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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 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
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
Classifying spaces, proper actions and stable homotopy theoryPatchkoria, Dr IUniversity of AberdeenMathematical Sciences 298,276
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr RQueen Mary University of LondonSch of Mathematical Sciences 216,599
Constructions and properties of p-adic L-functions for GL(n)Williams, Dr CDUniversity of NottinghamSch of Mathematical Sciences 26,513
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
Explicit Methods for non-holomorphic Hilbert Modular FormsStromberg, Dr F KUniversity of NottinghamSch of Mathematical Sciences 356,966
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 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
Invariable generation in finite groups with applications to algorithmic number theoryTracey, Dr GUniversity of WarwickMathematics 162,667
Isaac Newton Institute for Mathematical SciencesTillmann, Professor UUniversity 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
Model theory of analytic functionsMantova, Dr VUniversity of LeedsPure Mathematics 875,396
Model theory, Diophantine geometry, and automorphic functionsAslanyan, Dr VUniversity of Manchester, TheMathematics 886,347
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
Overlapping iterated function systems: New approaches and breaking the super-exponential barrierBaker, Dr SPLoughborough UniversityMathematical Sciences 271,715
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
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
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 1Zerbes, Professor SUCLMathematics 100,851
The Farey framework for SL2-tilingsShort, Dr IThe Open UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 375,376
The Inhomogeneous Duffin-Schaeffer ConjectureBeresnevich, Professor VUniversity of YorkMathematics 80,984
Unitary representations of reductive p-adic groups: an algorithmCiubotaru, Professor DUniversity of OxfordMathematical Institute 202,261

Total Number of Grants: 37
Total Value of Grants: £41,010,733

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