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EPSRC Support by Research Area in Number Theory

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. All the grants listed below have some relevance to this research area. The value of the investment is the total awarded by EPSRC and does not reflect the proportion assigned to this research area.

We always try to ensure that grants on the web contains the most recent information but it is possible that some might be slightly out of date.

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
An overconvergent Riemann-Hilbert correspondenceLazda, Dr CDUniversity of ExeterMathematics 52,458
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
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
EPSRC Centre for Doctoral Training in Geometry and Number Theory at the InterfaceSinger, Professor MUCLMathematics 4,722,644
EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface: London School of Geometry and Number TheorySinger, Professor MUCLMathematics 5,982,217
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
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
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 BirminghamSchool of Mathematics 205,496
Isaac Newton Institute for Mathematical SciencesAbrahams, Professor IDUniversity of CambridgeIsaac Newton Institute (Math Science) 11,570,267
Local theta correspondence: a new study through the theories of types and l-modular representationsStevens, Professor SUniversity of East AngliaMathematics 417,076
Local-global principles: arithmetic statistics and obstructionsNewton, Dr RDKings College LondonMathematics 28,992
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 representation theory, Hilbert modular forms and the geometric Breuil-Mézard conjecture.Wiersema, Ms HUniversity of CambridgePure Maths and Mathematical Statistics 305,812
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
Moments of character sums and of the Riemann zeta function via multiplicative chaosHarper, Dr AJUniversity of WarwickMathematics 174,545
New bounds towards Fourier coefficients of Siegel modular formsSaha, Dr AQueen Mary University of LondonSch of Mathematical Sciences 80,624
Overlapping iterated function systems: New approaches and breaking the super-exponential barrierBaker, Dr SPUniversity of BirminghamSchool of Mathematics 271,715
P-adic L-functions and explicit reciprocity lawsLoeffler, Professor DUniversity of WarwickMathematics 327,737
Pointwise Convergence of Multiple Ergodic AveragesKrause, Dr BKings College LondonMathematics 409,738
Pseudorandom majorants over number fields with applications in arithmetic geometryFrei, Dr CGraz University of TechnologyResearch 21,009
Quantitative reduction theory and Diophantine geometryOrr, Dr MUniversity of Manchester, TheMathematics 46,613
Selmer groups, arithmetic statistics, and parity conjectures.Morgan, Dr A JUniversity of GlasgowSchool of Mathematics & Statistics 281,351
Strong subconvexity and an optimal large sieve inequality for PGL(2)Petrow, Dr IUCLMathematics 360,853
Structure vs Randomness in Algorithms and ComputationSanthanam, Professor RUniversity of OxfordComputer Science 201,326
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 Farey framework for SL2-tilingsShort, Dr IOpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 375,376
Unitary representations of reductive p-adic groups: an algorithmCiubotaru, Professor DUniversity of OxfordMathematical Institute 202,261

Total Number of Grants: 45
Total Value of Grants: £52,394,426

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