2022 Accounts
London Institute for Mathematical Sciences
Reglstered company no. 06814771
Registered charity no. 1139814
Other names London Insytute,. LIMS
Reg1Ste￿d address 21 Albemarle Street, London, WIS 48S
Solicitors Eversheds. I Wood St, London EC2V 7WS
Independent examiners TC Graup, The Courtyard, Shoreham
Road. Upper Beeding, Steyning, West
Sussex. BN44 3TN
A charitable company limitsd byguarantee
www.lim5.ac.uk
Trustees
DrThomas Fink Imanaging Directorl
Sir Roy Anderson, FRS
Slr john Beddington, FRS
Mr Martin Reeves
Trustees, report and
unaudited financial statements
for the year ended 31 December 2022
Trustees, annu31 rèport
Notes to the linancial statements
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Independent examineT'S report
Company status
N.2 Accounting policles
N.3 Goln8 concern
N.4 Income
N.5 Expenditilre
Net income & expenditure
N.7 Tangible fixed assets
N.8 Investments
N.9 Debtors
N.10 Creditors
N.11 Restricted and unrestricted funds
N.12 Analysls of net assets between funds
N.13 Related party transactions
N.14 Operating lease commitments
N.15 Comparative statement of financial athvlties
for the year ended 31 Dec 2021
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Statement of financial actiwties
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8alance sheet
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London Institutr br Mathernatrcal Sciences
Ac¢ount$lor the year ended 31 December
2022
Trustees, Annual Report
Summary of 2022
Structure of Ihe London Institute Financlal review
2022 was a ty0msfoimaiivt year. At th¢ start of The London It￿titUte adva￿eS research for the At the end of 2022 the Institute had total
the Ukrainian war. we rnived fast to crffaLeour publjcbenefiibymaintaiDinBani￿aepend¢nLre- reSe￿¢S ts1£150,841 compared to £182.199 i
ArDold and ￿daU Fellowships for scientists Search irn%timte fi)rtheoreticaIphy5ics andJnath- 2021. li ha(1 a $utplu5 of restricted fund5 of
from Russi4 Lknne and Bdarus. With ten etllatl￿. Ii ￿v¢S scientists the freedom grd sup- £89,043, compaied Lo £2.tl]O in 2021.
positiolls, eath for three years. It is the largest port todedl¢aLe themselves to researchfull-tirne.
Our Teserves policy is io nuiulaln rts¢rv¢5 of
proBratntne of lis kind. By the end of the year, There greno teathingora¢&Dilli8trative duues.
wehgd recrwtcd five Fcllows.
at Icast 20% of tht ¢haTity'5 a[￿Ual expenditure.
The Institute¥ aCti￿t￿$ ate outEined JD the At the end of 2022, we held fve reseNes of
ake roorn ftsr otsr arrivak we foll(K¥ing six p4ges. Each page describe5 the ac- £6l,798,conipat¢d 10£180.199in 2021.
early doubled our space in the Royal Institu- tiiitte5 associatcd with unr of the fi)llowing 5ii
We Tcceivcda substantial 8TatLt dutins2022
tioD. We are using ont of outlarge newzoom$ then￿S.. rcstarch, p¢ople. hndin8, coID]nuIiic&- which was mostly deferred to 2023. The
a$ a 5emiDarroorn, whichsiKnifi£antlyincrea5- tiOll.5pace and cvents.
unrestricted elell￿tt to this grant was greatet
esour convening power.
The Instimie is a charitable company limit- than £4W.000 which covers wejj in excess of
Scienttfic discovery i5 our matn hcus, and edby8uaranle¢ and is governed by LL* Artlcles 20% of the charitys annual txpertdirure.
thts yedr saw br¢akthroughs in areas t¥Ag-
ot As50ciatioJJ. Th¢ Tru$i¢es of the chatiry are
Htstorically. our main riskh2sbeen a short-
in8 frorn quantll￿ field theory to Ai-assistrd the Directors and Memkrs o( the iompaAy. age OF unrestrÈcted fund5. This was because
m&the[n￿1(S. To better b¢n¢hsnark our IE-
TrLtstee5 are elected by ordinary resolutlon on rno$t srant-giving agencies offer impracricabk
search PTDgre54 WE started wetghin8 our pa- the basis of their capability to advaknte the ac-
pets bythe fiailion of authorswho wDrk at the
ittJite¢t costs rates, knowtTrg that wiiversities
tie$ofthe Institute.
vnstitute.me alsopublished2rticLes in the press
<an make up the shorrfall through the
c¢lei)rating thew41ue of theoretical scien¢¢ ond
ThtTiustee5 meet iThper$oA ¢v¢ryquartci, ￿5￿￿[Ch Excellence Frdn)ework aJLd student
and indiiidua] Trustees meet with the Man- fees.
aIiDounangour new Fellowships.
a8ins Direilor tnore regLdArly. Day-to-day
WtrattcveJ]tsonlopicsrangingfromAI-as-
Ovtr the last few Yea￿ however. we have
Sl5ted discovery to the ￿￿the￿￿ti(SOf£eI1pTo-
d¢¢i$ion-makin¥ is ddega¢ed lo the Manag- sig-nificantly reduced this risk Fir51, we have
irjg Dirertor. The Trustees are aware of the had more cvtpvrale-&PDn50red itsearch
gramKllin& Our conimltrneni to our website
Charity CommJssAon's guldante on public fun(bn8. from bl¢.bl¢ and the BCG Hender50n
paid off wli¢n it was named offte of the top five ben¢fit in deildins whal activitie5 the Insti- Institute.
scietLce websites at the 2022 Wcbby Awards.
te carries out.
SecoD< we hav¢ giarted to attract major
pmlanthiopy. ITh our 2021 4nnual r¢pon, we
anttcipated adding phdaTrthropy to our fund-
ing repertoire. Sure enough. in ?022 we raised
over £3m tQ 3UPPOrt our Arnold and tAlldau
Feiiow5hips. aftd we rKeived our first ￿ftS for
OL￿ endownient fr)rjunior fellow&
Declaration
Ttt ¢omptlJngthisannuaJreFOrtthettwl¢eswn.
firrn they hdve ha(( rodaTd to the ChaTity Com-
illi55ion5wudaJK¢ 0]) publi<b¢rtefitandthatthis
report complies with the Challry C¢tnrtth5xbns
Statejnent of Reconuncnded Prartice. The trus-
ieesdedare thQttheyh￿r approyedthts ret
IIGif (yl
nL(Oh,,..) _j ,
SigLed onbd)alfofrhetws*esby
?(A
Ls,)
DrThomas Fink
DsreclorandTrn$tee
11 May2023
Mthler tneasure fiorn number theory 1$ used for the first till)¢ in physics. yielding-mahler tlo
whith exiryolate5 different phases in QFT.

I￿On knslitute formaihernatical Scienc
Accounts foi theyeat ended31 December 2022
Research
We continuously track the quality of the papers
we publish, and have set ourselves a target of
doubling our research output every two years.
Our researth spans four main themes: math.
ematlcs thai tinifies.. the e]egant tsniver5r. ]Ite,
learnins and eM￿SE￿{e.. and the theory Df hu-
man enterpiise. tn 2022. most of our resear¢
was ott the $e¢ond ¥nd third ihemes. The top-
ics of our pubb"cations tange from advances In
4uantLUn fidd theory. to alternative fot]ll5 Qf
computing, to ma¢hkne learniti8 In 8eometty.
In 2023. we will Add puKe m4thematic% to the
lia.. of our five Arnold and Landau Fellow$ re-
cruirea 50 laT, thiee art maihcinaliaans.
To better benchmaJ* out res¢arth 2022
we started wei¥hitt8 our publishÈd papers by
Ihe (raciion ofauthors thatwork#t thetnstitutr.
Ilys ¢nsure$ that the numbtt ol organis8llons
that lay daim lo a Fapcr adds up to onc. inti.
mately, this wdl alIiJw us fairly to compare our
researih perfornwicewiih tkat of otherplac¢s.
Ourgoaifortheforeseeabl¢ tutureis lodou-
ble our ￿￿earch output every two years. Our Cirtuits of memilstors, resistur$ meThwry. can ¢xhibAt instabitities which a]loWd&￿ICal tuD-
unit of measure is tbe author And S0￿Ce nor-
malised in]pa£t per publication. or ASNIP. I
ndJingthrou8h poteniiaj ener8ybarrier&
2022, OUT target was 20ASNIP poiTrt& In 2023,
Itwill be 28. OtteASNIP poSnti$the equivalent
of 4t￿iCal papers.
,(1-7,
--7oxl'lls-
IfKryr
L.,
Selected papers
Jotlrnol ofthe Ameri¢od MoÈhemalT¢alSoGiYty
PhyKcal ReviewE
Bounding Zarembas conjecture
Optimal electronic reservoirs
UsingmdhLthrdatedtotheBourgain-Gambutd
tKRchiDerefinesthepreviousboundonZar¢uJbls
miectutein thetheoryof continuedfraction&
Balancingtn¢[ThoryttutnlinearcvtnF￿ellts￿ith
nonlineatities ftojn mejlliisiots optiTnises the
¢omput0ti0ttai¢*pacityofeiectrottlcreservoi
CoMMUNtcatiorts MdthemrtticalPhystcs
Journal ofHigh EnergYPhy5ir5
Gauge theory and integrability
•l.i Mahler measure for qulvers
MAlJermeasurefromnumbertheoryisusedfor
thefirst li￿e in plyics. ?ielding"Mahlerflo
whlth extr4)olates differentphases in QFT.
The algebrn ¢f a torlc qulver gauge theory re-
covers the Bethe ans&tL ttvding the rdauon
bel￿￿ gauge th¢oriesandlntegrable wterns.
Phy5iC5 IdtsT5 B
Machine leaming Hilbert series
I.￿,....1 Phy￿(aIR￿viy￿ D
Calabi-yau anomalies
Neural networks fittdeffiaenr waysto compute
th¢ Hiibert serie5, an important couniing fiuK-
tioninal8ebiaic8eometyand gauge theory.
Utwervised machu]e-leamiDg of the Hodge
nUmbetsofL￿ab1-yaUhYPClsUrfaffSdetectsneW

London Institute for Mathematical S¢iettces
Accounts for theyc•r¢nd¢d31 Dec¢mber2022
People
We filled five of our ten Arnold and Landau
Fellowships and recruited two key members of
staff: an office coordinator and a science writer.
Oui Teiruiknent drive in 2022 was cent￿a on
¢ur 10 Arnold andLattdau Fellowships. Trilling
lÈn research ptssts in a year is a majoi tsnder-
iaking, especially for a srnall organi*ation. But
through word of mouth aDd our significartt
press coverag& byyearsettdwehad90 applica-
tion& We did a fiTst-8iage lttteryiew with 20 of
th¢se. thd then mettbe mostpromising per-
son. which often involved traydling ¢0 a mu-
tually *cie55ible country. Ry the end ol 2022.
we had made five appolniments. and two new
Fello￿ had artiyed.
Outside of researth we f￿ed two straW"c
role5. Th¢ fit5twa5 an office(￿diDatOra￿da$-
sistant to the director. Wt hrlcotned Alana Ker
Marer in Septetnber 2029 A5 welt as orc1￿.
ttating the athiiities of our xicTrti5ts and.%taff,
She also liais¢5 wilh the Royal Institstion. with
whomwc continue tOWOTkmore cl(kdy.
The second post we filled was a fu]L-time
science writer with & matb¢mati£al back-
ground. Itk D¢c¢mbet 2022 we welcon￿ Dr
Madeleine Ha]I, who has a PhD in mathe-
mailcb. Her work conjplements the writing
and joutnaiism dolle by out pait-time silence
writer.Thoma5 Hodgkinson.
Th¢ London Institute hosts a day syrnpostum on usi￿8 Al to speed up mathen￿tiCal discove
foJLow¢d by a panel discussioo. dilnks and dinner.
People
ARNOLD FELLDW
LANDAU RESEAFiCH FELLOW
Ilya Shkredov
Alexander Ochirov
Pro£Shknedovi%anArnold FellowotLIMS and
a rnember of the RiL4sian Academy ofSciente&
Hework50n llumbertheotyandconjbinatorics.
Dr O¢hirov is a Landau Reseatch Fdlow at
LIMS,havin¥previoustyworked th Oxford and
Zurich. I￿S resEarchison quantumfie]dtheory.
SCIENCE WRITER
OFFICE COORDINATOR
Madeleine Hall
Alana Ker Mercer
Dr Hau is a science writer at LIM& wbere she
writÈs for the press and our website. Hci back-
growiitil Jn tnathematicalbiologyresearch.
Miss Ker Merttr 15 the wordinator aud assis-
tant to the D1￿ctOr,with experiÈnceittEJ]gIith
Ilterature 2nd htstory of arL
suFrtMER UNDERGRADUATE RESEARCH FELLOW
Tim Zhang
Tim Zhang wès a sumtller undergraduate re-
scar¢h fdlow al Lurfs. He worked on i]nple-
menting modelsofgene regulatorynetworks.

IAithn forM4the]naticalSciences
AccouThts for th¢y¢ar ended31 December2022
Funding
Thanks to the generosity of our donors, we created
ten three-year Fellowships for outstanding theorists
affected by the war in Ukraine.
WitTrlln two anda tLalf]nonths ofthestartofthc
ITh Ukraine, we esiab]ished teTr three-ycar
r*liowships for le￿ing theoreti<31 physicist5
and mathtmaticians lts)m Russia. Ukna￿e and
Belarus. Led by our Directur of DeVelOp￿e￿I
we rdisea over frotn ￿On￿￿O￿ donors.
A5wellas achance ta hdpsclentistsarfectedby
thecontlicl, theprograrnme is aonce.itt4-gen-
etationopportunitytorecruiibtilliaottheDrittS.
Our five Arnold Fellowship$ are named aftet
the ukrainian.knrn rAathematiuanVladlmlrAr.
nola. OurfiveLandau fello￿￿￿1p& ate named af-
terLcwLandawtheNLthlprrLtrwlnnll)g R￿latt
physi¢itt. By theend of the pr, we bad ¢rc¢ived
applicatiOll5 a[￿ appointedfive Feuo
Mcanwhile. with Killls College London
we won a Research Project Grani from the
Leverhulrne Tru51 foi work on iosiiiology. Wr
r¢ceived the fiist donations lo our Tombrcllo
lunAor F¢lluw5 end0￿￿￿ent, whicli we are rais-
Our Arnold and Landau Fell￿￿hiP$ contirtue a traditioll ot contact atO collaboration b¢tw¢en
irlg with Calteth5 help. The BCG Hmd¢rson British andRussian scieThiists.
rnstimte gave u$ a one-yw sraDI for rese¥r
Al-assisteddiscovery, andourfundingfrom
the Catnbrid8e cell progtaminlThB company
bltbio continued irAto its third yeat.
Arnold Fellowships
Landau Fellowships
BCG Henderson
Anonymous donors rnad¢ a transformative
FoJL05bung the estsblishment of the Arnold The BCG Hendetson Institute invest£d in re-
c¢niiil>uiion to e5tablith five three-ytr4r fel- Fellowships, we have raised nlltched fund-
search ott AI-assl$ied math¢ll￿tical di3coYery.
lowship$ for theoreticaL physicists arld math-
ins from anonymous donors to establish the As well as supporiittg Iwo of our researthers,
¢mafiiians ttum Ru5b"ia. Ukraine and Belarus.
Landau Fellowships. Natned after the Nob£l the fitndsng weni iowards a conference thai
Th¢s¢f¢llow$hip5 are named afterthe U￿r￿￿-
laureate Lev Landau. these fellowshlps ale brougbt together r¢searCh￿S &vm acudemia
ian-born mathem2ticiatt Vladimir Arjjold. for five outstanding theoretical physicists attd and industry. The BCG Hcndcrson lJJ5titllte
We are grateful for the opporiunily to recruit mathemAticians from Rus$i* rv wvrk al the is the think tank of B(>5ton Consulting Group.
world-class talentfrom tiiese counirles, whi¢h London Institute. Thank yr>u to our donors. 4pplyIn8 iTrsi8hts froffl acadernic disciplines to
have an excepts'oD&I record of discovrry ill the wbose geneD)us suppori will sh¥e the fllturÈ the strategi¢ ¢hallert8es facing business, 80V-
mathematical $¢iences.
of research ot our Institute.
¢rnm¢M and so¢i¢iy.
Leverhulme Trust
blt.bio
The Lottdon Institute won a Research Pro- Bit.bios invesÉtnent in the London Enstitute
ject Gralll frotn the LeVerh￿ltne Trust to has ¢ontlnued for a third year, supportitLg
do research on mathitte learrtin8 applied to
multiple PO%L*. Over the coming year, we will
string Cosmology. Ihe grani. which is joillt fftnvesiigare Ihe mathemarics ol experimental
with Kintys College London, is For two year5
design, AI-assisled al￿0very of rcpToÉrom-
and will support a POSLdoc At th¢ Institute. ming set5, and simple modds of cell pro-
aLnong other thiThg3. The ILverhuimt 'lrusl 8raTninin8 that are exactly sohTable. Bit.bio 1$
is a UK-based organi5ation that funds grattt$ a $yntheticbiology cojnpany that repro8ran)s
for ortglnal aod sisnificatLt research acr055 ell human cells fo[ use in re$earth, drug discov-
academicdisciplittes.
try and c¢ll Iherapy.

London T4]stitut¢ ftst M&then￿tiCal Sciencal
Accounts for theyearend¢d 31 DecembÈT 2022
Communication
We published essays on our new Fellowships and
the value of theory, and we were named one of the
top five science websites at the Webby Awards.
More than research orgdjjisations, we in-
vest in ourivebsiiv lo ensure1¢ is cltar, cornpel.
Iins and up-to-daie. In 2022. for t￿￿￿p]e, we
upaaled VUT Site's vnderiying grid to enhallce
Its mDduIar design. attd w¢built ollrcollection
(pf blackboardg on our IanduLS We add.
ed a new se¢tlon to showcase our rooms lrt the
R()yaI Instimtion. and another to describe our
Arnold and Landau Pl￿ts. We also improved
our Inlerfacewith Social mcdia.
OUT dedicatioll 10 OUT Site was rewarded
enwew¢r¢natnedatthe 2022WebbyAw￿5
as one of the five besi $aen<¢ websites m the
world. Thi5 Pla￿ us ￿ongSide the likes of ScT-
encetnagazineand NASASolarSystem Explora-
tion. In an e&wcalIed"DesigningWebDeslgn."
we de$ciibedihefiYeprlnaplesgviOingour$ite.'
simpts"aty. dattty, continuous evolution, modu-
larity aRdrecuNYelYdibi￿￿legr￿dS.
The press took great intertst itt our Fel-
lowships for $dentists affected by the war An
Ukrain* Wehad41ticles Èbout them in Nature.
The Times and The DRtly Telegr4ph. Be(ore the
Nobelceremonies.wewroleln Ike TimÉsabout
the vaLue of theoretic￿ re8carth.
Our webstte bas nomlnated for the besi $¢lence website in th¢ Webby Awards-haijed the
"iJLt¢meCshighest honol, by TheNew York nmes.
Selected articles
8 DEC 2022
10 O¢T 2022
The beaLrtiful game
Landau lives on
The beautifi￿ game of m*themaricE. affeler-
aiing disifflrry by seeills patterns #mong the
patterns, deserves a Nobelptize all ofils omm.
CreatiDg Fdiowships fot scitnti$15 affected by
the war in Uktaine will not only help them. It
willa150 be amajorknwLforBritish Kienc¢.
40CT2022
12 OCT2022
Boost for British science
Russians welcome
In NAture, the London InstLtute argtJe$ that it$
fivcnew Resvdrch FelIowships for Russtan the-
orists will be a boost for British science.
In a letter in The Tlin￿, vur Directot Thomas
Fink edLoes BiThsieiils support for lii)Èrty as a
Pr￿n(lIt[0￿0f0tIsjndj thouort.
1 JUL2Q22
19 MAY 202?
,. tbt¢tltyrapD
Hislory repeals itself
From Russia with math
The Royaj Instilutionsupported s(ienti$tsllee-
ing 19305 auihoTitarianisrn. Now. thanks to
ourAmold FeJIowships, history repe3ts itsel(.
Cbt¢tltgr￿b
story$uggestsournewptsstsfOrE&￿kl$i$alld
ath¢maiithans frorn Russi4 1]kratne and B(4a-
rkis willhavean endtyin8impaci on UKscie[￿L

iA)ndoTh Instituie forMathemati¢alSclences
Account5for the year ¢nded 31 Decembei 2022
Space
To accommodate our growing team of scientLSts and
staff, we doubled our space in the Royal Institution,
making us their anchor tenant.
We believe in the power of Presence, arld all
of our scientists and staff work tn the build.
ing fivv days a wedL To make space for our
growins team, art 2022 we Tented thtee n¢w
room$ In tht Royal Inslitutloll. This ha$ Dearly
doubled our space, making us the Royal Insti-
tions *nchor tetta￿t.
o of our new rooms are large rooms on
the second *]oor, 3djoinin8 our original of_
fices. These formed part of the privaie apart-
tThellts of past Royal ID5titution direcio15. We
call them Braggs Dlning RI￿)M a￿d Tyttdalls
Parlour. On the ihild floor we took a
that oncÈ $eTved #s a guest room for visiting
lectureis, which we call Davls Attic.
We are using the bi88est ofour new ro(
as 4 serninar room and to host meeting$ of
young researd￿r5 from the SUriDunding uni-
vetsitie5. It cart accommvdale50 people.
To It￿{¢ ihe ￿terior ofall of out rooms re-
¢<t rhe magllificence of the disroveries made
rythin them, we are developing platt5 to refur-
bish them with the architects Dortaid Insall.
Their expertise in Grade I JJ"sted buiIditt85 will
ensure that we update our sp4ce in a Swdy that
respects itshtsiorlul siBnificance.
Wdve dDubledour$Faceatthe Royal Ill5tltution. Ournewroornsinclude Faradays drawrngtoo
xnd the guest room for ChriStn￿$ Lecturers.
Our rooms
Old Post Room
Faradays Study
Where tlLe m2ii oftheRO)dJTr￿l￿tlUTr wasonce
sotte&oursaenO$t5 nowmeetfora tha¢ acL4t
and dem(XLStration$onthebiackboar&
This i.* the room in which, afvet a hard day in
the iabotatory, Mkhad l*rdday would wtile UP
n￿1tytheTough notes he bad made earlier.
Bragg's Dining Room
Tyndalls Parlour
WheTe1ohnTyndalirJ￿￿al￿￿1Cha￿kndaY
readaloudfrom Sh8kespe*¢wehostoDrweekiy
meetyJg5withthelx)ndonTh¢oryInstiuire.
Ihe diiiing rootn ofthe resid2ni professors has
playedhostw di5tingui5hedEpeaker& inJudill8
Guglie]nx>Ma￿QnianaL0rd IUJthetEord
Rumford Room
We have rtamed our Direc￿￿5 study the Rum.
ford R￿rn. In honourof thc bri￿.a￿t, mercurial
fi)underoftheRoyaiknstitution,CountRunthr
on the third t]¢ot have S¢￿ed bed.
to Humphry T)￿. Michad Faraday,
atMl5aentistsdetiv￿lDS (J)ris￿LeCture5.
Porter Wing
Whtn theTheatreblewupitt 1927, it r)fferedthe
thatjce fvr a rebuiid-leadujg trj the crEation of
theserooJnsi>ntheiwllding'$ casternsi&.

London Instihrte formatheMatic￿ S¢leTrces
Awounts fortke yearended 31 Dec¢rllber 2022
Events
We have contributed to the Royal Institution's
programme of events with seminars, public
lectures and our largest conferences to date.
The RuV￿ Institution is a world.l¢ader in
the liv¢ communltation of Kitnce. In 2022
we coniributed 10 its programme with a pro-
sramme of our own.
W¢hosiedconkteIl￿5Qn AI-ossisitdmath.
em&tical diKovery and the mathematics of cell
programmins. With theaddition of a dedi¢aled
se￿Illarr00￿toQWrOtsmsInf￿eROYalrnstitu-
tlon. we were able to hDSt more iolks, for larger
auaiences, vnsubjects rwing fromblackhole5
to ttubuIcn¢t to the gtrllrture olinni)vation.
We started hostingwteklylcctures on cur-
rent topi￿ in theoreiicai physl¢s for youn
researchers frorn the London universitit$, i
partnership with the viitual Lottdon Theory
In$tltute. This is an opportunity for FhD st￿-
den15 andpostdocs frotn dtfferent universiiie.s
to network on neutral turl. It also offers us, in
the absence o(&ludents, a chan¢t to scout for
emtryng talent.
&nce Int£rF1￿ing Sir Roger P£nro8e inthe
Lecture 1healre at the end of 2021, we hav¢
CDntinued to provide content for the Royal In-
$litution'spubliccveJJts. Aswegr¢w.wehope to
progress beiThg an occasional coDtribulor
robeingont tbe Ropl InstitutiOll5 rnainstays.
Cellbiologigt and bit.bio founder MarkKotter explainshow breakthroughs in progratnming¢e115
artkicking off a revolution.
Selected events
5 DEC 2D22
28 OCT 2022
Strong turbulence
Al mathematics
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London In51iWteforMathematral S(i2n2es
Accounts fortheyearen(*d 31 December2022
2 Independent examiner's report to the trustees of London Institute
for Mathematical Sciences {"the Company")
I report to the chartytrustees on my examination ofthe account5 of the Companyforthe year ended 31 December 2022.
Responsibilities und bosis of report
As the charlly's trustees ef the Company land 3150 Its
directors for the purposes of ¢offipany lawl you are
respon51ble for the preparation of the accounts In
accordance with the requirements of the Companie5 Act
20061'the 2006 Act'l.
Independent exominEr's stotement
I have completeij my eKamlnation. I confirm that no matter5
have come to my attention in connection with the
examinatitsn 8ivln8 me cause to bèlieve-.
lil accounting record5 were not kept in respect of the
Company as required by section 386 of the 2006 Act,. or
Having satisfied myself that th¢ acwunts of the Company
3re not required to be audlted under Part 16 of the 2006
Act and are eligible for independent examination, I report
in respect of my examination of your charity'5 accounts as
carried out under section 145 of the Charities Au 2011
I'the 2011 Act'l.
lill the accournts do not accord with those records- or
liiil the accounts do not comply with the accountin8
iÈquirÈmerbts of section 396 of the 2006 Act other than any
requirement that the accounts give a 'true and fair view
which is not a matter considered as part of an Independent
examination,. or
Sin¢e the comp3nWs Bross income exceeds £250,000 your
examiner rnust be a member of a body listed in sethon
145 of the 2011 Act. I can confirm that l am 4u2lilied to
undertake the examination because l am a member of the
Association Of Chartered Certified Accountants. which Is
one of the listed kH)dies.
Ilvl the account5 have not been prepared In accordance wth
the methods and principles Df the Statement of
Recommended Practice for atcountTng and reporttng bv
charities.
In carrying out rny examination I have followed the
DirÈ¢tions given bythe Charity Commission under Sedion
145151 Ibl of the 2011 Act.
I have no toncerns and have come across no other matters
in connethon with the examination to which attention
should be drawn in this reporr in ordèr to enable a proper
underst3nding of the accounts to be reathed.
Mr Mark Curnmln5 FCCA FCIE
for and gn behalf of
TC Group
The CDurtyard, Shorèharn Road
UppÈr Beeding, Steynlng. West Sussex
BN44 3TN
Date=

London ￿$￿tUte lor MathematttslSdentÈ5
Accountsfortho yearended 31 Decernber2022
3 Statement of financial activities
Unrestritted Restricted
2022 (£)
2022 f£J
Totul
rotul
2022 (EJ 2021 (EJ
The statement of financial
actrvities includès all gains and
losses recognised in the year.
All income and expenditure
derive from continulng
activities.
Income
D(Fnations & legacie5 lsee N.41
other trading activity lsee N.4
752,107
117,437,
869.544. 669.505,
40,000.
40,000..
792,107,,
117,437
909,544 j 670.505
Expenditure
Charitable athvities (see N.51
910,5081
910.508.,
30,394
940,902 i 831,377
940,9Q2
831,377,
30,394
Net Incomellexpendlturel (see N.61
Trdnsfer5 between fund5 (see N.111
1118,4011
87,043
131,3581 1160,8721
Net movements infund5
1118.401
87,043
1313581 1160,8721
Reconciliution offunds
, Totsl funds at ljan
180,199.
2,000
182.199,. 343,071
150.841 i 182,199,.
Total funds at 31 Dec
4 Balance sheet
Fixedo55ets
2022 f£)
2021 (£J
For the year ending 31 December 2022 the
tompBny was entitled to exemption from audit
undÈr 5pcknon 477 of the Companies Act 2006
re13ting to small companies. The members have
not required the company to obtain an audit in
accord8nce with section 476 of the Companies
Act 2006. The dirèttors acknowledge their
responsibility for
complying
with
the
reqU1￿mentS of the Act wlth respect to
accounting records and for the preparation of
ac¢ount5.
Tan8lble assets (see N.71
Investment in subsidiary (see N.Al
5.225
5,680
loo
5,325
5,780
Ctsrrentassets
Debtor515ee N.91
Cash at bank
1,519,897 1,485,053
1.340.524
145,934
2.860,421 1,630,987
The accounts have been prepared irt a¢cordance
with the provisions applicable to companies
subject to the srnall companies regime.
Current liobility
Amount falllng due within one year Isee
| N.ioI
12.714.9Q51,' {1.454.5681
The ft"nancial 5t3ternents were apprnved by the
Trustees on and sl8ned on their behalf, by
Net cur￿nt assetsllllabilittesl
145,515
176,419
Net Q55ets
0,841
182,199
Thoma5 Fink
Compary Reglstration No: 06814771
The notes on the followlng pages are part of
these financial statements.
Chorltyfunds
Re5trirted (see N.111
Unrestrirted15ee N.111
89,043
2,th)0
61,798
180.199
150.841
182.199
io

Lonthffl WfjtrLUteforMathernafjcalSC￿tKeS
unts forthe ￿ar*￿ed 31 Oecember2022
Notes to the financial statements
N.1 Company status
The London Ins￿t￿le 15 a company Ilmited by guarantee and reglstered in England and Wales. The members of the company
are the Trustees. In thè event of th@ company being wound up. the liability is limited to £5 per member. The Institute meets
the defrnition of a public benefit entity under FR5102. The specitic publit benefits can be found in the Tru5tee5' Report.
N.2 Accounting policies
Busis of prepurotion of finuncial stotements
The flnancial statement5 have been p￿pa￿d In accordance
with the Companies Act 2006. the Charities Act 2011 and
Accounting and Reporknng by Charities.. Statement of
Recommended Practice applic3ble to charitr.es preparing
their accounts in accordance with the Financial Reporting
Standards IFRS 102, effecknve Jan 20151. The financial
ststements have been prepared under the historical cost
Conven￿On. The Lgndon Institute is exempt from preparing
group accounts In accordance with 5402 of the Companies
Act 2006 and the Charities SORP IFRS 1021. The functional
currency of the charity 15 British pound Sterling. Itcms in the
accounts are rounded tg the nearest pound.
Fund uccounttng
Unrestricted funds are funds with no restrlctions and ean be
used for the general objectives of the company. Restricted
funds are funds which have restrictions imposed by donors
or which have been Trised ty the company for parricular
purposes. The transaction5 relating to such funds are set
against each separate fund and no other. The airn and use of
each rèstricted fund 1$ Set out in Note N.11.
Income
Incoming resources are included when the charlty ha5
entitlement to the fund5. probabllity of receipt and the
amount can be reliably measured. other trading income is
recoenised on an accruals basis. excluding walue added tax.
Tanoiblefixed ossets unddeprÈcNotion
Tangible fixèd assets are stated at C05t less depreciation.
Depreciation Is calculated uslng a 20% 5tréight line for the
leasehold property. fixtures and fittings and 33% straight line
for the trffi￿ equipment.
Foreign currencies
Monetary assets and liabllltie5 are translated into sterlin8
using thé tlosing 5POt rate at the balance sheet date.
Transactions in foreign currencies are translated into sterling
using the spot rdte on the day of the trar15actions. Exchange
gains and losses are shown in N.5.
Debtors
Trade and other debtors are reco8ni5ed at the settlement
amount due. Prepayments are valued at the amount
p￿paId.
Expenditure
Expenditure Is accounted for on an accruals basis and has
been aggregated Into relevant expense categories. Research
activtty costs are Iho5e costs incurred directly in support of
the Institute's obj@cts. Support costs are those costs
incurred indirectly in support of the Institute's objects.
Governance Co￿5 are thosE incurred In connethon with
administrats.on of the Institute and compliance with
conslitutional and statutory requirements.
Creditors ondprovi5ion5
Creditors and provislons are ￿c0s￿l$¢d where the InStit￿e
ha5 a present obligation resulting from a past event that wlll
likely result in the transfor of funds to a thlrd party and the
amount dL¢e can be reliably measured.
Investrnents
Investment5 in associat@s and subsidlaries are a￿oUnted for
orn the historic cost basis for the equlty held.
Cush utb17nk Dnd in hond
Cash at bank and in hand includes tash and short temi
highly liquid snvestments.
li

Londo￿ In%knte fcrMathemattcaISt￿￿ce5
Acco¥nts forthe yearended 31 DecembÈr2022
N.3 Going concern
The Trustees believe current and future exptrted incorne will allow the London Institute to continue its activities. Therefore.
the financial statement5 were prepared on the basls that the Institute is a goinB concern. The Institute has a surplus on
unrestricted funds of £61,79812021.. £180,199).
N.4 Income
In¢¢>mefrom donotions
Unrettncted2022 (EJ
8.906 '
Restrirted2022 f£)
Tott712022 f£J
Total 2021 I£J
Donations
10,479
2,798
i Grant and corporate
743,201
115.8641
859,065
666,707
752,1071
117,437
669,505
Incomefrom other troding odivitie5
Fee income
40,000
40.000
Lecture fee income
1.000
N.5 Expenditure
StGrff costs (EJ Depreci(7Th0n (£) othercosts (£} Toto120221£J Toth12021 I£}
Research activity costs Idetsiled below) j".
438,758 i
27,064
465.822
409,084,
Support costs Idetsiled belowl
200,911.
422.293 |
831,377
5,011
269,148,
296,212
475,080 '
639.679 1
5.011
940,902
12

London For MathEmatsl stien￿5
Account5 forthe year ended 31 December 2022
N.5 Expenditure {continued)
Resetsrch uctivlty costs
' P05tdocs
2022 IE) 20211£J
2,988.
51.933
283,601,. 188.232 ..
99,208
Support costs
2022 (EJ 2021 (£J
175,930. 215,534.
l Administratr-on salaries
Fellow5
Depreclation
Rent
3,704
Developers
Consulknng
Travel
212,924 1 137,592
3,543
Bookkeeping fees
' Sundry expenses
Bank tharges and interest
6,112
19,744,
8,672,
32,396
116,2121 115,69Ql I
17,047
. Employers national Insurance
Employèrs pension
IT software and consumables
20,529
National insurance
22.479
26,704
3.6001
1,7511
14.061
3,585
2,311
Independènt examiner's fee
i Utilities
. BOO￿ and Sundry
193
696
465,822. 409,084
Repalrs and renewals
2,490
Cleanlng
Legal fee5
493
Governance costs
2022 (E) 2021 {£)
22,375
16,312.
Independent Expminer, fees
Legal fees
3,600
3,600.,
j Rates
Insurance
3,406
16,312
L7601
1,211
25,975
19.912
Telephone and internet
754
Prlntin& Stationery and posta8È
' AdVe￿$Ing and publication fees
Recruitment*ees
1,306
1,176
Stoff costs
20221£1 2021 (£J
561.727 551.699 1
S4,610
47,420,
33.040 i
Wage5 and salaries
Soclal SecUr￿Y costs
Pension cO￿S
72,755
59,100.,
24,170
Penslon costs
2,513,.
5.197
i Subscriptions
629,679: 634,969 ' 1 {Profit1￿0s$ on disp. fixed assets
Forelgn exchange lossllgalnl
i Research & development tax credit
, Event costs
3,032
1,835
4.356
196.7031 186,488)
41,528
Fines and penal￿e$
438
475,080,, 422,293
Three employoes received total employee bènefits In excess
of £60,000. Senior management consists of 3 individuals
12021-. 11, with siaff costs totalling £329.082 12021..
£292.4721. The Institute'5 Arkncles allows Trustees to be paid
for services to the company. and Trustees were paid Ehlil
and no expenses were reimbur5ed12L121.. £Nill. The average
Monthly nurnber of employees during the year was 3
research 5taff12021.. 61 and 4 administrative stafFI2021- 31.
The independent erdminer was paid E3,60012021.. £3,60QI
for examinlng and £NII12021.. £Nill for Dther servlces.
13

lo￿0￿ InsEl¢UteforMathem*cal *ence$
AcwuntsfortheyparEnded 31 Deternber2022
N.6 Net income & expenditure
The nrt income and expenditure in the statement of financial athvities 15 Stated after th3r8ing'.
202?LI _ 2021_1£1
5,011
3.704 1
Depreciation cf tan6lble fixed assets
Independerlt exarniner'5 fee
3,600
N.7 Tangible fixed assets
N.8 Investments
Le05ehold
Fixtures &
property{£J fiItFngs (£J
189,537".
Office
equip. f£J
Cost
Tottrl 1£)
250.624 i
4.5571
1189,5371.
Investment
2022 {£) 20211£1
loo
As at l Jan 2022
47,749
13.338
. Subsldlary
100
Additions
4.557
loo,,
Disposals
1189,5371
At 31 Dec 2022
17,895,,
65,644
Subsidi(Fry LIMS V8nture5 Ltd
On 2 Nov 2015 the Ins17tute set up its
trading subsidiary, LIM5 Ventures Limited
Iregislered no. 09851506 and registered
office 21 Albemarle Street, London.
England, WIS 4BSI. and subscribed to 100
ordlnary £1 shares. The charity holds lOO%
of the issued Share capital. The company's
accountg for the ye4r ended 31 Dec 2022
showed a total deficit in reserves and
share capit31 tsf £6.111 12021.. £4,311
deflcltl.
Depreciorion
.'AsatlJan 2022
189,537
47,520
7.887
244.944
Charge for the year I
On disposals
228.
4.783
s.oil
1189,5371
1189,5371
60.418
At 31 Dec 2022
47,748,.
Net book vulue
At 31 Dec 2022
5,225
5,225
.' At 31 Dec 2021
5.4511
5.680
N.9 Debtors
N.10 Creditors
Debtor5
2022 f£) 2021 (£)
73.125
35.260
105,665
109,4341
Owed from group undertakings 1,340,359 1.340.359.,
Trade debtors
748
Credittrr5fvlling due kvithin the yeor
Bank loans and ¢)verdr3fts
2022 (£J 2021 {£)
758
Rental deposit
6.155
Other debtors
Other loans
372,637
398.237
Trade cr2ditors
8.774
3,186
Social security
VAT
303,753
287,289
1.519.897 1.485,053
227,264
243.86S
Other creditors
224,682
282,915
Accruals and deferred income
1,577,037
232.921
2,714,905 1,454,568
14

iondaD In5tttutefor mathema￿Cal Sdences
AcroknTris fortheyear ended 31 DErernker 2022
N.11 Restricted and unrestricted funds
Restrictedfunds
un￿strictedfU￿ds
Restritted funds are externally restrlcted In use or
purpose.
Unrestricted funds bear no external re￿rictionS in use or
purpose.
Restrlcted funds are accounted for and reported
separatelv.
Unre5trirt@d funds are pooled and spent in accordance wlth
the charitys objectives, as determined bythe trustees.
The Instftute has five types of income which contrlbute to its ￿$trIcted and unrestricted fund5. The subtota15 for these five
streams help us see which fundraislng effDrt5 were effettive, and how best to adjust course for the year ahead.
Income rype
Grdnts
Foundadtsns
Corpora&e
Don3tions
Othertrndin8
Income given...
for research after wnning a cornpetits.on
not for research after winnin8 a competition
for research the absence of a cOmpe￿tron
notfor research In the absence of a competition
lor office and room rentsl and other athvlty
Forreseurch Competitive Restricted vs urRrestricted
Mix of both
Mix of both
Typic311y unre51rfcted
Varies
Unrèstrlcted
Broyghtforwurd
l Jon 2022 {£)
Restrictedfvnds
Curriedfvrwurd
Tmnsfer5 31 20221£J
Income
13.641,,
16,753.
Expenditure
Anon C
13,641
Anon J
Grdnt5
16.753
' Edward Har¥4St Trust
i Tom Tombrello
85,470.
Oonaiions
, Tom Tombrell
1.573
117.437
30.394
89,043
Unrestrictedfvnd5
25,846,.
82,180
Grants
.AnonJ
Donations
. Various
8,906
910.508,
61,798
Other trading Boston Consulting Grtrup
Corporate
BItBio Ltd
180,199.,
90,571
584,604
180,199
792,107.
910,508,,
61,798 i
Tottllfvnds
i Re5tTlCted fund5
117.437,
89.043
Unrestricted funds
180.199;.
792,1071
91tI,508
61,798
182,199,.
940.902 .
Source
ShDrt nome
long nome
Anon J
, Anonymougj
Anon C
Anon C
Anonymous C
Edward 4arvist Trust
j Edward Harvlsi frust
Edward H3rvistTrvsE
15

London Institutsfar MatheMa￿tal Sdences
Act￿15 loithei*arended ai DecEmber2Q22
N.12 Analysis of net assets between funds
Unrestrirted
2022 f£}
Restrtcted
2022 {£J
Total Unrestricted
2022 (£1
2021 1£)
Restiicted Totalfunds
2021 1£)
2021 (£)
. Fixed assets
5,326
56.4721
61,798,
5,326,
5,780
5.780.,
Net current assetsliabilities
89.043,,
145,515
174,419.;
176.419.
89,043
150.841
180,199
2.000
182,199
N.13 Related party transactions
Included within other creditors is a balance of £91,582 12021.. E165,371) due to Dr. Thoma5 Fink, Director of the london
Institute. which will be drawn down from year to year.
During thè year, the London In5titutÈ invoiced LIMS Ventures Limited15ee N.41 £nil in respect of accountancy services12021:
£1,800). At the year end, LIMS VÈntures Limited owed the Institute £1,349.72512021.. £1.340.3591.
Mr. Martin Reeves Itrusteel Is a dirertor of Boston cons￿lting Group. During the year, the London Institute received £90,571
12021.. £nill from Boston Consulfjng Group.
Included within other debt0￿ Is a balance of £104,01212021.. £116,612) due from Benlamln Lynch, director of LIMS Ventures
Limited. Repayments received during the yeir were £12.600.
N.14 Operating lease commitments
As at 31 t)ec 2022, minimum payments to be made in relation to the premisés rental lease totalled £212,92412021'.
£137,5921. Total of future minimum lease payments under non<4ncellable operatin8 leases are as follows-
Leosehold Leusehold
propety
property
2022 {£J
2021 (£1
78.624..
Operoling le05es which expire..
Within one year
Between two and five years
350.999
After five years
350.999
78,624 i
16

tondon InsfftuteforMathematSral $c￿n¢e5
AccountsforiheyeareDded 31 Derernber 2022
N.15 Comparative statement of financial activities for the year ended 31 Dec 2021
Unrestritted Restricfed
2021 {£J
2021 f£)
rott71
2021 {£J
Income
' Donalons & legacles
Othertrading activhv
Tolal income
572,037
97,468
669,505
I,ooo'
I,ooo
573,037
97,468
Fxpenditure
Charltable activlties
613,799
217.578,
831,377
Total expenditure
613.799,
217,578.,
831,377,.
Net income/lexpenditurel
Transfers between funds
{40,7621 1120.1101 1160.8721
Net movements in funds
140,7621 1120,1101 {160,8721
Recontilirjtion offunds
' Totsl funds at ljan 2021
220,961,
122,110,.
343.071
i Total funds at 31 DÈC 2021
180,199,
182,199
17

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