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EPSRC Support by Research Area (Number Theory) 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 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
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
Cohen-Lenstra heuristics, Brauer relations, and low-dimensional manifoldsBartel, Professor AUniversity of GlasgowSchool of Mathematics & Statistics 744,455
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr ROpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 336,713
Constructions and properties of p-adic L-functions for GL(n)Williams, Dr CDUniversity of WarwickMathematics 310,002
Deformations of Saito-Kurokawa type Galois representationsBerger, Dr TTUniversity of SheffieldMathematics and Statistics 331,917
Derived and perverse methods in the local Langlands correspondenceHelm, Dr DImperial College LondonMathematics 197,438
Digitising the Langlands ProgramBuzzard, Professor KImperial College LondonMathematics 201,850
Dynamics of generalized Farey sequences with applications to equidistributionTseng, Dr JUniversity of ExeterMathematics 124,910
Effective Equidistribution in Diophantine Approximation : Theory, Interactions and Applications.Adiceam, Dr FUniversity of Manchester, TheMathematics 160,136
Explicit Methods for non-holomorphic Hilbert Modular FormsStromberg, Dr F KUniversity of NottinghamSch of Mathematical Sciences 356,966
Exponentially Algebraically Closed FieldsKirby, Dr JUniversity of East AngliaMathematics 319,862
Graphs in Representation TheorySchroll, Professor SUniversity of LeicesterMathematics 1,015,963
High energy spectral and scattering phenomena via microlocal analysisGalkowski, Dr JUCLMathematics 954,337
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
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
Isaac Newton Institute for Mathematical SciencesAbrahams, Professor IDUniversity of CambridgeIsaac Newton Institute (Math Science) 11,570,267
Local-global principles: arithmetic statistics and obstructionsNewton, Dr RDUniversity of ReadingMathematics and Statistics 121,502
Local-to-global principles for random Diophantine equationsSkorobogatov, Professor AImperial College LondonMathematics 202,414
Model theory of analytic functionsMantova, Dr VUniversity of LeedsPure Mathematics 875,396
Modular symbols and applicationsDiamantis, Professor NUniversity of NottinghamSch of Mathematical Sciences 331,558
Moduli of Elliptic Curves and Classical Diophantine ProblemsSiksek, Professor SUniversity of WarwickMathematics 386,239
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
Problems of Unlikely Intersections: The Zilber-Pink Conjecture for Shimura varietiesDaw, Dr C MUniversity of ReadingMathematics and Statistics 117,566
Quantitative arithmetic geometryLoughran, Dr DTUniversity of BathMathematical Sciences 49,870
Quantitative reduction theory and Diophantine geometryOrr, Dr MUniversity of WarwickMathematics 113,509
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
Structure vs Randomness in Algorithms and ComputationSanthanam, Professor RUniversity of OxfordComputer Science 201,326
Symmetries and correspondences: intra-disciplinary developments and applicationsFesenko, Professor IUniversity of NottinghamSch of Mathematical Sciences 2,331,858
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
Unitary representations of reductive p-adic groups: an algorithmCiubotaru, Professor DUniversity of OxfordMathematical Institute 202,261

Total Number of Grants: 42
Total Value of Grants: £44,612,786

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