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EPSRC Support by Research Topic in Algebra & Geometry

We classify grants using one or more research topics. Value is the total value of the grants awarded, not the proportion assigned to different research topics, so it does not show the level of investment in different research areas.

Grant TitlePrincipal
Investigator
OrganisationDepartmentTotal Grant
Value (£)
2-representation theory and categorificationMiemietz, Dr VUniversity of East AngliaMathematics 329,519
3d N=4 TQFT'sDimofte, Professor TUniversity of EdinburghSch of Mathematics 881,245
A New Foundation for Statistical Shape AnalysisJermyn, Professor IDurham, University ofMathematical Sciences 202,360
A torsion Jacquet-Langlands Transfer via K-theorySengun, Dr MUniversity of SheffieldMathematics and Statistics 197,905
Additional Funding for Mathematical Sciences : International Centre for Mathematical SciencesKim, Professor MHeriot-Watt UniversityS of Mathematical and Computer Sciences 5,050,000
Additional Funding for Mathematical Sciences: Isaac Newton Institute for Mathematical SciencesAbrahams, Professor IDUniversity of CambridgeIsaac Newton Institute (Math Science) 10,000,000
Algebraic Invariants for Phylogenetic Network InferenceLeggett, Dr REarlham InstituteResearch Faculty 64,069
Algebraic spline geometry: towards algorithmic shape representationVillamizar, Dr NSwansea UniversityCollege of Science 307,189
Algorithmic, topological and geometric aspects of infinite groups, monoids and inverse semigroupsGray, Dr RDUniversity of East AngliaMathematics 1,199,936
An Enumerative Approach to Heegaard FloerRasmussen, Dr SDUniversity of CambridgePure Maths and Mathematical Statistics 244,455
An overconvergent Riemann-Hilbert correspondenceLazda, Dr CDUniversity of ExeterMathematics 52,458
Anglo-Franco-German in Representation Theory and its ApplicationsLaunois, Professor SUniversity of KentSch of Maths Statistics & Actuarial Sci 158,894
Anglo-Franco-German Representation Theory and its ApplicationsGordon, Professor IUniversity of EdinburghSch of Mathematics 11,822
Angular Cherednik Algebras and IntegrabilityFeigin, Professor MUniversity of GlasgowSchool of Mathematics & Statistics 412,154
Application driven Topological Data AnalysisTillmann, Professor UUniversity of OxfordMathematical Institute 2,847,111
Arithmetic Moduli Spaces and Gauge TheoryKim, Professor MUniversity of EdinburghSch of Mathematics 203,014
Artin groups and diagram algebras via topologyBoyd, Dr R JUniversity of CambridgePure Maths and Mathematical Statistics 322,268
Automorphic forms on higher rank groups: Fourier coefficients, L-functions, and arithmeticSaha, Dr AQueen Mary University of LondonSch of Mathematical Sciences 465,129
Beyond Grothendieck's conjecture on Galois groups and arithmetic fundamental groupsSaidi, Professor MUniversity of ExeterMathematical Sciences 370,016
Boundary representations of non-positively curved groupsSpakula, Dr JUniversity of SouthamptonSch of Mathematical Sciences 367,941
Bridgeland stability on Fukaya categories of Calabi-Yau 2-foldsJoyce, Professor DUniversity of OxfordMathematical Institute 522,545
Canonical Singularities, Generalized Symmetries, and 5d Superconformal Field TheoriesSchafer-Nameki, Professor SUniversity of OxfordMathematical Institute 1,298,400
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
Characteristic polynomials for symmetric formsDotto, Dr EUniversity of WarwickMathematics 186,588
Classification of Finite Simple Groups. Groups of even type of medium size.Capdeboscq, Dr IUniversity of WarwickMathematics 352,511
Classifying 4-manifoldsPowell, Dr MDurham, University ofMathematical Sciences 360,068
Coarse Geometry of Groups and SpacesHume, Dr DSUniversity of BristolMathematics 820,375
Cohomology and Actions of GroupsSymonds, Professor PUniversity of Manchester, TheMathematics 415,741
Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and TopologyBaur, Professor KUniversity of LeedsPure Mathematics 2,554,972
Complete reducibility in algebraic groupsThomas, Dr AUniversity of WarwickMathematics 198,456
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr RThe Open UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 336,713
Constructing Counterexamples in Group Rings and Algebraic TopologyCraven, Dr DAUniversity of BirminghamSchool of Mathematics 202,256
Constructions and properties of p-adic L-functions for GL(n)Williams, Dr CDUniversity of WarwickMathematics 310,002
Curve counting, moduli, and logarithmic geometryRanganathan, Dr DUniversity of CambridgePure Maths and Mathematical Statistics 135,510
DERIVED CATEGORIES AND ALGEBRAIC K-THEORY OF SINGULARITIESShinder, Dr EUniversity of SheffieldMathematics and Statistics 332,778
Derived and perverse methods in the local Langlands correspondenceHelm, Dr DImperial College LondonMathematics 197,438
Derived categories, stability conditions and geometric applications.Feyzbakhsh, Dr SImperial College LondonMathematics 405,383
DERIVED CATEGORY METHODS IN ARITHMETIC: AN APPROACH TO SZPIRO'S CONJECTURE VIA HOMOLOGICAL MIRROR SYMMETRY AND BRIDGELAND STABILITY CONDITIONSBoehning, Dr CUniversity of WarwickMathematics 202,341
Developing mathematics of new composites of metamaterialsKisil, Dr AUniversity of Manchester, TheMathematics 79,251
Development and categorification of a new link invariantGarcia Lecuona, Dr AUniversity of GlasgowSchool of Mathematics & Statistics 114,518
Diagram Monoids and Their CongruencesRuskuc, Professor NUniversity of St AndrewsMathematics and Statistics 35,035
Digitising the Langlands ProgramBuzzard, Professor KImperial College LondonMathematics 201,850
Dimer models with boundaryPressland, Dr MUniversity of GlasgowSchool of Mathematics & Statistics 148,779
DMS-EPSRC Topology of automated motion planningFarber, Professor MQueen Mary University of LondonSch of Mathematical Sciences 368,192
Dynamics on Calabi--Yau and abelian varietiesPrendergast, Dr ALoughborough UniversityMathematical Sciences 80,635
Effective Equidistribution in Diophantine Approximation : Theory, Interactions and Applications.Adiceam, Dr FUniversity of Manchester, TheMathematics 160,136
Elliptic discrete integrable systems and bi-elliptic addition formulaeNijhoff, Professor FWUniversity of LeedsApplied Mathematics 65,857
Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And DeformationsGordon, Professor IUniversity of EdinburghSch of Mathematics 2,716,102
Enveloping algebras of infinite-dimensional Lie algebrasSierra, Dr S JUniversity of EdinburghSch of Mathematics 555,385
EPSRC Centre for Doctoral Training in Geometry and Number Theory at the InterfaceSinger, Professor MUCLMathematics 4,724,843
EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface: London School of Geometry and Number TheorySinger, Professor MUCLMathematics 6,030,397
EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath (SAMBa)Kyprianou, Professor AUniversity of BathMathematical Sciences 4,006,757
EPSRC-SFI: "CFT and Gravity: Heavy States and Black Holes"Russo, Dr RQueen Mary University of LondonPhysics 622,797
Exotic Representation TheorySemeraro, Dr JUniversity of LeicesterMathematics and Actuarial Sciences 356,861
Explicit Methods for non-holomorphic Hilbert Modular FormsStromberg, Dr F KUniversity of NottinghamSch of Mathematical Sciences 356,966
Fano cone singularities and their linksSuess, Dr HFriedrich Schiller University JenaFaculty of Mathematics and Computer Sci 145,960
Foundations and Applications of Tropical GeometryMaclagan, Professor DUniversity of WarwickMathematics 326,307
Generalised Hörmander-Rellich-Pohozhaev-Morawetz identities and their applications in spectral geometryLevitin, Professor MUniversity of ReadingMathematics and Statistics 49,555
Geodesic Currents and Counting ProblemsErlandsson, Dr VBVUniversity of BristolMathematics 269,274
Geometric eigenvalue bounds for the Dirichlet-to-Neumann OperatorHassannezhad, Dr AUniversity of BristolMathematics 273,051
Geometric scattering methods for the conformal Einstein field equationsValiente Kroon, Dr JAQueen Mary University of LondonSch of Mathematical Sciences 80,353
Geometry as a key to the virosphere: Unmasking the fundamental roles of geometry in virus structure, evolution and pathologyTwarock, Professor RUniversity of YorkMathematics 1,081,232
Geometry from Donaldson-Thomas invariantsBridgeland, Professor TUniversity of SheffieldMathematics and Statistics 615,457
Global motivic homotopy theoryGarkusha, Dr GSwansea UniversityCollege of Science 58,135
Graph Minor Theory in three dimensions and ConnectivityCarmesin, Dr JUniversity of BirminghamSchool of Mathematics 1,004,277
Graph theory in higher dimensionsGeorgakopoulos, Dr AUniversity of WarwickMathematics 377,948
Group Generation: From Finite To InfiniteHarper, Dr SUniversity of St AndrewsMathematics and Statistics 279,277
High energy spectral and scattering phenomena via microlocal analysisGalkowski, Dr JUCLMathematics 954,337
Higher Algebra and Quantum ProtocolsDouglas, Dr CUniversity of OxfordMathematical Institute 494,701
Higher Algebra and Quantum ProtocolsVicary, Dr JOUniversity of CambridgeComputer Science and Technology 234,355
Hopf-Galois Theory and Skew BracesByott, Professor NUniversity of ExeterMathematical Sciences 368,722
Integral p_adic Hodge-theory and applications to p-adic deformation theoryLanger, Professor AUniversity of ExeterMathematics 381,961
Integral Structures in the Langlands ProgrammeKurinczuk, Dr RUniversity of SheffieldPure Mathematics 739,381
International Centre For Mathematical Sciences 2018Kim, Professor MHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
Invariable generation in finite groups with applications to algorithmic number theoryTracey, Dr GUniversity of BirminghamSchool of Mathematics 205,496
INVARIANT ALGEBRAS IN HYPERBOLIC GEOMETRYLombardo, Professor SLoughborough UniversityMathematical Sciences 153,559
Irreducible modular representationsFayers, Dr MQueen Mary University of LondonSch of Mathematical Sciences 65,811
Isaac Newton Institute for Mathematical SciencesTillmann, Professor UUniversity of CambridgeIsaac Newton Institute (Math Science) 11,570,267
Isotropic motives and affine quadricsVishik, Dr AUniversity of NottinghamSch of Mathematical Sciences 357,856
Kähler-Einstein metrics on Fano manifoldsAbban, Dr HLoughborough UniversityMathematical Sciences 202,211
Kac-Moody quantum symmetric pairs, KLR algebras and generalized Schur-Weyl dualityPrzezdziecki, Dr TUniversity of EdinburghSch of Mathematics 299,742
Kaehler manifolds of constant curvature with conical singularitiesPanov, Professor DKings College LondonMathematics 317,117
Koszul duality and the singularity category for the enhanced group cohomology ringGreenlees, Professor JUniversity of WarwickMathematics 461,981
Lagrangians from Algebra and CombinatoricsHicks, Dr JUniversity of EdinburghSch of Mathematics 313,067
Local Mirror Symmetry and Five-dimensional Field TheoryClosset, Dr CUniversity of BirminghamSchool of Mathematics 366,143
Local theta correspondence: a new study through the theories of types and l-modular representationsStevens, Professor SUniversity of East AngliaMathematics 417,076
Local-Global Interactions in CombinatoricsScott, Professor ADUniversity of OxfordMathematical Institute 499,844
Local-to-global principles for random Diophantine equationsSkorobogatov, Professor AImperial College LondonMathematics 202,414
Making Cubature on Wiener Space WorkLitterer, Dr CUniversity of YorkMathematics 105,205
Matroids in tropical geometryRincon, Dr FQueen Mary University of LondonSch of Mathematical Sciences 210,270
Mellin motives, periods and high energy physicsTapuskovic, Dr MUniversity of OxfordMathematical Institute 317,658
Metrics and Completions of Triangulated CategoriesGratz, Dr S HAarhus UniversityMathematical Sciences 97,161
Mirror Symmetry for Cluster VarietiesRietsch, Professor KKings College LondonMathematics 465,294
Mirror Symmetry for Fibrations and DegenerationsThompson, Dr AMLoughborough UniversityMathematical Sciences 238,263
Mirror symmetry, Berkovich spaces and the Minimal Model ProgrammeNicaise, Dr JImperial College LondonMathematics 463,465
Mirror symmetry, quantum curves and integrable systemsBrini, Dr AUniversity of SheffieldMathematics and Statistics 833,984
Model theoretic and topos theoretic view of difference algebra and applications to dynamicsTomasic, Dr IQueen Mary University of LondonSch of Mathematical Sciences 473,594
Model theory of analytic functionsMantova, Dr VUniversity of LeedsPure Mathematics 875,396
Model theory of D-large fields and connections to representation theory.Leon Sanchez, Dr OUniversity of Manchester, TheMathematics 351,043
Model Theory, Diophantine Geometry and CombinatoricsEleftheriou, Dr PUniversity of LeedsPure Mathematics 847,541
Modular representation theory, Hilbert modular forms and the geometric Breuil-Mézard conjecture.Wiersema, Ms HUniversity of CambridgePure Maths and Mathematical Statistics 305,812
Modular symbols and applicationsDiamantis, Professor NUniversity of NottinghamSch of Mathematical Sciences 331,558
Moduli of Elliptic Curves and Classical Diophantine ProblemsSiksek, Professor SUniversity of WarwickMathematics 386,239
Moments of character sums and of the Riemann zeta function via multiplicative chaosHarper, Dr AJUniversity of WarwickMathematics 174,545
Monoidal bicategories, linear logic and operadsGambino, Dr NUniversity of LeedsPure Mathematics 395,817
Monoidal bicategories, linear logic and operadsFiore, Professor MPUniversity of CambridgeComputer Science and Technology 105,894
Multidimensional moment problems and the quantum-classic divideKimsey, Dr DNewcastle UniversitySch of Maths, Statistics and Physics 98,551
New directions in AMD codes over Galois fields and related structuresHuczynska, Dr SUniversity of St AndrewsMathematics and Statistics 33,422
New Frontiers in Symplectic TopologyEvans, Dr JDLancaster UniversityMathematics and Statistics 656,359
New Frontiers in Symplectic TopologyLekili, Dr YImperial College LondonMathematics 854,187
New geometry from string dualitiesWaldram, Professor DImperial College LondonPhysics 202,507
Nonlinear critical point theory near singular solutionsSharp, Dr BUniversity of LeedsPure Mathematics 369,185
Overlapping iterated function systems: New approaches and breaking the super-exponential barrierBaker, Dr SPLoughborough UniversityMathematical Sciences 271,715
P-adic L-functions and explicit reciprocity lawsLoeffler, Professor DUniversity of WarwickMathematics 327,737
Patterns recognition inside shear bands: tailoring microstructure against localisationBorodin, Dr IUniversity of Manchester, TheMechanical Aerospace and Civil Eng 282,347
Periodicity of Jacobi-Perron type algorithms for cubic vectors.Karpenkov, Dr OUniversity of LiverpoolMathematical Sciences 86,850
Permutation groups, totally disconnected locally compact groups, and the local isomorphism relation.Smith, Dr S MUniversity of LincolnSchool of Maths and Physics 442,084
Pointwise Convergence of Multiple Ergodic AveragesKrause, Dr BKings College LondonMathematics 409,738
Probabilistic and Topological methods in Real Algebraic Geometry and Computational ComplexityNatarajan, Dr AUniversity of WarwickMathematics 299,943
Pseudorandom majorants over number fields with applications in arithmetic geometryFrei, Dr CGraz University of TechnologyResearch 21,009
QALF hyperkähler metricsFoscolo, Dr LUCLMathematics 202,146
Quantum groups in actionDaws, Dr MUniversity of Central LancashireJeremiah Horrocks Institute 51,885
Quantum groups in actionVoigt, Dr CUniversity of GlasgowSchool of Mathematics & Statistics 263,286
Quantum integrability from set theoretic Yang-Baxter & reflection equationsDoikou, Professor AHeriot-Watt UniversityS of Mathematical and Computer Sciences 428,321
Random Periodicity in Dynamics with UncertaintyZhao, Professor HDurham, University ofMathematical Sciences 817,931
Rank functions on triangulated categories, homotopy theory and representations of finite groupsChuang, Professor JCity, University of LondonSch of Engineering and Mathematical Sci 393,339
Rank functions on triangulated categories, homotopy theory and representations of finite groupsLazarev, Professor ALancaster UniversityMathematics and Statistics 380,778
Regularity in affiliated von Neumann algebras and applications to partial differential equationsRuzhansky, Professor MQueen Mary University of LondonSch of Mathematical Sciences 307,764
Renormalisation Group Interfaces in Tricritical Ising ModelKonechny, Dr AHeriot-Watt UniversityS of Mathematical and Computer Sciences 79,918
Representation theory over local ringsLinckelmann, Professor MCity, University of LondonSch of Engineering and Mathematical Sci 390,543
Representation theory of modular Lie algebras and superalgebrasGoodwin, Dr SMUniversity of BirminghamSchool of Mathematics 333,226
Representation theory over local ringsEaton, Professor CUniversity of Manchester, TheMathematics 369,031
Ricci flow of manifolds with singularities at infinityTopping, Professor PUniversity of WarwickMathematics 362,678
Right Noetherian and coherent monoidsGould, Professor VUniversity of YorkMathematics 385,461
Right Noetherian and coherent monoidsRuskuc, Professor NUniversity of St AndrewsMathematics and Statistics 377,533
Schubert calculus via cluster categoriesGrabowski, Dr JELancaster UniversityMathematics and Statistics 33,573
Selmer groups, arithmetic statistics, and parity conjectures.Morgan, Dr A JUniversity of GlasgowSchool of Mathematics & Statistics 281,351
Separating Invariants of QuiversElmer, Dr JPMiddlesex UniversityFaculty of Science & Technology 23,760
Simple-mindedness in triangulated categoriesPauksztello, Dr DLancaster UniversityMathematics and Statistics 344,093
Singularities, symplectic topology and mirror symmetryKeating, Dr AMUniversity of CambridgePure Maths and Mathematical Statistics 722,294
Sparse linear models: Their existence and stabilityWinkler, Dr JUniversity of SheffieldComputer Science 79,385
Stability for nonlocal curvature functionalsScheuer, Dr JCardiff UniversitySch of Mathematics 37,277
Stable hypersurfaces with prescribed mean curvatureBellettini, Professor CUCLMathematics 287,098
Strong subconvexity and an optimal large sieve inequality for PGL(2)Petrow, Dr IUCLMathematics 360,853
Supersymmetric Gauge Theory and Enumerative GeometryBullimore, Dr MDurham, University ofMathematical Sciences 737,550
Symmetries of 4-manifoldsPowell, Dr MDurham, University ofMathematical Sciences 201,860
Taut foliations, representations, and the computational complexity of knot genusYazdi, Dr MKings College LondonMathematics 224,022
Tensor and wreath products of symmetric groupsBowman-Scargill, Dr C DUniversity of YorkMathematics 945,577
The Birch--Swinnerton-Dyer conjecture: beyond dimension 1Zerbes, Professor SUCLMathematics 100,851
The Calabi problem for smooth Fano threefoldsCheltsov, Professor IUniversity of EdinburghSch of Mathematics 78,027
The Calabi problem for smooth Fano threefoldsSuess, Dr HFriedrich Schiller University JenaFaculty of Mathematics and Computer Sci 17,272
The Calabi problem for smooth Fano threefoldsMartinez Garcia, Dr JUniversity of EssexMathematical Sciences 194,839
The Calabi problem for smooth Fano threefoldsKaloghiros, Dr ABrunel University LondonMathematics 217,851
The critical group of a topological graph: an approach through delta-matroid theoryNoble, Dr SDBirkbeck CollegeEconomics, Mathematics and Statistics 31,231
The critical group of a topological graph: an approach through delta-matroid theoryMoffatt, Professor IRoyal Holloway, Univ of LondonMathematics 45,721
The Farey framework for SL2-tilingsShort, Dr IThe Open UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 375,376
The graph rigidity problem in arbitrary dimensionNixon, Dr ALancaster UniversityMathematics and Statistics 45,952
The Moduli Space of Foliated SurfacesCascini, Professor PImperial College LondonMathematics 80,647
TOPOLOGY OF SOBOLEV SPACES AND QUASICONVEXITY: MULTIPLICITY AND SINGULARITY ANALYSIS FOR EXTREMALS AND LOCAL MINIMIZERSTaheri, Professor AUniversity of SussexSch of Mathematical & Physical Sciences 438,623
Toric vector bundles: Stability, Cohomology, and Applications.Hering, Dr MUniversity of EdinburghSch of Mathematics 939,180
Tropical geometry and the moduli space of Prym varietiesLen, Dr YUniversity of St AndrewsMathematics and Statistics 350,667
Uncovering the Subgroup Structure of E8Craven, Dr DAUniversity of BirminghamSchool of Mathematics 71,764
Unitary representations of reductive p-adic groups: an algorithmCiubotaru, Professor DUniversity of OxfordMathematical Institute 202,261
Weak skew left braces, Hopf-Galois theory, and the Yang-Baxter equationTruman, Dr P JKeele UniversityFaculty of Natural Sciences 53,839

Total Number of Grants: 164
Total Value of Grants: £104,396,898

The grant value may include the cost of access to facilities (these funds are not awarded to the grant holding organisation).