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EPSRC Support by Research Area in Algebra

Research areas are used to describe EPSRC's portfolio of excellent long term research and high quality postgraduate training.

Grants are classified using one or more research areas. All the grants listed below have some relevance to this research area. The value of the investment is the total awarded by EPSRC and does not reflect the proportion assigned to this research area.

We always try to ensure that grants on the web contains the most recent information but it is possible that some might be slightly out of date.

Grant TitlePrincipal
Investigator		OrganisationDepartmentTotal Grant
Value (£)
2-representation theory and categorificationMiemietz, Dr VUniversity of East AngliaMathematics 329,519
4D TQFT and categorified Hall algebrasKremnizer, Professor YKUniversity of OxfordMathematical Institute 595,108
A novel approach to integrability of semi-discrete systemsWang, Professor JUniversity of KentSch of Maths Statistics & Actuarial Sci 77,538
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 SciencesSchroers, Professor BHeriot-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
Adelic models, rigidity and equivariant cohomologyGreenlees, Professor JUniversity of WarwickMathematics 278,916
Algebraic spline geometry: towards algorithmic shape representationVillamizar, Dr NSwansea UniversityCollege of Science 307,189
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
Application driven Topological Data AnalysisTillmann, Professor UUniversity of OxfordMathematical Institute 2,847,111
Arithmetic Moduli Spaces and Gauge TheoryKim, Professor MUniversity of WarwickMathematics 202,348
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
Birational Models of Singular Fano 3-foldsAhmadinezhad, Dr HLoughborough UniversityMathematical Sciences 234,599
Bi-synchronizing automata, outer automorphism groups of Higman-Thompson groups, and automorphisms of the shift.Bleak, Dr CPUniversity of St AndrewsMathematics and Statistics 524,184
Boundary representations of non-positively curved groupsSpakula, Dr JUniversity of SouthamptonSch of Mathematical Sciences 367,941
Capacity building in Africa via technology-driven research in algebraic and arithmetic geometrySzendroi, Professor BUniversity of OxfordMathematical Institute 170,892
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
Categorifying Turbulence in Borel ReducibilityBrooke-Taylor, Dr ADUniversity of LeedsPure Mathematics 58,356
Classification, Computation, and Construction: New Methods in GeometryCorti, Professor AImperial College LondonMathematics 2,171,099
Cluster algebras, Teichmüller theory and Macdonald polynomialsMazzocco, Professor MUniversity of BirminghamSchool of Mathematics 338,446
Coarse Geometry of Groups and SpacesHume, Dr DSUniversity of BristolMathematics 820,375
Cohen-Lenstra heuristics, Brauer relations, and low-dimensional manifoldsBartel, Professor AUniversity of GlasgowSchool of Mathematics & Statistics 744,455
Cohomology and Actions of GroupsSymonds, Professor PUniversity of Manchester, TheMathematics 415,741
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr ROpen 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
DERIVED CATEGORIES AND ALGEBRAIC K-THEORY OF SINGULARITIESShinder, Dr EUniversity of SheffieldMathematics and Statistics 332,778
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
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
Dimer models with boundaryPressland, Dr MUniversity of LeedsPure Mathematics 305,495
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 Statistical Applied Mathematics at Bath (SAMBa)Kyprianou, Professor AEUniversity of BathMathematical Sciences 3,891,328
Equations in groups, formal languages and complexityCiobanu Radomirovic, Dr LIHeriot-Watt UniversityS of Mathematical and Computer Sciences 287,684
Exponentially Algebraically Closed FieldsKirby, Dr JUniversity of East AngliaMathematics 319,862
Fano cone singularities and their linksSuess, Dr HUniversity of Manchester, TheMathematics 351,787
Geometry of Artin Group ActionsMartin, Dr AHeriot-Watt UniversityS of Mathematical and Computer Sciences 209,397
Graphs in Representation TheorySchroll, Professor SUniversity of LeicesterMathematics 1,015,963
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 2018Schroers, Professor BHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
Invariable generation in finite groups with applications to algorithmic number theoryTracey, Dr GUniversity of OxfordMathematical Institute 288,585
INVARIANT ALGEBRAS IN HYPERBOLIC GEOMETRYLombardo, Professor SLoughborough UniversityMathematical Sciences 153,559
Isaac Newton Institute for Mathematical SciencesAbrahams, Professor IDUniversity of CambridgeIsaac Newton Institute (Math Science) 11,570,267
Isotropic motives and affine quadricsVishik, Dr AUniversity of NottinghamSch of Mathematical Sciences 357,856
Jordan Algebras, Finsler Geometry and DynamicsLemmens, Dr BUniversity of KentSch of Maths Statistics & Actuarial Sci 310,787
Kähler-Einstein metrics on Fano manifoldsAhmadinezhad, Dr HLoughborough UniversityMathematical Sciences 202,211
Left 3-Engel elements in groupsTraustason, Dr GUniversity of BathMathematical Sciences 285,012
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
Metrics and Completions of Triangulated CategoriesGratz, Dr S HUniversity of GlasgowSchool of Mathematics & Statistics 237,646
Mirror Constructions: Develop, Unify, ApplyKelly, Dr T LUniversity of BirminghamSchool of Mathematics 234,458
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
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, Diophantine Geometry and CombinatoricsEleftheriou, Dr PUniversity of LeedsPure Mathematics 847,541
Moduli spaces attached to singular surfaces and representation theorySzendroi, Professor BUniversity of OxfordMathematical Institute 518,956
Monoidal bicategories, linear logic and operadsFiore, Professor MPUniversity of CambridgeComputer Science and Technology 105,894
Monoidal bicategories, linear logic and operadsGambino, Dr NUniversity of LeedsPure Mathematics 395,817
New bounds towards Fourier coefficients of Siegel modular formsSaha, Dr AQueen Mary University of LondonSch of Mathematical Sciences 80,624
New techniques for old problems in number theoryChow, Dr SUniversity of WarwickMathematics 201,403
P-adic L-functions and explicit reciprocity lawsLoeffler, Professor DUniversity of WarwickMathematics 327,737
Permutation groups, totally disconnected locally compact groups, and the local isomorphism relation.Smith, Dr S MUniversity of LincolnSchool of Maths and Physics 442,084
Probabilistic and Topological methods in Real Algebraic Geometry and Computational ComplexityNatarajan, Mr AUniversity of WarwickMathematics 299,943
Quantitative arithmetic geometryLoughran, Dr DTUniversity of BathMathematical Sciences 49,870
Quantum groups in actionDaws, Dr MUniversity of Central LancashireSch of Physical Sciences and Computing 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
Rank functions on triangulated categories, homotopy theory and representations of finite groupsLazarev, Professor ALancaster UniversityMathematics and Statistics 380,778
Rank functions on triangulated categories, homotopy theory and representations of finite groupsChuang, Professor JCity, University of LondonSch of Engineering and Mathematical Sci 393,339
Regularity in affiliated von Neumann algebras and applications to partial differential equationsRuzhansky, Professor MQueen Mary University of LondonSch of Mathematical Sciences 307,764
Representation theory over local ringsKessar, Professor RCity, 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, Dr CUniversity of Manchester, TheMathematics 369,031
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
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
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 MUniversity of OxfordMathematical Institute 294,553
Tensor and wreath products of symmetric groupsBowman-Scargill, Dr C DUniversity of YorkMathematics 945,577
The Homological Minimal Model Programme (Extension)Wemyss, Professor MUniversity of GlasgowSchool of Mathematics & Statistics 555,364
Vafa-Witten invariants of projective surfacesThomas, Professor RImperial College LondonMathematics 707,021

Total Number of Grants: 96
Total Value of Grants: £72,850,125

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