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EPSRC Support by Research Area in Mathematical Analysis

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to ensure that grants on the web contains the most recent information but it is possible that some might be slightly out of date.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 (£)
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
Advanced Numerical Methods for Mean Field GamesSmears, Dr I R NUCLMathematics 440,944
Anomalous diffusion via self-interaction and reflectionMijatovic, Professor AUniversity of WarwickStatistics 457,337
Anomalous diffusion via self-interaction and reflectionWade, Professor ARDurham, University ofMathematical Sciences 448,461
Automorphic forms on higher rank groups: Fourier coefficients, L-functions, and arithmeticSaha, Dr AQueen Mary University of LondonSch of Mathematical Sciences 465,129
Beyond direct-write: Dynamically reconfigurable holographic multibeam interference lithography for high-throughput nanomanufacturingJoyce, Professor HJUniversity of CambridgeEngineering 506,444
Big data for small patients - Building "child-size" individual predictive models for life after childhood cancerAznar, Dr MCUniversity of Manchester, TheSchool of Medical Sciences 1,195,833
Boundary representations of non-positively curved groupsSpakula, Dr JUniversity of SouthamptonSch of Mathematical Sciences 367,941
Cambridge Mathematics of Information in Healthcare (CMIH)Schönlieb, Professor CUniversity of CambridgeApplied Maths and Theoretical Physics 1,295,778
CHIMERA: Collaborative Healthcare Innovation through Mathematics, EngineeRing and AIShipley, Professor RJUCLMechanical Engineering 1,059,447
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
Complex dynamics via tropical moduli spacesRamadas, Dr RUniversity of WarwickMathematics 222,999
Complexity of random substitution tilingsSamuel, Dr TUniversity of BirminghamSchool of Mathematics 81,949
Computational methods for inverse problems subject to wave equations in heterogeneous mediaBurman, Professor ENUCLMathematics 534,151
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr RQueen Mary University of LondonSch of Mathematical Sciences 216,599
Concentration phenomena in nonlinear partial differential equations.Musso, Professor MUniversity of BathMathematical Sciences 301,578
Conformal Approach to Modelling Random AggregationTurner, Professor AGUniversity of LeedsStatistics 267,943
Coverage and connectivity in stochastic geometryPenrose, Professor MDUniversity of BathMathematical Sciences 460,885
Dimers and InteractionChhita, Dr SDurham, University ofMathematical Sciences 770,628
DMS-EPSRC: Asymptotic Analysis of Online Training Algorithms in Machine Learning: Recurrent, Graphical, and Deep Neural NetworksSirignano, Professor JUniversity of OxfordMathematical Institute 409,469
DMS-EPSRC: Fast martingales, large deviations and randomised gradients for heavy-tailed target distributionsMijatovic, Professor AUniversity of WarwickStatistics 662,611
DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale ApplicationsChen, Professor GUniversity of OxfordMathematical Institute 602,165
Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problemsDiscacciati, Dr MLoughborough UniversityMathematical Sciences 244,479
Dynamics of singular stochastic nonlinear dispersive PDEsWang, Dr YUniversity of BirminghamSchool of Mathematics 259,229
Elasticity: on the interface between statics and dynamicsKoumatos, Dr KUniversity of SussexSch of Mathematical & Physical Sciences 318,832
EPSRC Centre for Doctoral Training in Mathematical Modelling, Analysis and Computation (MAC-MIGS)Leimkuhler, Professor BUniversity of EdinburghSch of Mathematics 6,384,736
EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and SimulationCONT, Professor RUniversity of OxfordMathematical Institute 6,900,866
EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at BathCox, Professor AMGUniversity of BathMathematical Sciences 5,404,293
EPSRC Hub for Quantitative Modelling in HealthcareTsaneva-Atanasova, Professor KTUniversity of ExeterMathematics 1,231,618
Fourier analytic techniques in finite fieldsFraser, Professor JMUniversity of St AndrewsMathematics and Statistics 50,597
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 EquationsTopping, Professor PUniversity of WarwickMathematics 36,570
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 EquationsMoser, Professor RUniversity of BathMathematical Sciences 55,327
Generalised and Low-Regularity Solutions of Nonlinear Partial Differential EquationsDragoni, Dr FCardiff UniversitySch of Mathematics 46,696
Geometric Aspects of Complex Differential EquationsKecker, Dr TUniversity of PortsmouthSch of Mathematics and Physics 201,419
Geometric eigenvalue bounds for the Dirichlet-to-Neumann OperatorHassannezhad, Dr AUniversity of BristolMathematics 273,051
Geometric Flows and the Dynamics of Phase TransitionsNguyen, Dr TQueen Mary University of LondonSch of Mathematical Sciences 413,909
Harmonic analysis techniques in spectral theoryCuenin, Dr JLoughborough UniversityMathematical Sciences 250,009
High energy spectral and scattering phenomena via microlocal analysisGalkowski, Dr JUCLMathematics 954,337
Homogenization of random walks: degenerate environments and long-range jumpsAndres, Dr SUniversity of Manchester, TheMathematics 253,990
Hyperbolic problems with discontinuous coefficientsGaretto, Dr CQueen Mary University of LondonSch of Mathematical Sciences 543,258
Image-driven subject-specific spine modelsHolt, Professor CCardiff UniversitySch of Engineering 447,974
Image-driven subject-specific spine modelsMeakin, Professor JRUniversity of ExeterPhysics 814,280
Integrable models and deformations of vertex algebras via symmetric functionsKorff, Professor CUniversity of GlasgowSchool of Mathematics & Statistics 278,228
Integrable models and deformations of vertex algebras via symmetric functionsWood, Dr SJCardiff UniversitySch of Mathematics 316,853
Integrating data-driven biophysical models into respiratory medicine - BIOREMEBrook, Professor BUniversity of NottinghamSch of Mathematical Sciences 763,404
International Centre For Mathematical Sciences 2018Kim, Professor MHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
Interplay between geometry and randomness in fitness landscapes for expanding populationsOrtgiese, Dr MUniversity of BathMathematical Sciences 435,328
Isaac Newton Institute for Mathematical SciencesTillmann, Professor UUniversity of CambridgeIsaac Newton Institute (Math Science) 11,570,267
Large deviation techniques for model coarse grainingGrafke, Dr TUniversity of WarwickMathematics 181,373
Large-N limit of horizontal Brownian motions on Lie groupsHabermann, Dr KUniversity of WarwickStatistics 56,725
Limit theorems for zeroes of Gaussian processes.Buckley, Dr JKings College LondonMathematics 272,948
Making Cubature on Wiener Space WorkLitterer, Dr CUniversity of YorkMathematics 105,205
Mathematical theory of polycrystalline materialsBall, Professor Sir JHeriot-Watt UniversityS of Mathematical and Computer Sciences 576,848
Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad)Kyprianou, Professor AUniversity of WarwickStatistics 5,761,842
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
Mean Field Games and Master equationsMeszaros, Dr A RDurham, University ofMathematical Sciences 304,676
Minimal Models of FoliationsSpicer, Dr CKings College LondonMathematics 408,751
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, Professor RCity, University of LondonActuarial Science and Insurance 440,401
Moments of character sums and of the Riemann zeta function via multiplicative chaosHarper, Dr AJUniversity of WarwickMathematics 174,545
Multi-Scale Stochastic Dynamics with Fractional NoiseChandra, Dr AImperial College LondonMathematics 503,403
Next generation particle filters for stochastic partial differential equationsCotter, Professor CImperial College LondonMathematics 304,745
Noncommutative statistical mechanics: probability at the confluenceBlitvic, Dr NQueen Mary University of LondonSch of Mathematical Sciences 100,949
Nonlinear critical point theory near singular solutionsSharp, Dr BUniversity of LeedsPure Mathematics 369,185
Nonlocal Hydrodynamic Models of Interacting AgentsZatorska, Dr EImperial College LondonMathematics 1,003,793
Novel Phenomena in Steklov Type ProblemsGalkowski, Dr JUCLMathematics 528,439
Novel Phenomena in Steklov Type ProblemsLevitin, Professor MUniversity of ReadingMathematics and Statistics 73,601
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
Optimal Impartial MechanismsFischer, Dr FQueen Mary University of LondonSch of Mathematical Sciences 192,474
Overlapping iterated function systems: New approaches and breaking the super-exponential barrierBaker, Dr SPLoughborough UniversityMathematical Sciences 271,715
Particle systems, growth models and their probabilistic structuresBalazs, Dr MUniversity of BristolMathematics 396,819
PDEs and dynamical systemsRobinson, Professor JCUniversity of WarwickMathematics 13,737
Pointwise Convergence of Multiple Ergodic AveragesKrause, Dr BKings College LondonMathematics 409,738
Predictable Variations in Stochastic CalculusRuf, Professor JLondon School of Economics & Pol SciMathematics 77,291
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
Quasiperiodic Schroedinger operators with well-approximated frequenciesShamis, Dr MQueen Mary University of LondonSch of Mathematical Sciences 38,973
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
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
Rigidity Problems in Holography and RelativityShao, Dr C AQueen Mary University of LondonSch of Mathematical Sciences 77,733
Rough Volatility: A Trojan horse into modern Financial computingJacquier, Dr AImperial College LondonMathematics 793,840
Shock Waves in Gas DynamicsSchrecker, Dr M R IUCLMathematics 305,865
Singularities and mixing in Euler flowsHadzic, Dr MUCLMathematics 957,306
Spatiotemporal statistical machine learning (ST-SML): theory, methods, and applicationsFlaxman, Dr SUniversity of OxfordComputer Science 1,175,699
Spectral analysis of micro-resonant PDEs with random coefficientsCapoferri, Dr MHeriot-Watt UniversityS of Mathematical and Computer Sciences 317,449
Spectral statistics for random hyperbolic surfacesMarklof, Professor JUniversity of BristolMathematics 360,754
Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacityAkman, Dr MUniversity of EssexMathematical Sciences 252,207
Statistical theory of controlled quantum dynamicsGuta, Dr MIUniversity of NottinghamSch of Mathematical Sciences 353,208
Stochastic Numerics for Sampling on ManifoldsTretyakov, Professor MUniversity of NottinghamSch of Mathematical Sciences 80,189
Stochastic processes on random graphs with clusteringWang, Dr MUniversity of SussexSch of Mathematical & Physical Sciences 254,240
Structures and universalities around the Kardar-Parisi-Zhang equationZygouras, Professor NUniversity of WarwickStatistics 902,765
The fixed point of the KPZ universalityZygouras, Professor NUniversity of WarwickMathematics 80,580
The Higman-Thompson groups, their generalisations, and automorphisms of shift spacesOlukoya, Dr FUniversity of St AndrewsMathematics and Statistics 298,344
The Inhomogeneous Duffin-Schaeffer ConjectureBeresnevich, Professor VUniversity of YorkMathematics 80,984
The Supreme Challenges of Supremal FunctionalsMoser, Professor RUniversity of BathMathematical Sciences 242,780
The Supreme Challenges of Supremal FunctionalsKatzourakis, Dr NUniversity of ReadingMathematics and Statistics 186,189
Theoretical foundations of inference in the presence of large numbers of nuisance parametersBattey, Dr HImperial College LondonMathematics 792,229
Tomographic Fourier AnalysisBennett, Professor JUniversity of BirminghamSchool of Mathematics 407,323
Topological Phase Transitions In Stochastic GeometryBobrowski, Dr OQueen Mary University of LondonSch of Mathematical Sciences 396,018
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
Transfer operators and emergent dynamics in hyperbolic systemsPollicott, Professor MUniversity of WarwickMathematics 33,160
Transfer operators and emergent dynamics in hyperbolic systemsBahsoun, Professor WLoughborough UniversityMathematical Sciences 390,414
Two-dimensional stochastic Yang-Mills equationsChevyrev, Dr IAUniversity of EdinburghSch of Mathematics 307,181
Uncertainty Quantification at the Exascale (EXA-UQ)Challenor, Professor PUniversity of ExeterMathematics 1,006,031
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
Using high temporal resolution sensor data to support independent livingMueller, Dr MUniversity of ExeterMathematics 412,004
Validated numerics for Iterated Function Schemes, Dynamical Systems and Random WalksPollicott, Professor MUniversity of WarwickMathematics 405,125
Variational structures, convergence to equilibrium and multiscale analysis for non-Markovian systemsDuong, Dr HUniversity of BirminghamSchool of Mathematics 282,382
Workshop : 70 Years of PercolationSousi, Dr PUniversity of CambridgePure Maths and Mathematical Statistics 34,638

Total Number of Grants: 121
Total Value of Grants: £103,955,707

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