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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 (£)
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
Abstract rigidity for natural stability problemsNixon, Dr ALancaster UniversityMathematics and Statistics 428,712
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
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
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
Artin groups and diagram algebras via topologyBoyd, Dr RJUniversity of GlasgowSchool of Mathematics & Statistics 251,681
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
Characteristic polynomials for symmetric formsDotto, Dr EUniversity of WarwickMathematics 186,588
Classifying 4-manifoldsPowell, Dr MUniversity of GlasgowSchool of Mathematics & Statistics 253,330
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
Complex dynamics via tropical moduli spacesRamadas, Dr RUniversity of WarwickMathematics 222,999
Constructions and properties of p-adic L-functions for GL(n)Williams, Dr CDUniversity of NottinghamSch of Mathematical Sciences 26,513
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
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
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
Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And DeformationsGordon, Professor IUniversity of EdinburghSch of Mathematics 2,716,102
EPSRC-SFI: "CFT and Gravity: Heavy States and Black Holes"Russo, Dr RQueen Mary University of LondonPhysics 622,797
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
Fundamentals and applications of tropical schemesMaclagan, Professor DUniversity of WarwickMathematics 1,231,430
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
Geometric structures and twisted supersymmetryStrickland-Constable, Dr CUniversity of HertfordshireSchool of Physics, Eng & Computer Scienc 319,529
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
High energy spectral and scattering phenomena via microlocal analysisGalkowski, Dr JUCLMathematics 954,337
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
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
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
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
Minimal Models of FoliationsSpicer, Dr CKings College LondonMathematics 408,751
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
Model theory, Diophantine geometry, and automorphic functionsAslanyan, Dr VUniversity of Manchester, TheMathematics 886,347
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 Frontiers in Symplectic TopologyEvans, Dr JDLancaster UniversityMathematics and Statistics 656,359
New Frontiers in Symplectic TopologyLekili, Dr YImperial College LondonMathematics 854,187
Nonlinear critical point theory near singular solutionsSharp, Dr BUniversity of LeedsPure Mathematics 369,185
Optimal Grain Diagrams: Mathematical Analysis and AlgorithmsAlpers, Dr AUniversity of LiverpoolMathematical Sciences 234,024
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, Dr AUniversity of WarwickMathematics 299,943
Probabilistic and Topological methods in Real Algebraic Geometry and Computational ComplexityNatarajan, Dr AUniversity of WarwickMathematics 299,943
QALF hyperkähler metricsFoscolo, Dr LUCLMathematics 202,146
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
Renormalisation Group Interfaces in Tricritical Ising ModelKonechny, Dr AHeriot-Watt UniversityS of Mathematical and Computer Sciences 79,918
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
Singularities, symplectic topology and mirror symmetryKeating, Dr AMUniversity of CambridgePure Maths and Mathematical Statistics 722,294
Stability for nonlocal curvature functionalsScheuer, Dr JGoethe University FrankfurtFaculty of Computer Sciences & Mathemati 13,419
Stable hypersurfaces with prescribed mean curvatureBellettini, Professor CUCLMathematics 287,098
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 Birch--Swinnerton-Dyer conjecture: beyond dimension 1Zerbes, Professor SUCLMathematics 100,851
The Calabi problem for smooth Fano threefoldsKaloghiros, Dr ABrunel University LondonMathematics 217,851
The Calabi problem for smooth Fano threefoldsMartinez Garcia, Dr JUniversity of EssexMathematical Sciences 194,839
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 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
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

Total Number of Grants: 109
Total Value of Grants: £79,036,727

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