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EPSRC Support by Research Area (Geometry & Topology) 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 (£)
Adelic models, rigidity and equivariant cohomologyGreenlees, Professor JUniversity of WarwickMathematics 278,916
Advances in Mean Curvature Flow: Theory and ApplicationsBuzano, Dr RQueen Mary University of LondonSch of Mathematical Sciences 613,223
An Enumerative Approach to Heegaard FloerRasmussen, Dr S DUniversity of CambridgePure Maths and Mathematical Statistics 244,455
Anglo-Franco-German in Representation Theory and its ApplicationsLaunois, Professor SUniversity of KentSch of Maths Statistics & Actuarial Scie 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
Applications of ergodic theory to geometry: Dynamical Zeta Functions and their applicationsPollicott, Professor MUniversity of WarwickMathematics 934,489
Applications of space filling curves to substitution tilingsWhittaker, Dr M FUniversity of GlasgowSchool of Mathematics & Statistics 101,091
Birational geometry in positive characteristicCascini, Professor PImperial College LondonDept of Mathematics 938,733
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
Calabi-Yau Pairs and Mirror Symmetry for Fano VarietiesKaloghiros, Dr ABrunel University LondonMathematics 91,852
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
Challenges of dispersionless integrability: Hirota type equationsFerapontov, Professor ELoughborough UniversityMathematical Sciences 280,335
Classification, Computation, and Construction: New Methods in GeometryCorti, Professor AImperial College LondonDept of Mathematics 2,171,099
Classifying algebraic varieties via Newton-Okounkov bodiesPostinghel, Dr ELoughborough UniversityMathematical Sciences 203,354
Cluster algebras, Teichmüller theory and Macdonald polynomialsMazzocco, Professor MUniversity of BirminghamSchool of Mathematics 338,446
Cohen-Lenstra heuristics, Brauer relations, and low-dimensional manifoldsBartel, Professor AUniversity of GlasgowSchool of Mathematics & Statistics 744,455
Constructions and properties of p-adic L-functions for GL(n)Williams, Dr CDUniversity of WarwickMathematics 310,002
Designer Microstructure via Optimal Transport TheoryBourne, Dr DHeriot-Watt UniversityS of Mathematical and Computer Sciences 92,456
Dimer models with boundaryPressland, Dr MUniversity of LeedsPure Mathematics 305,495
Dualities and Correspondences in Algebraic Geometry via Derived Categories and Noncommutative MethodsRizzardo, Dr AUniversity of LiverpoolMathematical Sciences 182,326
Dynamic models of random simplicial complexesFountoulakis, Dr NUniversity of BirminghamSchool of Mathematics 269,286
Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And DeformationsGordon, Professor IUniversity of EdinburghSch of Mathematics 2,716,102
Exact solutions for discrete and continuous nonlinear systemsWang, Professor JUniversity of KentSch of Maths Statistics & Actuarial Scie 202,787
Exact solutions for discrete and continuous nonlinear systemsMikhailov, Professor AVUniversity of LeedsApplied Mathematics 212,717
Exponentially Algebraically Closed FieldsKirby, Dr PJUniversity of East AngliaMathematics 319,862
Foundations and Applications of Tropical GeometryMaclagan, Dr DUniversity of WarwickMathematics 326,307
Geometric Mechanics of Solids: new analysis of modern engineering materialsJivkov, Professor APUniversity of Manchester, TheMechanical Aerospace and Civil Eng 1,340,905
Geometric, Topological, and Statistical Dynamics in Soft Matter and Mathematical BiologyGoldstein, Professor REUniversity of CambridgeApplied Maths and Theoretical Physics 1,171,149
Geometry and Conformal Invariance of Random StructuresBerestycki, Professor NUniversity of CambridgePure Maths and Mathematical Statistics 1,044,626
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 BirminghamSchool of Computer Science 337,112
Higher Dimensional Homological AlgebraJorgensen, Professor PNewcastle UniversitySch of Maths, Statistics and Physics 241,188
Interactions between representation theory, Poisson algebras and differential algebraic geometryLaunois, Professor SUniversity of KentSch of Maths Statistics & Actuarial Scie 301,911
International Centre For Mathematical Sciences 2018Lord, Professor GHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
Jordan Algebras, Finsler Geometry and DynamicsLemmens, Dr BUniversity of KentSch of Maths Statistics & Actuarial Scie 310,787
Kaehler manifolds of constant curvature with conical singularitiesPanov, Dr DKings College LondonMathematics 317,117
Left 3-Engel elements in groupsTraustason, Dr GUniversity of BathMathematical Sciences 285,012
Mapping class groups, curve complexes, and Teichmueller spacesWebb, Dr RCHUniversity of CambridgePure Maths and Mathematical Statistics 207,475
Matroids in Applied and Computational AlgebraMohammadi, Dr FUniversity of BristolMathematics 362,270
Mirror Constructions: Develop, Unify, ApplyKelly, Dr T LUniversity of BirminghamSchool of Mathematics 234,458
Mirror symmetry, quantum curves and integrable systemsBrini, Dr AUniversity of BirminghamSchool of Mathematics 975,192
Moduli and boundedness problems in geometrySvaldi, Dr RUniversity of WarwickMathematics 298,286
Moduli spaces attached to singular surfaces and representation theorySzendroi, Professor BUniversity of OxfordMathematical Institute 518,956
New Implications of Arboreality and Hyperbolicity for GroupsHagen, Dr MFUniversity of BristolMathematics 120,935
Optimal transport and geometric analysisMondino, Dr AUniversity of WarwickMathematics 101,150
P-adic L-functions and explicit reciprocity lawsLoeffler, Professor DUniversity of WarwickMathematics 327,737
Random Periodicity in Dynamics with UncertaintyZhao, Professor HLoughborough UniversityMathematical Sciences 1,084,095
Reductions & resolutions in representation theory and algebraic geometryRaedschelders, Dr TUniversity of GlasgowSchool of Mathematics & Statistics 282,949
Regularity in affiliated von Neumann algebras and applications to partial differential equationsRuzhansky, Professor MQueen Mary University of LondonSch of Mathematical Sciences 307,764
Rigidity and Small Divisors in Holomorphic DynamicsCheraghi, Dr DImperial College LondonDept of Mathematics 624,090
Singularities and symplectic topologyEvans, Dr J DLancaster UniversityMathematics and Statistics 186,815
Stable hypersurfaces with prescribed mean curvatureBellettini, Dr CUCLMathematics 287,098
Supersymmetric Gauge Theory and Enumerative GeometryBullimore, Dr MDurham, University ofMathematical Sciences 737,550
Symmetries and correspondences: intra-disciplinary developments and applicationsFesenko, Professor IUniversity of NottinghamSch of Mathematical Sciences 2,331,858
The Combinatorics of Mirror SymmetryKasprzyk, Dr AMUniversity of NottinghamSch of Mathematical Sciences 550,902
Vafa-Witten invariants of projective surfacesThomas, Professor RImperial College LondonDept of Mathematics 707,021

Total Number of Grants: 58
Total Value of Grants: £36,611,973

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