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EPSRC Support by Research Area (Algebra) in Theme (Mathematical Sciences)

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. The number and value of grants listed below reflects how the theme portfolio is described by this research area.

Please note: some research areas will appear under multiple themes. There is no unique, absolute, relationship between a research area and a theme.

Grant TitlePrincipal
Investigator		OrganisationDepartmentTotal Grant
Value (£)
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 SciencesTillmann, Professor UUniversity of CambridgeIsaac Newton Institute (Math Science) 10,000,000
Algebraic spline geometry: towards algorithmic shape representationVillamizar, Dr NSwansea UniversityCollege of Science 307,189
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
Anglo-Franco-German in Representation Theory and its ApplicationsLaunois, Professor SUniversity of KentSch of Maths Statistics & Actuarial Sci 158,894
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 RJUniversity of GlasgowSchool of Mathematics & Statistics 251,681
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
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 spaces, proper actions and stable homotopy theoryPatchkoria, Dr IUniversity of AberdeenMathematical Sciences 298,276
Coarse Geometry of Groups and SpacesHume, Dr DSUniversity of BristolMathematics 820,375
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 RQueen Mary University of LondonSch of Mathematical Sciences 216,599
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 NottinghamSch of Mathematical Sciences 26,513
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
Derived equivalences and autoequivalences in algebraic geometryBarbacovi, Mr FImperial College LondonMathematics 348,786
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 GlasgowSchool of Mathematics & Statistics 148,779
Dynamics on Calabi--Yau and abelian varietiesPrendergast, Dr ALoughborough UniversityMathematical Sciences 80,635
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
Exotic Representation TheorySemeraro, Dr JLoughborough UniversityMathematical Sciences 356,861
Extensions of matroid Hodge theoryFink, Dr ARQueen Mary University of LondonSch of Mathematical Sciences 335,497
Fano cone singularities and their linksSuess, Dr HFriedrich Schiller University JenaFaculty of Mathematics and Computer Sci 145,960
Geometric structures and twisted supersymmetryStrickland-Constable, Dr CUniversity of HertfordshireSchool of Physics, Eng & Computer Scienc 319,529
Group Generation: From Finite To InfiniteHarper, Dr SUniversity of St AndrewsMathematics and Statistics 279,277
Hopf-Galois Theory and Skew BracesByott, Professor NUniversity of ExeterMathematical Sciences 368,722
Integral Structures in the Langlands ProgrammeKurinczuk, Dr RUniversity of SheffieldPure Mathematics 739,381
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 WarwickMathematics 162,667
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 HUniversity of NottinghamSch of Mathematical Sciences 95,568
Kac-Moody quantum symmetric pairs, KLR algebras and generalized Schur-Weyl dualityPrzezdziecki, Dr TUniversity of EdinburghSch of Mathematics 299,742
Koszul duality and the singularity category for the enhanced group cohomology ringGreenlees, Professor JUniversity of WarwickMathematics 461,981
Local-Global Interactions in CombinatoricsScott, Professor ADUniversity of OxfordMathematical Institute 499,844
Making Cubature on Wiener Space WorkLitterer, Dr CUniversity of YorkMathematics 105,205
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
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
Monoidal bicategories, linear logic and operadsGambino, Dr NUniversity of Manchester, TheMathematics 249,066
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
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, Dr AUniversity of WarwickMathematics 299,943
Probabilistic and Topological methods in Real Algebraic Geometry and Computational ComplexityNatarajan, Dr AUniversity of WarwickMathematics 299,943
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
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
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
Selmer groups, arithmetic statistics, and parity conjectures.Morgan, Dr A JUniversity of GlasgowSchool of Mathematics & Statistics 281,351
Simple-mindedness in triangulated categoriesPauksztello, Dr DLancaster UniversityMathematics and Statistics 344,093
Sparse linear models: Their existence and stabilityWinkler, Dr JUniversity of SheffieldComputer Science 79,385
Supersymmetric Gauge Theory and Enumerative GeometryBullimore, Dr MDurham, University ofMathematical Sciences 737,550
Symmetries of 4-manifoldsPowell, Dr MUniversity of GlasgowSchool of Mathematics & Statistics 114,458
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 Farey framework for SL2-tilingsShort, Dr IThe Open UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 375,376
The Lie algebra of derivations of a block of a finite groupLinckelmann, Professor MCity, University of LondonSch of Engineering and Mathematical Sci 358,933
The Moduli Space of Foliated SurfacesCascini, Professor PImperial College LondonMathematics 80,647
Uncovering the Subgroup Structure of E8Craven, Dr DAUniversity of BirminghamSchool of Mathematics 71,764
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: 91
Total Value of Grants: £66,790,965

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