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EPSRC Support by Research Area (Mathematical Analysis) 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 geometric view of extremes in dynamical systemsHolland, Dr MPUniversity of ExeterMathematics 344,231
A New Approach to Bernoulli Convolutions and Salem NumbersKempton, Dr TUniversity of Manchester, TheMathematics 28,700
A new paradigm for spectral localisation of operator pencils and analytic operator-valued functionsMarletta, Professor MCardiff UniversitySch of Mathematics 324,844
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
Advances in Mean Curvature Flow: Theory and ApplicationsBuzano, Dr RQueen Mary University of LondonSch of Mathematical Sciences 613,223
Assessing spatial heterogeneity through random walks on graphsNicosia, Dr VQueen Mary University of LondonSch of Mathematical Sciences 162,887
At the interface between semiclassical analysis and numerical analysis of wave propagation problemsSpence, Dr EAUniversity of BathMathematical Sciences 1,027,193
Automorphic forms on higher rank groups: Fourier coefficients, L-functions, and arithmeticSaha, Dr AQueen Mary University of LondonSch of Mathematical Sciences 465,129
Boundary Conditions for Atomistic Simulation of Material DefectsOrtner, Professor CUniversity of WarwickMathematics 442,958
Boundary representations of non-positively curved groupsSpakula, Dr JUniversity of SouthamptonSch of Mathematical Sciences 367,941
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
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
Community Detection And Dynamics in Temporal NetworksLambiotte, Professor RRUniversity of OxfordMathematical Institute 403,371
Computational methods for inverse problems subject to wave equations in heterogeneous mediaBurman, Professor ENUCLMathematics 534,151
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr ROpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 336,713
Concentration phenomena in nonlinear partial differential equations.Musso, Professor MUniversity of BathMathematical Sciences 301,578
Conformal Approach to Modelling Random AggregationTurner, Dr A GLancaster UniversityMathematics and Statistics 402,917
Constrained many-body quantum systemsLazarides, Dr ALoughborough UniversityMathematical Sciences 243,449
Coverage and connectivity in stochastic geometryPenrose, Professor MDUniversity of BathMathematical Sciences 460,885
Deterministic and probabilistic dynamics of nonlinear dispersive PDEsPocovnincu, Dr OHeriot-Watt UniversityS of Mathematical and Computer Sciences 231,262
Dimers and InteractionChhita, Dr SDurham, University ofMathematical Sciences 770,628
DMS-EPSRC: Fast martingales, large deviations and randomised gradients for heavy-tailed target distributionsMijatovic, Professor AUniversity of WarwickStatistics 662,611
Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problemsDiscacciati, Dr MLoughborough UniversityMathematical Sciences 244,479
Dynamical zeta functions and resonances for infinite area surfacesPollicott, Professor MUniversity of WarwickMathematics 394,485
Dynamics of generalized Farey sequences with applications to equidistributionTseng, Dr JUniversity of ExeterMathematics 124,910
Dynamics of singular stochastic nonlinear dispersive PDEsWang, Dr YUniversity of BirminghamSchool of Mathematics 259,229
Effective Equidistribution in Diophantine Approximation : Theory, Interactions and Applications.Adiceam, Dr FUniversity of Manchester, TheMathematics 160,136
Emergence of hydrodynamics in many-body systems: new rigorous avenues from functional analysisDoyon, Professor BKings College LondonMathematics 78,798
Exploring instability in complex systems - simulations in no-man's landSieber, Dr JUniversity of ExeterMathematics 639,000
Fourier analytic techniques in geometry and analysisFraser, Dr JMUniversity of St AndrewsMathematics and Statistics 336,123
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsKatzourakis, Dr NUniversity of ReadingMathematics and Statistics 33,521
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsScardia, Dr LHeriot-Watt UniversityS of Mathematical and Computer Sciences 35,960
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsScardia, Dr LHeriot-Watt UniversityS of Mathematical and Computer Sciences 35,960
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsMoser, Professor RUniversity of BathMathematical Sciences 55,327
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsMoser, Professor RUniversity of BathMathematical Sciences 55,327
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsKatzourakis, Dr NUniversity of ReadingMathematics and Statistics 33,521
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsDragoni, Dr FCardiff UniversitySch of Mathematics 46,696
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsChen, Professor GUniversity of OxfordMathematical Institute 37,180
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsChen, Professor GUniversity of OxfordMathematical Institute 37,180
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsTopping, Professor PUniversity of WarwickMathematics 36,570
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsTopping, Professor PUniversity of WarwickMathematics 36,570
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsDragoni, Dr FCardiff UniversitySch of Mathematics 46,696
Generalised Magnetic Polarizability Tensors: Invariants and Symmetry GroupsLedger, Dr PDKeele UniversityFaculty of Natural Sciences 42,254
Generalised Magnetic Polarizability Tensors:Invariants and Symmetry GroupsLionheart, Professor WRBUniversity of Manchester, TheMathematics 36,056
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
Gibbs measures for nonlinear Schrodinger equations and many-body quantum mechanicsSohinger, Dr VUniversity of WarwickMathematics 188,241
High energy spectral and scattering phenomena via microlocal analysisGalkowski, Dr JUCLMathematics 954,337
Hyperbolic problems with discontinuous coefficientsGaretto, Dr CLoughborough UniversityMathematical Sciences 587,022
Integral equations on fractal domains: analysis and computationHewett, Dr DUCLMathematics 248,329
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
IWOTA Lancaster 2020: International Workshop on Operator Theory and its Applications to be held at Lancaster from 17th to 21st August 2020Blower, Professor GLancaster UniversityMathematics and Statistics 39,557
Jordan Algebras, Finsler Geometry and DynamicsLemmens, Dr BUniversity of KentSch of Maths Statistics & Actuarial Sci 310,787
Large deviation techniques for model coarse grainingGrafke, Dr TUniversity of WarwickMathematics 181,373
Limit analysis of debonding states in multi-body systems of stochastic hyperelastic materialMihai, Dr ACardiff UniversitySch of Mathematics 290,844
Limit shapes for square ice and tails of the KPZ equationBothner, Dr T JUniversity of BristolMathematics 265,588
Limit theorems for zeroes of Gaussian processes.Buckley, Dr JKings College LondonMathematics 272,948
Lyapunov Exponents and Spectral Properties of Aperiodic StructuresGrimm, Professor UGOpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 348,847
Making Cubature on Wiener Space WorkLitterer, Dr CUniversity of YorkMathematics 105,205
Mathematical analysis of strongly correlated processes on discrete dynamic structuresde Oliveira Stauffer, Dr AUniversity of BathMathematical Sciences 886,922
Mathematical theory of polycrystalline materialsBall, Professor Sir JHeriot-Watt UniversityS of Mathematical and Computer Sciences 576,848
Mathematical verification for a novel Navier-Stokes representationChadwick, Dr EAUniversity of SalfordSch of Science,Engineering & Environment 78,820
Mean curvature measure of free boundaryKarakhanyan, Dr AUniversity of EdinburghSch of Mathematics 485,481
Mirror symmetry, quantum curves and integrable systemsBrini, Dr AUniversity of SheffieldMathematics and Statistics 833,984
Mixed Semi-Continuous Copula Additive Regression Models with Applications in Insurance and Health CareRadice, Dr RCity, University of LondonActuarial Science and Insurance 440,401
Multi-Scale Stochastic Dynamics with Fractional NoiseLi, Professor XImperial College LondonMathematics 503,403
New limit properties for infinite measure preserving systemsTerhesiu, Dr DLeiden UniversityMathematics & Natural Sciences 139,982
New techniques for old problems in number theoryChow, Dr SUniversity of WarwickMathematics 201,403
Noncommutative statistical mechanics: probability at the confluenceBlitvic, Dr NLancaster UniversityMathematics and Statistics 201,866
Nonlinear geometric inverse problemsPaternain, Professor GUniversity of CambridgePure Maths and Mathematical Statistics 325,635
Nonlocal Hydrodynamic Models of Interacting AgentsZatorska, Dr EImperial College LondonMathematics 1,003,793
Nonlocal Hydrodynamic Models of Interacting AgentsZatorska, Dr EImperial College LondonMathematics 1,003,793
Novel Phenomena in Steklov Type ProblemsLevitin, Professor MUniversity of ReadingMathematics and Statistics 73,601
Novel Phenomena in Steklov Type ProblemsGalkowski, Dr JUCLMathematics 528,439
Object Detection, Location and Identification at Radio Frequencies in the Near FieldLionheart, Professor WRBUniversity of Manchester, TheMathematics 162,191
Object Detection, Location and Identification at Radio Frequencies in the Near FieldLedger, Dr PDKeele UniversityFaculty of Natural Sciences 430,151
On the way to the asymptotic limit: mathematics of slow-fast coupling in PDEsWingate, Professor BUniversity of ExeterMathematics 849,609
Operator Algebras of Product SystemsKakariadis, Dr ENewcastle UniversitySch of Maths, Statistics and Physics 25,179
Optimal Impartial MechanismsFischer, Dr FQueen Mary University of LondonSch of Mathematical Sciences 192,474
PDEs and dynamical systemsRobinson, Professor JCUniversity of WarwickMathematics 13,737
Quantitative Estimates In Spectral Theory and Their ComplexityBen-Artzi, Dr JCardiff UniversitySch of Mathematics 977,978
Quantitative estimates of discretisation and modelling errors in variational data assimilation for incompressible flowsBurman, Professor ENUCLMathematics 499,489
Quantitative tools for upscaling the micro-geometry of resonant mediaCherednichenko, Professor KUniversity of BathMathematical Sciences 314,865
Quantum groups in actionDaws, Dr MUniversity of Central LancashireSch of Physical Sciences and Computing 51,885
Quantum groups in actionVoigt, Dr CUniversity of GlasgowSchool of Mathematics & Statistics 263,286
Quasicrystals: how and why do they form?Archer, Professor AJLoughborough UniversityMathematical Sciences 293,504
Quasicrystals: how and why do they form?Rucklidge, Professor AUniversity of LeedsApplied Mathematics 49,502
Random environments, stochastic equations, and randomized algorithmsFehrman, Dr B JUniversity of OxfordMathematical Institute 853,552
Random environments, stochastic equations, and randomized algorithmsFehrman, Dr B JUniversity of OxfordMathematical Institute 853,552
Random graph structures and their scaling limitsGoldschmidt, Professor CAUniversity of OxfordStatistics 1,062,939
Random Hessians and Jacobians: theory and applicationsFyodorov, Professor YKings College LondonMathematics 824,648
Random Periodicity in Dynamics with UncertaintyZhao, Professor HDurham, University ofMathematical Sciences 817,931
Random walks in dynamic random environmentsKious, Dr DUniversity of BathMathematical Sciences 293,009
Regularity in affiliated von Neumann algebras and applications to partial differential equationsRuzhansky, Professor MQueen Mary University of LondonSch of Mathematical Sciences 307,764
Resurgence and parametric asymptotics: exact results at all scalesVarela Aniceto, Dr IUniversity of SouthamptonSch of Mathematical Sciences 426,226
Ricci flow of manifolds with singularities at infinityTopping, Professor PUniversity of WarwickMathematics 362,678
Robust, Scalable Sequential Monte Carlo with Application To Urban Air QualityJohansen, Professor AMUniversity of WarwickStatistics 621,930
Rough Volatility: A Trojan horse into modern Financial computingJacquier, Dr AImperial College LondonMathematics 793,840
Sharp Fourier Restriction TheoryOliveira e Silva, Dr DUniversity of BirminghamSchool of Mathematics 246,055
Singularities and mixing in Euler flowsHadzic, Dr MUCLMathematics 957,306
Solving Maxwell's equations using deep learningMunro, Dr P R TUCLMedical Physics and Biomedical Eng 201,967
Spatiotemporal statistical machine learning (ST-SML): theory, methods, and applicationsFlaxman, Dr SImperial College LondonMathematics 1,373,776
Stable and unstable almost-periodic problemsParnovski, Professor LUCLMathematics 520,541
Stable hypersurfaces with prescribed mean curvatureBellettini, Dr CUCLMathematics 287,098
Statistical theory of controlled quantum dynamicsGuta, Dr MIUniversity of NottinghamSch of Mathematical Sciences 353,208
Stochastic iterative regularization: theory, algorithms and applicationsJin, Professor BUCLComputer Science 385,265
Structures and universalities around the Kardar-Parisi-Zhang equationZygouras, Professor NUniversity of WarwickStatistics 902,765
The emergence of universal behaviour for growth models, stochastic PDEs and random operators.Cannizzaro, Dr GUniversity of WarwickStatistics 353,129
Theoretical foundations of inference in the presence of large numbers of nuisance parametersBattey, Dr HImperial College LondonMathematics 792,229
TOPOLOGY OF SOBOLEV SPACES AND QUASICONVEXITY: MULTIPLICITY AND SINGULARITY ANALYSIS FOR EXTREMALS AND LOCAL MINIMIZERSTaheri, Dr AUniversity of SussexSch of Mathematical & Physical Sciences 438,623
Transfer operator methods for modelling high-frequency wave fields - advancements through modern functional and numerical analysisBandtlow, Dr OQueen Mary University of LondonSch of Mathematical Sciences 634,829
Transfer operators and emergent dynamics in hyperbolic systemsBahsoun, Dr WLoughborough UniversityMathematical Sciences 390,414
Transfer operators and emergent dynamics in hyperbolic systemsPollicott, Professor MUniversity of WarwickMathematics 33,160
Understanding and developing new noise reduction mechanisms for aerofoils in unsteady flow through the use of analytical mathematicsAyton, Dr LUniversity of CambridgeApplied Maths and Theoretical Physics 605,042
Unparameterised multi-modal data, high order signatures, and the mathematics of data scienceLyons, Professor TUniversity of OxfordMathematical Institute 4,100,854
Variational structures, convergence to equilibrium and multiscale analysis for non-Markovian systemsDuong, Dr HUniversity of BirminghamSchool of Mathematics 282,382
Von Neumann techniques in C*-algebrasWhite, Professor SAUniversity of OxfordMathematical Institute 146,969
Wave transport in low-density matter, Siegel theta functions, and homogeneous flowsMarklof, Professor JUniversity of BristolMathematics 639,743
Workshop on Operator Algebras: Subfactors, K-Theory and Conformal Field TheoryLechner, Dr GCardiff UniversitySch of Mathematics 18,585
Workshop on Operator Algebras: Subfactors, K-Theory and Conformal Field TheoryLechner, Dr GCardiff UniversitySch of Mathematics 18,585
Workshop on scaling limits: from statistical mechanics to manifoldsSousi, Dr PUniversity of CambridgePure Maths and Mathematical Statistics 19,417
Workshop: modern trends in controlled stochastic processes: theory and applicationsPiunovskiy, Dr AUniversity of LiverpoolMathematical Sciences 41,571

Total Number of Grants: 127
Total Value of Grants: £80,397,958

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