford, C. Crisan, J. Enright (Council Rep), P. Glaister, Vice-President C. Hobbs, J-A Lees, M. McCartney, J. Parker (Heads of Departments of Mathematical Sciences (HoDoMS)), C. Saker.

Finance and General Purposes Committee: President (Chair), Vice-Presidents, General Secretary, Treasurer, Programme Secretary, Publications Secretary, Education Secretary, Executive Secretary.

International Affairs Committee: President (Chair), Publications Secretary, P. Glaister (IMA), D. Evans, J. Fraser (Edinburgh Mathematical Society (EdMS)), R. Norman (EdMS President), M. Mathieu, B. Nucinkis, J. Parker, S. Schroll.

Investment Sub-Committee: Treasurer (Chair), all other Members of Finance and General Purposes Committee, R. Bogni, J. Dodd, A. Harrington, J. Horn-Phathanothai, G. Keniston-Cooper.

Library Committee: LMS Librarian (Chair), LMS Archivist, Publications Secretary, I. Falconer, A. Rice, Tony Mann.

Newsletter Editorial Board: A. Vdovina (Editor-in-Chief), D. Chillingworth, J. Enright, Vice-President C. Hobbs, S. Huggett, T. Kempton, R. Laking, Publications Secretary N. McKay, General Secretary R. McDonald, S. Oakes, Y. Santos Rego, M. Whittaker, A. Wilson.

Nominating Committee: T. Brendle (Chair), K. Baur, N. Chamberlain, L. Ciobanu, V. Gould, P. Maini, H. Wilson, R. Newton (Council Representative).

Personnel Committee: Vice-President C. Hobbs (Chair), Publications Secretary, Executive Secretary, A. Belton, A. Taormina, P. Ashwin.

Prizes Committee: President (Chair), T. Brendle, T. Bridgeland, A. Caraiani, C. Ortner, F. Rindler, C. Stroppel, A. Teckentrup, P. Varju, D. Vella.

Publications Committee: Publications Secretary (Chair), Vice-President C. Hobbs, Treasurer, M. Brown, E. Crooks, H. Harrington, A. Lazarev, B. Löwe, N. O’Connor, C. Parker, O. Randal-Williams, S. White.

Research Grants Committee: A. Turner (Chair), H. Bui, S. Connor, I. Kyza, , F. Neumann, B. Nucinkis, N. Peyerimhoff, M. Ptashnyk, A. Dancer, M. Szymik, A. Majumdar, J. Martinez-Garcia, , T. Pryer (Bath Symposia Representative).

Research Policy Committee: Vice-President I. Gordon (Chair), P. Ashwin, D. Finkelshtein, S. Gutierrez, H. Krieger, T. Liverpool, A. Moro, D. Smith.

Society Lectures and Meetings Committee: J. Lotay (Chair), B. Nucinkis, G. Evans, M. Kambites, K. Leschke, N. Petrovskaya, M. Todd, V. Styles.

Committee for Women and Diversity in Mathematics: S Lombardo (Chair), L. Bandara, C. Garetto, Vice-President I. Gordon, L. Hakim, H. Haughton (IMA), H. Herrera (ORS), T. Kelly, A. Lecuona (EdMS), L. Rila, K. Severn (RSS), M. Sommacal.

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Sub-Groups, Ad-hoc Committees and LMS appointments as at 31 July 2024

Publications Nominating Group: Publications Secretary (Chair), T. Browning (Managing Editor, PLMS), M. Hairer, J. Maynard (Managing Editor, JLMS), A. Lazarev (Managing Editor, BLMS), O. Randal-Williams (Publications Committee), J. L. Rodrigo (Managing Editor, TLMS), R. Sharp.

Education sub-Committee (Teaching Mathematics as a Career): J. White (Chair), Education Secretary, K. Golden, G. Laing (IMA), D. Lloyd (AMET and MMSA), C. Saker.

Atiyah Fellowship Panel: Caroline Series (Chair), Minhyong Kim, Edriss Titi (Cambridge), Jihad Touma (Director, Centre for Advanced Mathematical Sciences (CAMS), American University of Beirut), Fida El Chami (Lebanese University), Bassam Shayya (American University of Beirut).

Good Practice Scheme Steering Group: A. Best (Joint Chair), C. Smith (Joint Chair), V. Fischer, Vice President I. Gordon, A. Hazel, A-S Kaloghiros, M. Kibble (INI), S. Lombardo (Chair, Committee for Women and Diversity in Mathematics).

LMS–IMA Zeeman Medal Committee 2024 (LMS Members): President, S. Singh, M. Kim.

Mentoring African Research in Mathematics (MARM) Board: F. Neumann, A-S Kalaghiros, T. Liverpool, A. Madzvamuse, M. Roberts, B. Szendroi.

Undergraduate Summer School Scientific Committee: A. Hone, F. Kirwan, A. Veselov.

Council Diarist: various Council members.

LMS/EMS Newsletter Correspondent: D. Chillingworth.

Election Scrutineers: C. Goldie and C. Chu.

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ANNEX 3: EXTERNAL REPRESENTATIVES (as at July 2024)

Representatives on external committees and boards as at 31 July 2024

Athena Forum: Chair, Committee for Women and Diversity in Mathematics.

British Science Association Mathematics Section: Education Secretary.

British Mathematical Colloquium Scientific Committee: J. Lotay, J. Martinez-Garcia.

Council for the Mathematical Sciences Board: President, Vice-President C. Hobbs, Vice-President I. Gordon, Executive Secretary (any 3 of).

Council for the Mathematical Sciences-Engineering and Physical Sciences Research Council (CMS-EPSRC) Liaison Sub-Group: Vice-President C. Hobbs, Vice-President I. Gordon, Executive Secretary (any 2 of).

European Mathematical Society (EMS) Council: J. Lotay, F. Neumann, U. Tillmann, Executive Secretary.

Heads of Departments of Mathematical Sciences Committee: J. Parker.

International Centre for Mathematical Sciences (ICMS) Board: S. Rees.

International Centre for Mathematical Sciences (ICMS) Programme Committee: C. Drutu, J. Gog.

International Commission on Mathematical Instruction (ICMI) UK representative: P. Glaister.

Joint Mathematical Council (JMC): Education Secretary.

Parliamentary and Scientific Committee: President, Vice-President I. Gordon, Vice-President C. Hobbs, Executive Secretary.

Teaching Training Scholarships Management Group: Education Secretary.

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ANNEX 4: STAFF

Staff in post in the period 1 August 2023 to 31 July 2024

Executive Secretary’s Office

Executive Secretary (CEO): Simon Edwards PA to the Executive Secretary: Clare Ralphs Head of Finance and Accounting: Ephrem Abate Accounts Assistant: Valeriya Kolesnykova Administrative Editor, LMS Newsletter: Susan Oakes (to 31 July 2024)

Publications

Head of Academic Publications: Publisher: Publications Assistant:

Simon Buckmaster Ola Törnkvist Anna Agathopoulou

Society Business

Head of Society Business: Membership and Grants Manager: Committee, Grants & Membership Manager: Communications & Policy Manager: Events Co-ordinator: Grants Administrator: Governance Officer

Jennifer Gunn Elizabeth Fisher (on maternity leave from March 2024)

Nicola Goldie (from February 2024 covering maternity leave Katherine Wright Kieran O’Connor Lucy Covington Lesley Campbell

Conferences and Building Group

Head of Conferences and Buildings: Andrew Dorward

33

ANNEX 5: GRANT SCHEMES

General policy on grant-making

The grant schemes are funded from the Society’s resources received from its endowments, investments and publishing activities and are one of the primary mechanisms through which the Society achieves its central purpose, namely to promote and extend mathematical knowledge. The principles governing its grant-giving are:

The Society’s committees that assess applications for grants are made up of mathematicians with a wide spread of research interests. Under most schemes, proposals are judged by the committees themselves, although they may seek advice. Each committee judges each application on its merits.

Any mathematician working in the UK is eligible to apply for a grant but, for some schemes, if they are not a member of the Society, then the application must be countersigned by a member who is prepared to support the application.

34

Summary of main grants and training schemes

Conference Grants (Scheme 1)

Grants are made to the organisers of conferences to be held in the UK. Priority is given to the support of meetings where an LMS grant can be expected to make a significant contribution to the viability and success of the meeting. Support of larger meetings of high quality is not ruled out, but for such meetings an LMS grant will normally cover only a modest part of the total cost. (As of 01 August 2024, this Scheme will be merged with Scheme 6 Workshop Grants to become Conference and Workshop Grants (Scheme 1).

Visitors to the UK (Scheme 2)

The aim of the Scheme is to provide grants to mathematicians based within the UK to partially support visitors to the UK; the visitors are expected to give lectures in at least three separate institutions.

Support of Joint Research Groups (Scheme 3)

The Scheme is to provide support for groups of mathematicians, working in at least three different locations (of which at least two must be in the UK), who have a common research interest and who wish to engage in collaborative activities. The grant award covers two years and is expected that a maximum of four meetings (or an equivalent level of activity) will be held per academic year.

Research in Pairs (Scheme 4)

The Scheme is to provide small grants to UK-based mathematicians to help support short visits of intensive collaborative research with colleagues in other institutions, both in the UK and abroad.

Research Reboot (Scheme 4)

This scheme is to help restart research activity. It offers funding for the applicant to leave their usual environment to focus entirely on research for a period from two days to a week, in order to restart their research activity, if they have been prevented from doing so by the adverse conditions.

Collaborations with Developing Countries (Scheme 5)

The Scheme is to provide grants to mathematicians within the UK to support visits for collaborative research, or academic activities that will benefit the country concerned. Countries considered to be eligible for Scheme 5 funding are those contained within (but not exclusively limited to) the International Mathematical Union Commission for - Developing Countries (IMU CDC) Definition for Developing Countries: https://www.mathunion.org/cdc/about cdc/ definition-developing-countries

Workshop Grants (Scheme 6)

The Society supports research workshops, which may be held anywhere in the UK and are an opportunity for a small group of active researchers to work together for a concentrated period on a specialised topic. Applications to support the development of research in an area not ready for a larger-scale application are welcomed; applications for partial support for larger events will only exceptionally be supported. (As of 1 August 2024 this Grant Scheme will be merged with the Scheme 1 Conference Grant. Scheme 6 will be withdrawn).

Computer Science Small Grants (Scheme 7)

The aim of the Scheme is to provide small grants to researchers based within the UK to help support visits for collaborative research at the interface of Mathematics and Computer Science.

Caring Supplementary Grants

The Society recognises that parents and carers are sometimes prevented from attending conferences and meetings and making research visits because there is no provision for the extra costs incurred in caring for dependants. It is the LMS’ view that institutions should make provision for caring costs but, while this is not largely the case, the Society is willing to make a supplementary grant as a contribution to the costs.

35

Grace Chisholm Young Fellowship

This fellowship aims to provide some support when a mathematical career is interrupted by family responsibilities, relocation of partner, or other similar circumstance, making possible some continuous mathematical activity and so enabling the fellow to be in a position to apply for posts when circumstances allow. The holder will be based in a specific Mathematics Department in a University or Research Institute in the UK; the host is expected to provide an email address, use of library and IT facilities and access to research literature. The normal duration of the fellowship is one year.

Emmy Noether Fellowships

These Fellowships are designed to enhance the mathematical sciences research, broadly construed, of holders, either re-establishing their research programme after returning from a major break associated with caring responsibilities or those requiring support to maintain their research programme while dealing with significant ongoing caring responsibilities.

Small Education Grants

These grants support such activities as popular lectures, exhibitions, masterclasses, mathematical competitions, etc., that help to encourage joint mathematical ventures between higher education institutions and schools, or the development of projects that would improve the public image of mathematics.

Mathematics Education Conference Grants

This scheme offers funding to organisers of regular mathematics education conferences and is intended to contribute to the travel/subsistence expenses of attendees of the event in question.

Mentoring African Research in Mathematics (MARM)

The aim of the programme is to enable all mathematicians in Africa to pursue academic careers of the highest standard. The Society believes that enhancing and developing academic research and research institutions in Africa will help ensure that pursuing world-class mathematical careers within Africa will be both achievable and a more attractive option than moving permanently to the developed world. Over time, the strengthening of the mathematical community within Africa will benefit not only the African community but mathematics as a whole. Grants are awarded for two-year academic partnerships between European and African institutions for activities including exchange visits, lectures and workshops, conferences, PhD supervision and mentoring support.

Support for Mathematics in Africa

The Society awards grants to support mathematical activities in Africa with the Mathematics in Africa Grant Scheme.

Atiyah UK–Lebanon Fellowships

This scheme was set up in memory of Sir Michael Atiyah (1929-2019) and operated in partnership with the Centre for Advanced Mathematical Sciences at the American University of Beirut. It provides for an established UK based mathematician to visit the Lebanon as an Atiyah Fellow for a period of between one week up to 6 months, or alternatively for a mathematician from the Lebanon of any level, in particular promising advanced level students from the AUB, to visit the UK to further their study or research for a period of up to 12 months.

Solidarity Grant Programme

This programme is designed for the purpose of giving refuge to researchers in the mathematical sciences who have had to leave their country of residence. The aim is not only to offer participants a safe home but also to enable them to continue their work and start new scientific collaborations in the UK. Participants can be hosted for up to 12 months in the UK whilst on the programme. The programme is administered by the Issac Newton Institute with support from the Society.

36

Summary of grants and training schemes supporting Young Mathematicians and Early Career Researchers

Undergraduate Research Bursaries in Mathematics

The Scheme aims to give training in research to undergraduates with research potential to encourage them to consider a career in scientific research. Grants are awarded for a six-to-eight week summer research project undertaken with the guidance of a research supervisor. The Undergraduate Research Bursaries are often supported by funding from HIMR.

Undergraduate Summer Schools

The goal of the Summer Schools is to introduce exceptional pre-final year undergraduates to research mathematics and, in particular, to make them think seriously about an academic career at this stage. The Summer Schools are a combination of short lecture courses with problem-solving sessions and colloquium style talks. Talks are given by lecturers mostly (though not exclusively) from the UK, including high-profile speakers. The Schools are for around 50 students and involve 10 lecturers. The event is hosted by a UK university for a period of 10 days in summer.

LMS Research Schools Programme

The purpose of the Research Schools, including Research Schools on Knowledge Exchange, is to provide training for young researchers in a core area of mathematics. Students and post-docs can meet a number of leading experts in the topic as well as other young researchers working in related areas. The series aims at the highest international standing of these research schools, allowing for support of both international lecturers and participants. The main criteria for funding are the topicality and the mathematical significance of the course material, the general alignment with the mission of the LMS and the likely demand for places nationally and internationally, and the standing of the proposed lecturers in the international mathematical community. The Research Schools are often supported by funding from HIMR.

Cecil King Travel Scholarship

The London Mathematical Society administers two £6,000 travel awards funded by the Cecil King Memorial Foundation for early career mathematicians, to support a period of study or research abroad, typically for a period of three months. One Scholarship will be awarded to a mathematician in any area of mathematics and one to a mathematician whose research is applied in a discipline other than mathematics.

Postgraduate Research Conferences (Scheme 8)

The aim of this Scheme is to support postgraduate research conferences, organised by and for postgraduate research students, to be held in the UK.

Early Career Researchers in Mathematics Conference (formerly Young Researchers in Mathematics Conference)

The Society provides a grant for the Early Career Researchers in Mathematics Committee to help support the Early Career Researchers in Mathematics Conference; a mathematics conference specifically targeting early career researchers.

LMS Early Career Fellowships

To support early career mathematicians in the transition between PhD and a postdoctoral position, the London Mathematical Society offers up to 8 Fellowships of between 3 and 6 months to mathematicians who have recently or will shortly receive their PhD. In 2023-24, the award was calculated at £1,552 per month plus a travel allowance. The fellowships may be held at one or more institutions but not normally at the institution where the fellow received their PhD. The Early Career Fellowships are often supported by funding from HIMR/EPSRC/UKRI.

Celebrating New Appointments (Scheme 9)

Grants are made to provide partial support for meetings held in the UK to celebrate the appointment of a new lecturer in mathematics at a UK institution. The aim of the grant award is to embed the new lecturer in their home institution and the local mathematical community, and to allow the new appointment to create useful and lasting relationships with the local mathematical community. It is expected that the new appointment themselves will present a lecture at the meeting.

Travel Grants for Early Career Researchers

The Travel Grant Scheme provides partial support for UK-based early career researchers to attend conferences or undertake research visits either in the UK or overseas. Grant holders are early career researchers in mathematics, based in the UK, defined as a PhD/research student or anyone who has completed their PhD in the last five years (excluding academic career breaks). The scheme is open to both members and non-members of the LMS.

37

Women and Non-Binary People in Mathematics Events

These events are aimed at academic mathematicians (from at least postgraduate level and up and may include undergraduates). The events are intended to help early career women and non-binary mathematicians when considering the next stages in their careers and typically have included mathematical talks combined with panel discussions, social opportunities and networking. Individuals or groups are able to express interest in organising and hosting an event.

Girls in Mathematics Events

Events are aimed at schoolgirls, up to and including A-levels or equivalent, with mathematics as a main focus. Individuals or groups are able to express interest in organising and hosting an event.

Diversity in Mathematics Events

Diversity in Mathematics Days support aspects of diversity beyond gender. The events are expected to focus on some aspect of diversity in the Mathematical Sciences. One of the events is expected to feature both the work of people in the Mathematical Sciences, whether in industry or academia, who come from that diversity group, and also offer opportunities for mathematicians from that diversity group to receive mentoring and networking opportunities.

38

ANNEX 6: GENERAL AND RESERVE FUNDS

For the purposes of financial planning the Society has chosen to define Relevant Funds to consist of Quoted Investments + Residential Properties + Cash at bank. The Society’s target returns on its investment portfolio of CPI + 4% in the long-term, in order to guarantee its value in real terms. Council considers income from the Relevant Funds is to provide financial stability to the Society so it can make effective long-term plans and cover some of the administration costs. Council will set budgets on the assumption that the income level of the Relevant Funds grows by a rate that meets or exceeds inflation. At present, all three elements of the Relevant Funds are performing well.

General Fund

This provides for the general operation of the Society including its charitable activities not funded from Designated or Restricted Funds. Within the Society’s reserves, the General Fund is deemed an expendable reserve to be used in pursuit of the Society’s objectives as Council may from time to time determine. At present the fund exists to assure the availability of resources for the Society’s grant schemes and other continuing charitable activities in future years. This manages the risk to the Society’s ability to generate income to provide for such activities and offers a contingency against threats such as open access.

The Society maintains up to £1m free reserve as cash at bank to ensure that there is enough operating capital to stabilise the Society’s finances. It provides contingency against unexpected events, as well as allowing the Society to deal with losses in income and large unbudgeted expenses.

General Fund £16,459,778

Building and Development Reserve Fund

This reserve, originally built up for the Society to purchase or rent its own property was utilised in part in the purchase of a leasehold property. This reserve fund exists to maintain the property in a state of good repair as required by the Lease holder, including in the case of disaster recovery should any major incident affect the physical aspects of the Society’s offices. This fund is both to guarantee continuity in the provision of programs and services, and to protect the value of hard-won net assets. Also to cover the costs of re-establishing our work should De Morgan House (DMH) to be lost through unforeseen circumstances (i.e. Room hire for in-person staff meeting if home working is implemented for one year (b) venue hire for in-person meetings, for example, Council/ special Cttee if any (considering most of the meetings are online; (c) dilapidations, were the Society to leave DMH. The agreed purposes and recommended levels as from the next financial year will be:

levels as from the next financial year will be:
Costs of re-establishing Society’s work should De Morgan House (DMH) to be lost through
unforeseen circumstances etc, (i.e. Room hire for in-person staff meetings,etc)		 £35,000
Furniture and fittings return to DMH followinga disaster created byunforeseen circumstances £35,000
Dilapidations,were the Societyto leave DMH £100,000
External and Internal redecoration £80,000
Building upkeep (Major modifications and developments, unexpected repairs/replacement) (See
annex A above)		 £700,000
£950,000

Publication Reserve Fund

This fund is to provide a reserve to meet the costs of producing and publishing the Society’s LMS journals, including where the Society’s income from these journals is unable to cover such commitments. It is intended that the reserve will be reviewed as circumstances arise each year. The agreed purposes and recommended levels are:

be reviewed as circumstances arise each year. The agreed purposes and recommended levels are:
Financial liabilitytopublishingand society partners. £1,400,000
Multi-year transition to a sustainable open access business model forjournals. £175,000

39

Outreach and engagement at international events. £100,000
Strategic development fund £100,000
Development or replacement ofpublishingsystems £100,000
Legal and consultancyfees £100,000
£3,400,000

Global Engagement Fund

This fund has been set aside to allow the Society to develop and fund activities to support its global ambitions in line with the updated strategic direction. The fund will allow the Society to support relationships and programmes in line with the Society’s objectives to promote and extend mathematical knowledge. The fund will initially operate for the next five years but will be reviewed annually as the global aspects of the strategy are implemented.

Funds to develop the Society’s global ambitions in line with the updated strategy and strategic objectives £98,600

Funds to develop the Society’s updated strategy and strategic objectives

This fund is set aside to allow the Society to develop and fund activities to embed the updated strategy. The fund will ensure the Society can look beyond current ways of working to change and make a difference over the next five years. It is intended that the reserve will be reviewed as circumstances arise each year.

Funds available to develop the Society’s updated strategy and strategic objectives £350,000

Restricted Funds

Restricted Funds
Prizes Fund(for Berwick/De Morgan/Lord Rayleigh’s/Fröhlich/Shephardsprizes) £220,593
A.J. Cunningham Research Fund(forpublication of work on the factorisation of large numbers £114,287
Zeeman Fund(for Undergraduate Research Bursaries named in honour of Prof. Sir Christopher Zeeman £231
Frank Gerrish Fund(forpromotion of expositoryarticles and surveys within the Society'spublications £25,264
Emmy Noether Fellowship Fund (for those re-establishing their research after a break or ongoing
caringresponsibilities		 £39,157
LevellingUpScheme Fund(for tutorial of A-level maths students from under-represented backgrounds) £10,555
Campaign for Pure Mathematics Fund(for campaigningtoprotect andpromotepure mathematics) £126,248
SolidarityGrant Fund(for mathematicians who are fleeingtheir countries) £180,483
£716,818

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ANNEX 7: AUDITOR’S REPORT

Opinion

We have audited the financial statements of London Mathematical Society (the ‘charity’) for the year ended 31 July 2024 which comprise the Statement of Financial Activities, the Balance Sheet, the Cash Flow Statement and notes to the financial statements, including significant accounting policies. The financial reporting framework that has been applied in their preparation is applicable law and United Kingdom Accounting Standards, including Financial Reporting Standard 102 The Financial Reporting Standard applicable in the UK and Republic of Ireland (United Kingdom Generally Accepted Accounting Practice).

In our opinion the financial statements:

Basis for opinion

We conducted our audit in accordance with International Standards on Auditing (UK) (ISAs (UK)) and applicable law. Our responsibilities under those standards are further described in the auditor responsibilities for the audit of the financial statements section of our report. We are independent of the charity in accordance with the ethical requirements that are relevant to our audit of the financial statements in the UK, including the FRC’s Ethical Standard, and we have fulfilled our other ethical responsibilities in accordance with these requirements. We believe that the audit evidence we have obtained is sufficient and appropriate to provide a basis for our opinion.

Conclusions relating to going concern

In auditing the financial statements, we have concluded that the trustees’ use of the going concern basis of accounting in the preparation of the financial statements is appropriate.

Based on the work we have performed, we have not identified any material uncertainties relating to events or conditions that, individually or collectively, may cast significant doubt on the charity’s ability to continue as a going concern for a period of at least twelve months from when the financial statements are authorised for issue.

Our responsibilities and the responsibilities of the trustees with respect to going concern are described in the relevant sections of this report.

Other information

The other information comprises the information included in the trustees’ annual report, other than the financial statements and our auditor’s report thereon. The trustees are responsible for the other information. Our opinion on the financial statements does not cover the other information and, except to the extent otherwise explicitly stated in our report, we do not express any form of assurance conclusion thereon.

Our responsibility is to read the other information and, in doing so, consider whether the other information is materially inconsistent with the financial statements, or our knowledge obtained in the course of the audit or otherwise appears to be materially misstated. If we identify such material inconsistencies or apparent material misstatements, we are required to determine whether this gives rise to a material misstatement in the financial statements themselves. If, based on the work we have performed, we conclude that there is a material misstatement of this other information, we are required to report that fact.

We have nothing to report in this regard.

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Matters on which we are required to report by exception

We have nothing to report in respect of the following matters in relation to which the Charities Act 2011 requires us to report to you if, in our opinion:

Responsibilities of trustees

As explained more fully in the trustees’ responsibilities statement, the trustees are responsible for the preparation of the financial statements and for being satisfied that they give a true and fair view, and for such internal control as the trustees determine is necessary to enable the preparation of financial statements that are free from material misstatement, whether due to fraud or error.

In preparing the financial statements, the trustees are responsible for assessing the charity’s ability to continue as a going concern, disclosing, as applicable, matters related to going concern and using the going concern basis of accounting unless the trustees either intend to liquidate the charity or to cease operations, or have no realistic alternative but to do so.

Auditor’s responsibilities for the audit of the financial statements

We have been appointed as auditor under section 144 of the Charities Act 2011 and report in accordance with the Act and relevant regulations made or having effect thereunder.

Our objectives are to obtain reasonable assurance about whether the financial statements as a whole are free from material misstatement, whether due to fraud or error, and to issue an auditor’s report that includes our opinion. Reasonable assurance is a high level of assurance but is not a guarantee that an audit conducted in accordance with ISAs (UK) will always detect a material misstatement when it exists. Misstatements can arise from fraud or error and are considered material if, individually or in the aggregate, they could reasonably be expected to influence the economic decisions of users taken on the basis of these financial statements.

Irregularities, including fraud, are instances of non-compliance with laws and regulations. We design procedures in line with our responsibilities, outlined above, to detect material misstatements in respect of irregularities, including fraud. The extent to which our procedures are capable of detecting irregularities, including fraud is detailed below:

Because of the inherent limitations of an audit, there is a risk that we will not detect all irregularities, including those leading to a material misstatement in the financial statements or non-compliance with regulation. This risk increases the more that compliance with a law or regulation is removed from the events and transactions reflected in the financial statements, as we will be less likely to become aware of instances of non-compliance. The risk is also greater regarding irregularities occurring due to fraud rather than error, as fraud involves intentional concealment, forgery, collusion, omission or misrepresentation.

A further description of our responsibilities is available on the FRC’s website at: https://www.frc.org.uk/auditors/auditassurance/auditor-s-responsibilities-for-the-audit-of-the-fi/description-of-the-auditor%E2%80%99s-responsibilitiesfor. This description forms part of our auditor’s report.

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Use of our report

This report is made solely to the charity’s trustees, as a body, in accordance with Chapter 3 of Part 8 of the Charities Act 2011. Our audit work has been undertaken so that we might state to the charity’s trustees those matters we are required to state to them in an auditor’s report and for no other purpose. To the fullest extent permitted by law, we do not accept or assume responsibility to anyone other than the charity and the charity’s trustees as a body, for our audit work, for this report, or for the opinions we have formed.

......................................................................................

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Date .....................................................................
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Robert Smith (Senior Statutory Auditor) For and on behalf of Griffin Stone Moscrop & Co Chartered Accountants & Statutory Auditor 21-27 Lamb’s Conduit Street London WC1N 3GS

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ANNEX 8: STATEMENT OF FINANCIAL ACTIVITIES

Page
45 Statement of financial activities
46 Balance sheet
47 Cash flow statement
48 Accounting policies
52 Investment income
53 Income from other tradingactivities
53 Costs of raisingfunds
53 Charitable activities: Advancingthe interests of mathematics
54 Charitable activities: Enablingmathematicians to undertake research and collaboration
55 Charitable activities: Disseminatingmathematical knowledge – Publications
56 Charitable activities: Disseminatingmathematical knowledge – Conference and meeting programmes
56 Charitable activities: Promotingmathematical research and its benefits
57 Governance and other committees’ costs
57 Analysis ofgeneral support andgovernance costs
58 Allocation of support andgovernance costs byactivity
59 Employment costs
60 Pension costs
61 Fixed asset investments
61 Gains and losses on investment assets
62 Tangible fixed assets
62 Debtors
62 Creditors and deferred income
63 Restricted funds
64 Unrestricted funds
65 Analysis of net assets between funds
65 Grants and contracts management account
65 Transactions with Trustees and connectedpersons
66 Comparison figures of each fund(2019/20 financial statements)

44

STATEMENT OF FINANCIAL ACTIVITIES

For the year ended 31st July 2024

Income and endowments:
Notes
Donations and legacies
Income from charitable activities:
Membership subscriptions
Publications – LMS Periodicals
7a
Publications – Ventures and Royalties
7c,d
Grants and contracts
23
Total income from charitable activities
Income from other trading activities
3
Income from Investments
2
Other income		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
6,976
-
617,057
164,697
-
-
866,854
-
1,235
312,513
296,450
-
96,643
-
69,000
1,440,707
296,450
70,235
355,710
-
-
681,860
-
12,583
206
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
6,976
-
617,057
164,697
-
-
866,854
-
1,235
312,513
296,450
-
96,643
-
69,000
1,440,707
296,450
70,235
355,710
-
-
681,860
-
12,583
206
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
6,976
-
617,057
164,697
-
-
866,854
-
1,235
312,513
296,450
-
96,643
-
69,000
1,440,707
296,450
70,235
355,710
-
-
681,860
-
12,583
206
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
6,976
-
617,057
164,697
-
-
866,854
-
1,235
312,513
296,450
-
96,643
-
69,000
1,440,707
296,450
70,235
355,710
-
-
681,860
-
12,583
206
-
-		 2024
Total
Funds
£
624,033
164,697
868,089
608,963
165,643
1,807,392
355,710
694,443
206		 2024
Total
Funds
£
624,033
164,697
868,089
608,963
165,643
1,807,392
355,710
694,443
206
Total Income 2,485,459 296,450 699,875 3,481,784 3,138,859
Expenditure:
Costs of raising funds
4
Expenditure on charitable activities:
Advancing the interests of mathematics
Enabling mathematicians to undertake researc
and collaboration
5
6
Disseminating mathematical knowledge:
-Costs of publications
7b,c,d
-Conferences and meeting programmes
8
Promoting mathematical research and its
9
benefits
Total expenditure on charitable activities		 382,608
316,491
772,353
365,464
175,249
344,213
1,973,770		 -
-
8,400
193,398
-
-
201,798		 -
6,000
212,765
2,470
-
400,731
621,966
Total expenditure 2,356,378 201,798 621,966 3,180,142
pension schemes
Net income before gains and losses on
investment
Net gains/(losses) on investment assets
16
Net Income for the year
Transfers between funds
20,21
Actuarial gain/(loss) on defined benefit
14,19		 129,081
1,120,303
1,249,384
(938,783)
498,841		 94,652
-
94,652
946,948
-		 77,909
16,029
93,938
(8,165)
-		 301,642
1,136,332
1,437,974
-
498,841
Net movement in funds for the year 809,442
1,041,600		 85,773 1,936,815
Reconciliation of funds:
Total funds brought forward
1		 5,650,336 3,757,000
Fund balances carried forward
1		 6,459,778 4,798,600

The comparative figures for each fund are shown in the notes to the accounts, (see note 25).

45

BALANCE SHEET

as at 31st July 2024

2024 2023
Notes £
£		 £ £
Fixed Assets
Fixed Asset Investments
Quoted Investment 15a 14,302,938 13,440,223
Residential Property 15b 4,144,450 3,938,750
18,447,388 17,378,973
Tangible Fixed Assets
Leasehold Property 17 1,030,800 1,075,618
Fixtures, Fittings and Equipment 17 32,358 30,881
1,063,158 1,106,499
19,510,546 18,485,472
Current Assets
Debtors 18 212,713 179,768
Cash at bank and in hand 1,217,848 1,231,354
Bank Deposits 1,866,877 1,310,811
3,297,438 2,721,933
Liabilities:
Creditors: Amounts falling due within one year
Creditors 19 (832,788) (670,183)
Net current assets 2,464,650 2,051,750
Creditors: Amounts falling due after more than one year
Provision of Pension Liability 19 - (498,841)
Total Net Assets 21,975,196 20,038,381
Represented by:
General Funds 21 16,459,778 15,650,336
Designated Funds 21 4,798,600 3,757,000
Restricted Funds 20 716,818 631,045
21,975,196 20,038,381

The notes on pages 48-66 form part of these financial statements.

Approved by the trustees on 18 October 2024 and signed on their behalf by:

-------------------------------------------Professor Simon Salamon (Treasurer)

46

Cash Flow Statement

For the year ended 31 July 2024

2024 2023
£
£		 £
£
Cash flow from operating activities
Net movements in funds 1,936,815 334,877
Add / (Deduct) gains/(losses) on investments (note 16) (1,136,332) 16,990
Add back re-invested gains (note 2) 102,551 109,865
Add back investment management fees (note 4) 65,171 80,758
Add back VAT on investment management fees 2,747 3,399
Deduct investment income (note 2) (694,443) (630,972)
Add back depreciation charge (note 17) 62,491 59,136
Decrease / (Increase) in debtors (note 18) (32,945) 61,607
(Decrease)/increase in creditors (note 19) (336,236) (120,179)
Net cash provided by operating activities (30,181) (84,519)
Cash flow from Investing activities
Purchase of tangible fixed assets (note 17) (19,150) (8,186)
Purchase of fixed asset investments (note 15) (6,606,950) (117,288)
Proceeds on disposal of fixed assets investments (note 15) 6,504,526 16,214
Investment income (note 2) 694,443 630,972
Net cash provided by investing activities 572,869 521,712
Change in cash and cash equivalent in the year 542,688 437,193
Cash and cash equivalent at the beginning of the year
Cash in bank and deposit 2,542,165 2,113,763
Cash held in investments 9,092 301
2,551,257 2,114,064
Cash and cash equivalent at the end of the year
Cash in bank and deposit 3,084,725 2,542,165
Cash held in investments 9,220 9,092
3,093,945 2,551,257

47

NOTES TO THE FINANCIAL STATEMENTS For the year ended 31st July 2024

1. Accounting Policies

The accounting policies adopted by the Society are as detailed below:

The financial statements have been prepared in accordance with Accounting and Reporting by Charities: Statement of Recommended Practice (SORP) applicable to charities preparing their accounts in accordance with the Financial Reporting Standard applicable in the UK and Republic of Ireland (FRS 102) (effective 1 January 2015) and the Charities Act 2011.

The London Mathematical Society meets the definition of a public benefit entity under FRS 102. Assets and liabilities are initially recognised at historical cost or transaction value unless otherwise stated in the relevant accounting policy note(s).

The trustees have assessed whether the use of going concern basis is appropriate and have considered possible conditions that might cast significant doubt on the ability of the Society to continue as a going concern. The trustees have made this assessment for a period of at least one year from the date of approval of the financial statements. In particular, the trustees have considered the expected decline in the Society’s income from its publishing activities and the continued challenges for the conference business.

The Society is set to lose a significant part of its income from its publications activities. However, the Society has in place plans to increase the number of articles published in the Bulletin and Journal which will help mitigate some of the decline in subscription income. Council is actively exploring other sources of income. Pending the development of additional income streams, Council has reviewed all the Society’s activities in order to identify savings.

The conference income is returning to near pre-pandemic levels, but the type of bookings has changed as well as the expectations of clients for conferences so competition for business is much harder. The Society has invested in technology to allow hybrid meetings as well as more flexibility using the meeting space available for different types of events. Council has monitored the return of the conference business and receives regular updates.

On this basis, and the level of reserves held, the trustees consider that the Society has adequate resources to continue in operational existence for the foreseeable future. The Society therefore continues to adopt the going concern basis in preparing its financial statements.

The financial statements are prepared in sterling, which is the functional currency of the company. Monetary amounts in these financial statements are rounded to the nearest pound.

b) Judgements and key sources of estimation uncertainty

In the application of the Society’s accounting policies, the trustees are required to make judgement, estimates and assumptions about the carrying amount of assets and liabilities that are not readily apparent from other sources. The estimates and associated assumptions are based on historical experience and other factors that are considered to be relevant. Actual results may differ from the estimates.

The estimates and underlying assumptions are reviewed on an ongoing basis. Revisions to accounting estimates are recognised in the period in which the estimate is revised where the revision affects only that period, or in the period of the revision and future periods where the revision affects both current and future periods.

The most significant estimates and assumptions which affect the carrying amount of assets and liabilities in the accounts relate to:

48

For the year ended 31st July 2024

NOTES TO THE FINANCIAL STATEMENTS

1. Accounting Policies (continued)

c) Financial Instruments

The Society has elected to apply the provision of Section 11 ‘Basic Financial Instrument’s and Section 12 ‘Other Financial Instruments Issues’ of FRS 102 to all of its financial instruments. Financial Instruments are recognised in the Society’s balance sheet when the Society becomes party to the contractual provisions of the instrument. Financial assets and liabilities are offset, with the net amounts presented in the financial statements, when there is a legally enforceable right to set off the recognised amounts and there is an intention to settle on a net basis or to realise the asset and settle the liability simultaneously.

With the exceptions of prepayments and deferred income all other debtor and creditor balances are considered to be basic financial instruments under FRS 102. (See notes 18 and 19 for details)

d) Members’ Subscriptions

Subscription income from members is recognised in the year to which it relates. During the year new members are allowed to pay pro-rata subscription fees depending on when they are elected during the membership year.

e) Donations

Cash donations are credited to the General Fund in the year of receipt but donations in kind are not recognised in these financial statements.

f) Investments

• Quoted investments

All quoted investments are valued at their market value at the balance sheet date, giving rise to unrealised gains and losses which are included in the Statement of Financial Activities. The market value is determined as follows:

The Society in its total returns policy treats all cash withdrawals from the investment portfolio as investment income. This is analysed in the notes to the financial statements as investment income split between the various categories of investment based on information provided by the investment managers and the proportion of total return drawn down relating to gains. The balance of unrealised gains and losses on revaluation of investments and realised gains and losses arising on disposal of investments are separately identified in the notes to the Financial Statements and on the SoFA.

• Residential property investment

The rental derived is shown on the SoFA under ‘Investment Income’. The growth in the value of the Society’s residential property investment will be shown in the SoFA as Gains on investment assets. The residential property investment is valued at balance sheet date using the local estate agent’s guidance on the current housing market within the area where the properties are located.

g) Fixed Assets

Depreciation is provided on all tangible fixed assets at rates calculated to write off, on a straight-line basis, the cost less estimated residual value over their expected useful lives as follows:

Leasehold Property Over 50 years
Fixtures, Fittings and Office Equipment 20%
Computer equipment 33.33%

The Society operates a policy of capitalising assets whose unit cost exceeds £1,000, with expenditure below this level written off as incurred.

h) Taxation

The Society is a registered charity and no liability to taxation arises on the results of its business activities in support of its charitable purposes.

The Society has partial exempt status in respect of VAT, based on the split of its business and non-business activities. The proportion of VAT that cannot be recovered because of partial or fully exempt status of the activity is redistributed to the activities. The basis on which irrecoverable VAT have been allocated to the activities are set out in note 12.

i) Foreign currencies

Monetary assets and liabilities denominated in foreign currencies are translated at the rate of exchange ruling at the Balance Sheet date. Transactions in foreign currencies are recorded at the rate ruling at the date of the transaction. All differences are taken to the Statement of Financial Activities.

49

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

1. Accounting Policies (continued)

J) Publications

vi) Royalties are taken into the Statement of Financial Activities as declared due by the relevant publishers.

k) Joint Ventures

The results of joint ventures are included in the accounts up to the year- end indicated.

l) Grants and Contracts

The Society has been awarded contracts and grants for some of its activities. These comprise: a contribution from IMU to support mentoring activities for mathematicians in Africa; shared costs of some activities with other societies and institutions. The income and expenditure relating these are handled through this Fund.

Where the Society has contractual or constructive obligations to make grant payments these amounts are accrued in the accounts in accordance with the requirements of the SORP. The liability will be recognised within the year the grant is awarded. The unpaid grant commitments should normally be claimed by the end of the following financial year. However, the claim period may need to be extended for a further year (award year + 2) if the grant cannot be claimed by the end of the year following the award due to constraints on the start or end date of a grant, or due to other circumstances outside the control of the Society.

The Society also awards some grants with conditions for payment being a specific level of service or specific output to be delivered. Such grant awards (commitments) will be reserved in the Designated funds, and the grants are only recognised in the SoFA once the recipient of the grant has provided evidence of the specific service or output. Such grants are therefore reviewed annually and the grant payments subject to the condition of a progress report with satisfactory performance. If the project spans a number of years and satisfactory progress reports are received after year one, the first stage of the grant will be released from the Designated fund and that part of the grant expenditure will be recognised in the SoFA at that point.

Grants unclaimed by the end of award year +2 will be released back to the Society’s general funds.

n) Grants payable

The Society has partial exempt status in respect of VAT, based on the split of its business and non-business activities. The proportion of VAT that cannot be recovered because of partial or fully exempt status of the activity is redistributed to the activities. The basis on which irrecoverable VAT have been allocated to the activities are set out in note 12.

o) Medals in stock

The medal stock for the prize is stated at the lower of cost and net realisable value.

p) General Fund

The Unrestricted reserves are analysed between the General Fund and other Designated Funds. The General Fund, detailed in note 21 to the financial statements, is to provide for the general operation of the Society including its charitable activities not funded from Designated or Restricted Funds. Within the Society’s reserves the General Fund is deemed an expendable reserve to be used in pursuit of the Society’s objectives as Council may from time to time determine. At present it is managed to provide the income to be used to ensure the availability of resources for its grant schemes and other charitable activities in future years.

50

NOTES TO THE FINANCIAL STATEMENTS For the year ended 31st July 2024

1. Accounting Policies (continued)

q) Designated Funds

The Unrestricted reserves are analysed between general and designated funds. The Trustees have created the following designated funds:

This reserve is to meet the costs of (a) consequences of the temporary loss of De Morgan House, (b) periodic internal and external decoration and maintenance, (c) major modifications or repairs.

This reserve is to meet the costs of (a) breaches of copyright or libel actions against the Society, (b) special strategic and commercial initiatives (c) exploration and start-up costs of new ventures (d) consequential costs should the Society to cease publishing, (e) unpredictable annual fluctuations in the surplus.

This fund has been established to cover grants awarded and approved by Council to be paid in future accounting periods, subject to available finance and satisfactory report.

This fund holds the transaction relating to, and any year-end excess of income over expenditure, relating to the Society’s joint venture with the Foundation Compositio to produce the journal Compositio.

This fund is set aside to allow the Society to develop and fund activities to support the Society’s global ambitions in line with the updated strategic direction. The fund will allow the Society to support relationships and programmes in-line with the Society’s objectives to promote and extend mathematical knowledge. The fund will initially operate for the next five years but will be reviewed annually as the global aspects of the strategy are implemented.

(vi) Funds to develop the Society’s updated strategy and strategic objectives This fund is set aside to allow the Society to develop and fund activities to embed the updated strategy. It is intended that the reserve will be reviewed as circumstances arise each year.

r) Restricted Funds

The income of these restricted funds is to be used for the following purposes:

51

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

1. Accounting Policies (continued)

s) Support and governance costs

Support costs are those functions that assist the work of the charity but do not directly undertake charitable activities. Support costs include back-office costs, finance, personnel, payroll and governance costs which support the Society’s Mathematical Sciences programmes and activities. The Governance costs include external audit, legal advice and the costs of trustee and committee meetings, as well as costs associated with constitutional and statutory requirements. Support and governance costs have been allocated between the costs of raising funds and charitable activities. The bases on which support and governance costs have been allocated to activities are set out in note 12.

t) Employee benefits

Termination benefits are recognised immediately as an expense when the Society is demonstrably committed to terminate the employment of an employee through, for example, redundancy, or to provide termination benefits.

u) Heritage assets

The Society holds an archive of historical material, known as the LMS Archive. The purpose of the Society’s Archive is to provide a permanent historical record of the activities of the London Mathematical Society. The Society’s Archive also provides protection for other significant material relating to mathematics in the UK that might otherwise be lost or destroyed, for the purposes of bibliographic reference and further study by historians of mathematics. No value is attributed to the Archive in the financial statements. From time to time, items may be added to the Archive and again no value is attributed to these items in the financial statements. The cost of regular valuations of items in the archive would not be justified.

2. Investment Income

2024
a) Investment income receivable:
Total returns/ Unit Trust Distribution
Unrestricted Designated Restricted
£
£
£
(Bond interest, Equities dividends, etc.)
549,963
-
8,852
Re-invested total returns
(102,551)
-
-
Net investment income receivable
447,412
-
8,852
b) Residential property rental income
164,241
-
-
c) Interest receivable (Treasury Reserve and Bank deposits)
70,207
-
3,731
Total investment income 2024
681,860
-
12,583
2023
a) Investment income receivable:
Total returns/ Unit Trust Distribution
Unrestricted Designated Restricted
£
£
£
(Bond interest, Equities dividends, etc.)
545,186
-
8,399
Re-invested total returns
(109,865)
-
-

Net investment income receivable
435,321
-
8,399
b) Residential property rental income
146,423
-
-
c) Interest receivable (Treasury Reserve and Bank deposits)
40,103
-
726
Total investment income 2023
621,847
-
9,125		 Total
2024
£
558,815
(102,551)
456,264
164,241
73,938
694,443
Total
2023
£
553,585
(109,865)
443,720
146,423
40,829
630,972

52

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

3.
Income from other trading activities
2024
£
a) DMH Conference facilities
248,743
b)
DMH Rental income
105,632
c)
Advertising in Newsletter
1,335
Total
355,710
4.
Costs of raising funds
a)
Conference facilities
2024
£
£
General expenditure
64,146
Apportioned support and governance costs
93,907
158,053
b)
Service for tenants
96,319
c)
Investment Management fees
65,171
d)
Residential Investment Property costs
63,065
Total
382,608
5.
Charitable activities: Advancing the interests of Mathematics
Members’ services:
2024
£
£
LMS Newsletter
13,931
Other costs
6,365
Unrecoverable subscriptions
4,643
24,939
Activities to support Women in Mathematics
118
Activities to support Maths -Computer Sciences
895
Library, binding and archives
4,714
EMS, IMU, ICIAM subscriptions & ICM costs
26,967
Prizes
12,858
Apportioned support and governance costs (note 12)
252,000
Total
322,491		 2023
£
175,214
91,762
2,478
269,454
2023
£
£
43,137
74,232
117,369
96,964
80,758
51,810
346,901
2023
£
£
22,806
3,858
3,485
30,149
1,208
-
4,373
11,170
10,461
259,717
317,078

53

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

6. Charitable activities: Enabling Mathematicians to undertake research and collaboration

Grant Schemes
Research Grants (Schemes 1 – 6 and MIA AMMSI)
Early Career Support (Schemes 8 and 9/ECR travel grants)
Research School Grants(incl. £15k HIMR Fund)
Early Career Fellowship Grants(incl. £20k HIMR Fund)
Undergraduate Bursaries(incl. £20k HIMR Fund)
Undergraduate Summer School
Computer Science Grants
Small Education grants (incl. Teachers CPD)
Women in Mathematics scheme
Atiyah UK-Lebanon Fellowships
Isaac Newton Institute (INI) Grants
ECM/ICM travel Grants(incl. £2k HIMR Fund)
Mentoring African Research in Mathematics (MARM)(Restricted)
Cecil King Grants (Restricted)
Emmy Noether Fellowship (Restricted)
ACME Grants (Designated)
ICMU grant (LMS-DVF Scheme) (Designated)
Solidarity Grants(Restricted)
Ad hoc Grants to Mathematical Bodies (UK & International)
Total Grants before cancellation/refunds and Support costs
Less: Grants cancellation and refunds
Charitable giving of LMS rooms
Apportioned support and governance costs (note 12)
Total Grants after cancellation/refunds and Support costs
ANALYSIS OF GRANT AWARDS
a) Grants: contractual commitments
Royal Society (ACME grant)
b) Other grant awards to institutions
c) Other grant awards to individuals
Total grant awards
GRANT REFUNDS AND CANCELLATION
Grant refunds
Grants not taken up (‘out of date’)
Total grant refunds and cancellation
MOVEMENT IN OBLIGATION GRANT COMMITMENTS*
Grant recognised at the start of the year
New grants charged to the SoFA in year
Grants paid during the year
Grants not taken up (‘out of date’)
Amount of grant recognised at the end of the year		 2024
£
£
351,396
50,643
60,000
74,688
35,626
25,000
1,500
11,110
3,817
8,600
30,000
5,499
657,879
-
12,000
18,300
7,000
1,400
125,465
8,462
830,506
(59,748)
33,505
189,255
993,518
2024
£
7,000
592,118
231,388
830,506
2024
£
(24,067)
(35,681)
(59,748)
2024
£
273,891
830,506
(721,540)
(35,681)
347,176		 2023
£
£
328,225
50,439
45,000
69,695
34,440
24,000
1,470
10,324
5,950
8,000
30,000
-
607,543
4,000
18,000
17,543
7,000
-
83,553
11,200
748,839
(132,290)
22,880
178,807
818,236
2023
£
7,000
543,159
198,680
748,839
2023
£
(66,887)
(65,403)
(132,290)
2023
£
341,389
748,839
(750,934)
(65,403)
273,891		 2023
£
£
328,225
50,439
45,000
69,695
34,440
24,000
1,470
10,324
5,950
8,000
30,000
-
607,543
4,000
18,000
17,543
7,000
-
83,553
11,200
748,839
(132,290)
22,880
178,807
818,236
2023
£
7,000
543,159
198,680
748,839
2023
£
(66,887)
(65,403)
(132,290)
2023
£
341,389
748,839
(750,934)
(65,403)
273,891
2023
£
341,389
748,839
(750,934)
(65,403)
273,891

54

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

7. Charitable activities: Disseminating Mathematical Knowledge - Publications

a) Net Income from LMS journals
b) Direct costs of Publications
Journal of Computation and Mathematics
Costs of Expository Surveys project
Other Operational Costs
Net LMS periodicals surplus
before Support and governance costs
Apportioned support and governance costs (note 12)
Net LMS periodicals surplus
after Support and governance costs
c) Ventures & Royalties (net income)
Nonlinearity
Russian journals (Turpion/RAS/LMS joint venture)
LMS Books and Royalties
Compositio
Profit share & Management fee (see 7d)
Costs of_Compositio_(LMS - only)
Mathematika (net income)
NET PUBLICATIONS SURPLUS		 2024
£
£
868,089
(500)
(2,470)
(24,056)
(27,026)
841,063
(340,713)
500,350
195,748
50,948
13,921
260,617
103,052
-
103,052
51,701
915,720		 2023
£
£
864,470
(500)
(4,440)
(20,388)
(25,328)
839,142
(356,701)
482,441
170,844
-
17,978
188,822
91,633
(10)
91,623
45,680
808,566

The Society was involved in the following publishing ventures in the year:

d) Compositio management account

d) _Compositio_management account
Expenditure
Income
Direct costs
Profit share to_Compositio_Foundation
Net_Compositio_surplus before LMS fees and Profit share
Management fee to LMS
Profit share to LMS
Balance C/fwd on_Compositio_Fund		 2024
£
296,450
(43,943)
(149,455)
(193,398)
103,052
(39,000)
(64,052)
-		 2023
£
260,562
(46,117)
(122,812)
(168,929)
91,633
(39,000)
(52,633)
-

55

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

8. Charitable activities: Disseminating Mathematical Knowledge

– Conference and meeting programmes

Society meetings and regional workshops
Aitken/Forder Lectures
Invited Lectures
Hardy Lecturer
Caring costs for Lecturers visiting UK
Apportioned support and governance costs (note 12)
Total		 2024
£
£
36,249
-
6,000
-
-
42,249
133,001
175,250		 2023
£
£
32,220
1,512
4,518
3,618
1,182
43,050
110,722
153,772

9. Charitable activities: Promoting Mathematical Research & its benefits

Policy
CMS
Communication and External Relations
Research Policy Activities
Annual dinner
Subscriptions to UK organisations
Education and young people, public engagement
Holgate Lecturers
Popular Lectures
MCTD (Maths Communication Training Days)(Restricted)
Other educational activities (Education Day/etc)
Levelling Up Scheme(Restricted)
Campaign for Pure Mathematics(Restricted)
Apportioned support and governance costs (note 12)
Total		 2024
£
£
33,899
7,947
-
7,948
2,348
52,142
1,350
2,854
4,124
2,281
10,609
4,548
328,611
349,034
744,944		 2023
£
£
24,764
3,868
4,613
5,493
2,233
40,971
1,800
1,376
4,710
2,137
10,023
13,676
158,300
315,649
538,619		 2023
£
£
24,764
3,868
4,613
5,493
2,233
40,971
1,800
1,376
4,710
2,137
10,023
13,676
158,300
315,649
538,619
538,619

56

NOTES TO THE FINANCIAL STATEMENTS For the year ended 31st July 2024

10. Governance and other committees’ costs

2024 2023 2023
£ £ £ £
Professional services
Solicitors fees 490 1,081
Audit and accountancy fees 15,000 18,500
Audit and accountancy fee over accrual 1,850 400
Other professional fees 22,135 35
39,475 20,016
Costs of meetings_(Catering/Accommodation/Travel/Subsistence)_
Governance(Council/F&GPC/Nomination, etc.) 9,686 15,411
Other Committees 2,997 2,439
12,683 17,850
Election of Trustees 4,670 4,558
General office and staff costs (apportioned)(note 11_)_ 238,125 247,750
Total 294,953 290,174
nalysis of general support and governance costs
Governance and Other general Total
2024 Committee related support 2024
£ £ £
Staff costs 178,533 849,237 1,027,770
Office and Premises costs 24,586 111,776 136,362
IT costs 17,033 73,060 90,093
Depreciation 13,174 49,317 62,491
Irrecoverable VAT 4,799 79,992 84,791
Professional services 39,475 - 39,475
Costs of meetings 12,683 - 12,683
Elections of Trustees 4,670 - 4,670
Total 2024 294,953 1,163,382 1,458,335
Governance and Other general Total
2023 Committee related support 2023
£ £ £
Staff costs 172,727 786,588 959,315
Office and Premises costs 44,344 173,458 217,802
IT costs 12,381 57,491 69,872
Depreciation 13,755 45,381 59,136
Irrecoverable VAT 4,543 48,121 52,664
Professional services 20,016 - 20,016
Costs of meetings 17,850 - 17,850
Elections of Trustees 4,558 - 4,558
Total 2023 290,174 1,111,039 1,401,213

11. Analysis of general support and governance costs

57

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

12. Allocation of support and governance costs by activity

2024
Raising funds
Conference facilities (DMH)
Services for tenants (DMH)
Managing Residential Property
Total support costs for raising funds
Charitable activities
• Advancing the interest of Mathematics
• Enabling Mathematicians to undertake
research and collaboration
• Disseminating Mathematical Knowledge
– Publications
• Disseminating Mathematical Knowledge
– Conference and meeting programmes
• Promoting Mathematics research and
its benefits
Total support costs for Charitable activities
Total 2024
2023
Raising funds
Conference facilities (DMH)
Services for tenants (DMH)
Managing Residential Property
Total support costs for raising funds
Charitable activities
• Advancing the interest of Mathematics
• Enabling Mathematicians to undertake
research and collaboration
• Disseminating Mathematical Knowledge
– Publications
• Disseminating Mathematical Knowledge
– Conference and meeting programmes
• Promoting Mathematics research and
its benefits
Total support costs for Charitable activities
Total 2023		 Direct
Staff
£
Direct
Staff
26,230
16,866
14,047
57,143
115,246
94,077
190,256
53,575
136,244
589,398
646,541
£
24,316
15,075
9,241
48,632
104,533
73,604
188,416
30,626
120,901
518,080
566,712		 General
General
Governance
Office
Management
and
£
and Finance
£
Committee
£
General
Office
General
Management
and Finance
Governance
and
Committee
59,549
7,622
506
63,986
1,391
506
1,930
1,193
506
125,465
10,206
1,518
33,872
43,891
58,991
24,266
33,683
37,229
40,577
50,889
58,991
11,913
15,776
51,737
95,148
31,155
86,487
205,776
175,394
293,435
331,241
185,600
294,953
£
£
£
38,429
10,998
489
75,420
1,848
489
1,396
1,427
489
115,245
14,273
1,467
40,655
56,494
58,035
22,217
46,374
36,612
48,035
62,215
58,035
8,939
20,263
50,894
67,021
42,596
85,131
186,867
227,942
288,707
302,112
242,215
290,174		 Total
2024
£
93,907
82,749
17,676
194,332
252,000
189,255
340,713
133,001
349,034
1,264,003
1,458,335
Total
2023
£
74,232
92,832
12,553
179,617
259,717
178,807
356,701
110,722
315,649
1,221,596
1,401,213

Basis of apportionment

Support costs include (a) Staff costs (salaries, benefits, training, H&S, recruitment, etc. of staff directly attributable to each of the above Society’s activities); (b) General Office Costs (rent, rates, services, cleaning, equipment, maintenance, telephones, postage, equipment, stationery, etc., depreciation and Irrecoverable VAT, and IT costs such as computer hardware and software, network, internet access, websites, software development, etc.), (c) General management and finance (cost of services that cannot be directly attributed to an activity, i.e. general accounting and financial controls, HR and Executive Secretary’s general management, etc.) ( d) Governance costs (costs of meetings, trustees’ expenses, and costs associated with constitutional and statutory requirements).

The costs of these are attributed across all the activities of the Society in proportion to (a) salary or f.t.e., (b) space occupied in De Morgan House, and (c) f.t.e. respectively, based on a time analysis undertaken by all staff.

58

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

12. Allocation of support and governance costs by activity (continued)

Support and governance costs have been allocated between the costs of raising funds and charitable activities as:

The Society has partial exempt status in respect of VAT, based on the split of its business and non-business activities. The proportion of VAT that cannot be recovered because of partial or fully exempt status of the activity is redistributed to the activities on the same basis as the original elements (i.e. staff time and space occupied, IT and office use etc.), under General Office costs.

Support costs for each area of the above activities can be higher or lower than last year due to staff time allocation. This changes from year to year and will have an effect on direct staff costs, general office costs, general management costs and governance costs.

13.

Employment Costs
Total employment costs of all staff including taxable benefits for the year comprise:
Salaries and Wages
Employer’s National Insurance Contributions
Less HMRC employment allowance and SMP recovery
Employer’s Pension Contributions
Total		 2024
£
795,007
90,359
(13,025)
124,584
996,925		 2023
£
703,509
80,781
(5,000)
128,826
908,116

The total employment costs (Salaries/NIC /Pension) for the Executive Management Team amounted to £507,092 (2023: £390,827). This team is considered to be Key Management Personnel and consists of the Executive Secretary, Head of Finance, Head of Society Business, Head of Conference and Building, and Head of Publication .

The pension payments for the above members of staff amounted to £68,164 (2023: £62,168). These contributions were paid into a defined benefits pension scheme.

The number of employees earning £60,000 per annum or more was:

2024 2023
No. No.
£60,000 - £70,000 3 1
£70,000 - £80,000 2 1
£80,000 - £90,000 - 1
£100,000 - £110,000 1 -

The average number of employees over the year (and full time equivalent) was:

Management and administration
Publishing and editorial
Total		 Total
2023/2024
FTE
12.4
10.9
3.0
3.0
15.4
13.9		 Total
2022/2023
FTE
12.4
9.8
2.8
2.8
15.2
12.6		 Total
2022/2023
FTE
12.4
9.8
2.8
2.8
15.2
12.6
12.6

59

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

14. Pension costs

The Society participates in Universities Superannuation Scheme (USS). The assets of the scheme are held in a separate trustee-administered fund. Because of the mutual nature of the scheme, the assets are not attributed to individual institutions and a scheme-wide contribution rate is set. The Society is therefore exposed to actuarial risks associated with other institutions’ employees and is unable to identify its share of the underlying assets and liabilities of the scheme on a consistent and reasonable basis. As required by Section 28 of FRS 102 “Employee benefits”, the Society therefore accounts for the scheme as if it were a defined contribution scheme. As a result, the amount charged to the profit and loss account represents the contributions payable to the scheme. Since the Society has entered into an agreement (the Recovery Plan) that determines how each employer within the scheme will fund the overall deficit, the Society recognises a liability for the contributions payable that arise from the agreement (to the extent that they relate to the deficit) with related expenses being recognised through the profit and loss account. However, changes in economic conditions have driven a significant improvement in the USS pension scheme’s funding position. According to USS advice, no deficit recovery plan was required resulting from the 2023 valuation, because the scheme was in surplus. This meant the deficit recovery contributions required after the 2020 valuation were no longer needed, therefore no provision of Pension Liability appears on the Society’s balance sheet as a result. Using USS current Actuarial modeller, the Society made an actuarial gain of £499k this year, which removes the entire pension liabilities accumulated in the previous years.

The total movement to the profit & loss account is a gain of £498,841 (2023: loss of £61,172) as shown in note19.

The latest available complete actuarial valuation of the Retirement Income Builder is at 31 March 2023 (the valuation date), which was carried out using the projected unit method.

Since the Society cannot identify its share of USS Retirement Income Builder (defined benefit) assets and liabilities, the following disclosures reflect those relevant for those assets and liabilities as a whole.

The 2023 valuation was the seventh valuation for the scheme under the scheme-specific funding regime introduced by the Pensions Act 2004, which requires schemes to adopt a statutory funding objective, which is to have sufficient and appropriate assets to cover their technical provisions. At the valuation date, the value of the assets of the scheme was £73.1 billion and the value of the scheme’s technical provisions was £65.7 billion showing a surplus of £7.4 billion (2022: a shortfall of £14.1 billion) and a funding ratio of 111%.

The key financial assumptions used in the 2023 valuation are described below. More detail is set out in the Statement of Funding Principles.

of Funding Principles.
CPI assumption Term dependent rates in line with the difference between the Fixed Interest and
Index Linked yield curves less:
1.0% p.a. to 2030, reducing to 0.1% p.a. from 2030
Pension increases (subject to a floor of 0%) Benefits with no cap:
CPI assumption plus 3bps
Benefits subject to a “soft cap” of 5% (providing inflationary increases up to 5%,
and half of any excess inflation over 5% up to a maximum increase of 10%):
CPI assumption plus 3bps
Discount rate (forward rates) Fixed interest gilt yield curve plus:
Pre-retirement: 2.5% p.a.
Post-retirement: 0.9% p.a.
The main demographic assumption used relates to the mortality assumptions. These assumptions are based on analysis of th
scheme’s experience carried out as part of the 2023 actuarial valuation. The mortality assumptions used in these figures ar
as follows:
Mortality base table 101% of S2PMA “light” for males and 95% of S3PFA for females
Future improvements to mortality CMI 2021 with a smoothing parameter of 7.5 an initial addition of 0.4% p.a.
10% w2020 and w2021 parameters, and a long-term improvement rate of 1.8%
pa for males and 1.6% pa for females
The current life expectancies on retirement are:
2024
2023
Males currently aged 65 (years) 23.7
24.0
Females currently aged 65 (years) 25.6
25.6
Males currently aged 45 (years) 25.4
26.0
Females currently aged 45 (years) 27.2
27.4

The main demographic assumption used relates to the mortality assumptions. These assumptions are based on analysis of the scheme’s experience carried out as part of the 2023 actuarial valuation. The mortality assumptions used in these figures are as follows:

60

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

15. Fixed Asset Investments

a) Quoted investments
Total Market value at 31st July 2024		 £
Investment
Assets
in the UK
3,289,676		 2024
£
Investment
Assets
outside the
UK
11,013,262		 2023
£
£
Total
Total
14,302,938 £13,440,223		 2023
£
Total

In the prior year, £670,630 of investment assets were in the UK with the remaining £12,769,593 being outside the UK.

Reconciliation of opening & closing market values:
Market value at 1stAugust 2023
Additions at cost
Disposal proceeds
Gains/(losses) (note 16a)
Movement in cash
Total Market value at 31st July 2024

Analysis by Fund:
Restricted Funds
Unrestricted Funds		 £
13,440,223
6,606,950
(6,504,526)
930,632
(170,341)
14,302,938		 £
13,766,170
117,288
(16,214)
(241,790)
(185,231)
13,440,223
270,091
14,032,847		 249,710
13,190,513

The investments are entirely invested in the Schroder/Cazenove Sustainable Multi-Asset Fund (SMAF)] [Prior year: 50% in CMAF, 50% in SMAF)

b) Residential Property investments
Market value at 31st July 2024
Reconciliation of opening and closing market values:
Market value at 1st August 2023
Gains in market value (note 16b)
Total Market value at 31st July 2024		 2024
£
4,144,450
3,938,750
205,700
4,144,450		 2023
£
3,938,750
3,713,950
224,800
3,938,750

Represents purchase of property for residential letting purposes to diversify the Society’s investment portfolio. The rental derived is shown on the SoFA under ‘Investment Income’.

16. Gains and losses on investment assets

2024
Unrestricted
funds
£
a. Gains in market value ofQuoted investments
914,603
b. Gains in market value ofResidential Properties
205,700
Total gains
1,120,303
2023
Unrestricted
funds
£
a. Losses in market value ofQuoted investments
(235,883)
b. Gains in market value ofResidential Properties
224,800
Total losses
(11,083)		 Restricted
funds
£
16,029
-
16,029
Restricted
funds
£
(5,907)
-
(5,907)		 Total
£
930,632
205,700
1,136,332
Total
£
(241,790)
224,800
(16,990)

61

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

17. Tangible Fixed Assets Leasehold Fixtures Total
Property Fittings and
Equipment
£ £ £
Cost
Brought forward at 1st August 2023 2,175,353 177,181 2,352,534
Additions - 19,150 19,150
Disposal Adjustments - (31,028) (31,028)
Carried forward at 31st July 2024 2,175,353 165,303 2,340,656
Depreciation
Brought forward at 1stAugust 2023 1,099,735 146,300 1,246,035
Charge for the year 44,818 17,673 62,491
Disposal Adjustments - (31,028) (31,028)
Carried forward at 31st July 2024 1,144,553 132,945 1,277,499
Net book value
At 31st July 2024 1,030,800 32,358 1,063,158
At 31stJuly 2023 1,075,618 30,881 1,106,499
• Part of the leasehold property is let out and the rental derived is shown on the SOFA under ‘Activities for Generating Funds’.
18. Debtors 2024 2023
£ £
Publications 101,814 100,501
Conference facilities 23,643 6,280
Other debtors 32,750 28,482
Prepayments and accrued interest 54,506 44,505
212,713 179,768
19. Creditors and Deferred Income 2024 2023
£ £
Creditors: amounts falling due within one year
Accruals 48,101 41,333
Grant creditors 347,175 273,891
Taxation and other Social Security creditors 110,757 103,379
Other creditors 326,755 251,580
832,788 670,183
Deferred income:
Unexpired publications’ subscriptions:
Balance brought forward - 47,887
Amount released in year - (47,887)
Income deferred to future years - -
Balance carried forward - -
Creditors: amounts falling due after more than one year
Brought Forward Pension Provision 498,841 437,669
Movement (498,841) 61,172
Carried Forward Pension Provision - 498,841

62

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

20. Restricted Funds

2024
Prize (Capital) funds
Berwick Fund
De Morgan Medal & Larmor Fund
Prize (Income) funds
Berwick Fund
De Morgan Medal & Larmor Fund
Lord Rayleigh’s Fund
J.H.C. Whitehead Fund
Fröhlich Fund
Shephards Fund
Other funds
A.J. Cunningham Research Fund
Zeeman Fund
Frank Gerrish Fund
Cecil King Grant
Emmy Noether Fellowship Fund
Levelling Up Scheme
Campaign for Pure Maths Fund
Solidarity Grant Fund
HIMR Fund
Maths Communication Training Fund
Total Funds		 Balance
at
Other &
Investment Expenditure
Investment
Gain/(loss)
Transfers
Balance
at
1.08.23
Income
31.07.24
£
£
£
£
£
£
32,780
1,393
-
-
-
34,173
29,368
1,248
-
-
-
30,616
16,544
586
(1,500)
1,062
-
16,692
52,734
1,869
-
3,385
-
57,988
21,541
764
-
1,383
-
23,688
-
-
(1,500)
- 1,500
-
14,619
518
(1,500)
938
-
14,575
40,341
1,431
(1,500)
2,589
-
42,861
103,931
3,684
-
6,672
-
114,287
221
10
-
-
-
231
25,419
2,315
(2,470)
-
-
25,264
-
12,000
(12,000)
-
-
-
32,457
25,000
(18,300)
-
-
39,157
12,754
12,000
(5,410)
-
(8,789)
10,555
142,389
375,057
(391,198)
-
-
126,248
105,947
200,000
(125,464)
-
-
180,483
-
57,000
(57,000)
-
-
-
-
5,000
(4,124)
- (876)
-
631,045
699,875
(621,966)
16,029 (8,165)
716,818
2023
Prize (Capital) funds
Berwick Fund
De Morgan Medal & Larmor Fund
Prize (Income) funds
Berwick Fund
De Morgan Medal & Larmor Fund
Lord Rayleigh’s Fund
J.H.C. Whitehead Fund
Fröhlich Fund
Shephards Fund
Other funds
A.J. Cunningham Research Fund
Zeeman Fund
Frank Gerrish Fund
MARM Grant
Cecil King Grant
Emmy Noether Fellowship Fund
Levelling Up Scheme
Campaign for Pure Maths Fund
Solidarity Grant Fund
HIMR Fund
Total Funds		 Balance
at
Other &
Investment
Investment
Expenditure Gain/(loss)
Transfers
Balance
at
1.08.22
Income
31.07.23
£
£
£
£
£
£
32,505
275
-
-
-
32,780
29,120
248
-
-
-
29,368
18,609
626
(2,250)
(441)
-
16,544
52,213
1,757
-
(1,236)
-
52,734
21,328
718
-
(505)
-
21,541
-
-
(1,750)
-
1,750
-
14,473
489
(343)
-
14,619
39,942
1,345
(946)
-
40,341
102,903
3,464
-
(2,436)
-
103,931
221
-
-
-
-
221
23,836
6,023
(4,440)
-
-
25,419
-
1,600
(4,000)
-
2,400
-
-
18,000
(18,000)
-
-
-
25,000
25,000
(17,543)
-
-
32,457
49,664
24,000
(13,676)
-
(47,234)
12,754
30,689
300,000 (188,300)
-
-
142,389
9,500
180,000
(83,553)
-
-
105,947
-
68,000
(68,000)
-
-
-
450,003
631,545 (401,512)
(5,907)
(43,084)
631,045

63

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

21. Unrestricted Funds

2024
General Fund:
(see note1(p))
Designated Funds:
a) Building & Development
Reserve Fund
b) Publication
Reserve Fund
c) Grants Payable
Reserve Fund
d) Compositio Fund
e) Global Engagement
Reserve Fund
f) Strategic objectives
Reserve Fund		 Balance
at
01.08.23
Income
Expenditure Gain/(loss)
on
investments

£
£
£
£
15,650,336 2,485,459 (2,356,378)
1,120,303

600,000
-
-
-
3,000,000
7,000
-
-
-
(7,000)
-
-
-
296,450
(193,398)
-
100,000
-
(1,400)
-
50,000
-
-
-
3,757,000
296,450
(201,798)
-
19,407,336
2,781,909 (2,558,176)
1,120,303		 Actuarial
gains
(losses) on
pension
scheme
Transfer
Balance
at
31.07.24
£
£
£
498,841 (938,783) 16,459,778
-
350,000
950,000
-
400,000
3,400,000
-
-
-
-
(103,052)
-
-
-
98,600
-
300,000
350,000
-
946,948
4,798,600
498,841
8,165
21,258,378

a. The transfer of £350,000 from General fund to Building Fund is to ensure that there is enough fund for the inevitable need to maintain and upkeep De Morgan House

f. The transfer of £300,000 from General fund to Strategic objectives Fund is to cover the costs activities for updated strategy. It is intended that the reserve will be reviewed as circumstances arise each year.

01.08.22
General Fund:
(see note1(p))
£
15,639,501
Designated Funds:
a) Building & Development
Reserve Fund
b) Publication
Reserve Fund
c) Grants Payable
Reserve Fund
d) Compositio Fund
e) Global Engagement
Reserve Fund
f) Strategic objectives
Reserve Fund
Balance
2023
at
600,000
3,000,000
14,000
-
-
-
3,614,000
19,253,501		 investments (losses) on
pension
scheme
31.07.23
£
£
£
£
£
£
2,246,752 (2,148,379) (11,083)
(61,172)
(15,283) 15,650,336
Income
Expenditure Gain/(loss)
Actuarial
Transfer
Balance
on
gains
at
-
-
-
-
-
600,000
-
-
-
-
-
3,000,000
-
(7,000)
-
-
-
7,000
260,562
(168,929)
-
-
(91,633)
-
-
-
-
-
100,000
100,000
-
-
-
50,000
50,000
260,562
(175,929)
-
-
58,367
3,757,000
2,507,314 (2,324,308)
(11,083)
(61,172)
43,084 1 9,407,336

64

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

22. Analysis of net assets between funds

2024
Fund balances are represented by
Tangible fixed assets
Investments
Current assets
Current liabilities
Total net assets
2023
Fund balances are represented by
Tangible fixed assets
Investments
Current assets
Current liabilities
Long-term liabilities
Total net assets
23.
Grants and Contracts Management account
CMS
Income(IMA/RSS/EdMS/ORS contributions)
Expenditure (including support costs)
LMS’s Contribution to the CMS
MARM
Income from IMU
Expenditure
LMS’s Contribution to the MARM		 Unrestricted funds
General
£
Designated
£
1,063,158
-
13,378,697
4,798,600
2,850,711
-
(832,788)
-
16,459,778
4,798,600
Unrestricted funds
General
£
Designated
£
1,106,499
-
13,372,263
3,757,000
2,340,598
-
(670,183)
-
(498,841)
-
15,650,336
3,757,000
2024
£
£
61,143
(100,051)
(38,908)
-
-
-		 Restricted
Total
Funds
£
Funds
£
-
1,063,158
270,091
18,447,388
446,727
3,297,438
-
(832,788)
716,818
21,975,196
Restricted
Total
Funds
£
Funds
£
-
1,106,499
249,710
17,378,973
381,335
2,721,933
-
(670,183)
-
(498,841)
631,045
20,038,381
2023
£
£
59,366
(98,215)
(38,849)
1,600
(4,000)
(2,400)

24. Transactions with Trustees and connected persons

Trustees receive reimbursement only for expenses actually incurred in attending meetings. No remuneration is paid to trustees except as disclosed below. The gross amount that has been reimbursed in respect of attendance of meetings in the period amounted to £5,044 for 15 Trustees (2023: £4,856 for 13 Trustees).

As disclosed in the Trustees’ Report, where grants are awarded to Trustees the payment is always made to the relevant institution.

65

NOTES TO THE FINANCIAL STATEMENTS

For the year ended 31st July 2024

25. Comparison figures of each fund (2022/23 financial statements)

Income and endowments:
Notes
Donations and legacies
Income from charitable activities:
Membership subscriptions
Publications – LMS Periodicals
7a
Publications – Ventures and Royalties
7c,d
Grants and contracts
23
Total income from charitable activities
Income from other trading activities
3
Income from Investments
2
Other income		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
7,210
- 529,000
156,937
-
-
858,650
-
5,820
234,748
260,562
-
94,866
-
87,600
1,345,201
260,562
93,420
269,454
-
-
621,847
-
9,125
3,040
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
7,210
- 529,000
156,937
-
-
858,650
-
5,820
234,748
260,562
-
94,866
-
87,600
1,345,201
260,562
93,420
269,454
-
-
621,847
-
9,125
3,040
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
7,210
- 529,000
156,937
-
-
858,650
-
5,820
234,748
260,562
-
94,866
-
87,600
1,345,201
260,562
93,420
269,454
-
-
621,847
-
9,125
3,040
-
-		 Unrestricted
General
Funds
£
Designated
Funds
£
Restricted
Funds
£
7,210
- 529,000
156,937
-
-
858,650
-
5,820
234,748
260,562
-
94,866
-
87,600
1,345,201
260,562
93,420
269,454
-
-
621,847
-
9,125
3,040
-
-		 2023
Total
Funds
£
536,210
156,937
864,470
495,310
182,466
1,699,183
269,454
630,972
3,040
Total Income
2		 ,246,752 260,562 631,545 3,138,859
Expenditure:
Costs of raising funds
4
Expenditure on charitable activities:
Advancing the interests of mathematics
Enabling mathematicians to undertake research
5
and collaboration
6
Disseminating mathematical knowledge:
-
Costs of publications
7b,c,d
-
Conferences and meeting programmes
8
Promoting mathematical research and its benefits
9		 346,901
313,078
620,140
377,845
153,772
336,643
1,801,478		 -
-
-
4,000
7,000 191,096
168,929
4,440
-
-
-
201,976
175,929
401,512		 346,901
317,078
818,236
551,214
153,772
538,619
2,378,919
Total expenditure 2,148,379 175,929
401,512		 2,725,820
Actuarial loss on defined benefit
pension schemes
14,19
Net income before gains and losses on investment
Net (losses)/ gains on investment assets
16
Net Income for the year
Transfers between funds
20,21		 (61,172)
98,373
(11,083)
87,290
(15,283)		 -
-
84,633
230,033
-
(5,907)
84,633
224,126
58,367
(43,084)		 (61,172)
413,039
(16,990)
396,049
-
Net movement in funds for the year 10,835 143,000
181,042		 334,877
Reconciliation of funds:
Total funds brought forward
 15,639,501 3,614,000
450,003		 19,703,504
Fund balances carried forward
 15,650,336
3,757,000
631,045		 20,038,381

66