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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 (£)
A New Approach to Bernoulli Convolutions and Salem NumbersKempton, Dr TUniversity of Manchester, TheMathematics 28,700
A New Foundation for Statistical Shape AnalysisJermyn, Professor IDurham, University ofMathematical Sciences 202,360
A novel approach to integrability of semi-discrete systemsWang, Professor JUniversity of KentSch of Maths Statistics & Actuarial Sci 77,538
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
Advances in Mean Curvature Flow: Theory and ApplicationsBuzano, Dr RQueen Mary University of LondonSch of Mathematical Sciences 613,223
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
An Enumerative Approach to Heegaard FloerRasmussen, Dr SDUniversity 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 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
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
Bridgeland stability on Fukaya categories of Calabi-Yau 2-foldsJoyce, Professor DUniversity of OxfordMathematical Institute 522,545
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
Classification, Computation, and Construction: New Methods in GeometryCorti, Professor AImperial College LondonMathematics 2,171,099
Classifying 4-manifoldsPowell, Dr MDurham, University ofMathematical Sciences 360,068
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
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
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 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
Dimer models with boundaryPressland, Dr MUniversity of LeedsPure Mathematics 305,495
DMS-EPSRC Topology of automated motion planningFarber, Professor MQueen Mary University of LondonSch of Mathematical Sciences 368,192
Dynamics of generalized Farey sequences with applications to equidistributionTseng, Dr JUniversity of ExeterMathematics 124,910
Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And DeformationsGordon, Professor IUniversity of EdinburghSch of Mathematics 2,716,102
Exponentially Algebraically Closed FieldsKirby, Dr JUniversity of East AngliaMathematics 319,862
Fano cone singularities and their linksSuess, Dr HUniversity of Manchester, TheMathematics 351,787
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 Mechanics of Solids: new analysis of modern engineering materialsJivkov, Professor APUniversity of Manchester, TheMechanical Aerospace and Civil Eng 1,340,905
Geometry from Donaldson-Thomas invariantsBridgeland, Professor TUniversity of SheffieldMathematics and Statistics 615,457
Geometry from Donaldson-Thomas invariantsBridgeland, Professor TUniversity of SheffieldMathematics and Statistics 615,457
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
Graph theory in higher dimensionsGeorgakopoulos, Dr AUniversity of WarwickMathematics 377,948
Graphs in Representation TheorySchroll, Professor SUniversity of LeicesterMathematics 1,015,963
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
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 2018Schroers, Professor BHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
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
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
Local-to-global principles for random Diophantine equationsSkorobogatov, Professor AImperial College LondonMathematics 202,414
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, 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, 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 operadsGambino, Dr NUniversity of LeedsPure Mathematics 395,817
Monoidal bicategories, linear logic and operadsFiore, Professor MPUniversity of CambridgeComputer Science and Technology 105,894
New geometry from string dualitiesWaldram, Professor DImperial College LondonPhysics 202,507
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
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
Probabilistic and Topological methods in Real Algebraic Geometry and Computational ComplexityNatarajan, Mr AUniversity of WarwickMathematics 299,943
QALF hyperkähler metricsFoscolo, Dr LUCLMathematics 202,146
Quantitative reduction theory and Diophantine geometryOrr, Dr MUniversity of WarwickMathematics 113,509
Random Periodicity in Dynamics with UncertaintyZhao, Professor HDurham, University ofMathematical Sciences 817,931
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
Ricci flow of manifolds with singularities at infinityTopping, Professor PUniversity of WarwickMathematics 362,678
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
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
Symmetries of 4-manifoldsPowell, Dr MDurham, University ofMathematical Sciences 201,860
Systoles and eigenvalues in non-positive curvatureFortier Bourque, Mr MUniversity of GlasgowSchool of Mathematics & Statistics 249,020
Systoles and eigenvalues in non-positive curvatureFortier Bourque, Mr MUniversity of GlasgowSchool of Mathematics & Statistics 249,020
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 Birch--Swinnerton-Dyer conjecture: beyond dimension 1Loeffler, Professor DUniversity of WarwickMathematics 101,034
The Birch--Swinnerton-Dyer conjecture: beyond dimension 1Zerbes, Professor SUCLMathematics 100,851
The Combinatorics of Mirror SymmetryKasprzyk, Dr AMUniversity of NottinghamSch of Mathematical Sciences 550,902
Toric vector bundles: Stability, Cohomology, and Applications.Hering, Dr MUniversity of EdinburghSch of Mathematics 939,180
Toric vector bundles: Stability, Cohomology, and Applications.Hering, Dr MUniversity of EdinburghSch of Mathematics 939,180
Vafa-Witten invariants of projective surfacesThomas, Professor RImperial College LondonMathematics 707,021

Total Number of Grants: 100
Total Value of Grants: £78,079,150

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