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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to ensure that grants on the web contains the most recent information but it is possible that some might be slightly out of date.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 (£)
A new paradigm for spectral localisation of operator pencils and analytic operator-valued functionsMarletta, Professor MCardiff UniversitySch of Mathematics 324,844
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 SciencesAbrahams, Professor IDUniversity of CambridgeIsaac Newton Institute (Math Science) 10,000,000
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
At the interface between semiclassical analysis and numerical analysis of wave propagation problemsSpence, Professor 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
Beyond direct-write: Dynamically reconfigurable holographic multibeam interference lithography for high-throughput nanomanufacturingJoyce, Dr H JUniversity of CambridgeEngineering 506,444
Bifurcations of random dynamical systems with bounded noiseLamb, Professor JSImperial College LondonMathematics 80,641
Big data for small patients - Building "child-size" individual predictive models for life after childhood cancerAznar, Dr MMUniversity 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
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
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
Collisionless matter in general relativityTaylor, Dr MImperial College LondonMathematics 80,628
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
Computational microscopy in Cambridge Advanced Imaging CentreMuresan, Dr LUniversity of CambridgePhysiology Development and Neuroscience 450,498
Computing algebraic invariants of symbolic dynamical systemsYassawi, Dr RThe Open 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, Professor AGUniversity of LeedsStatistics 267,943
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
Developing mathematics of new composites of metamaterialsKisil, Dr AUniversity of Manchester, TheMathematics 79,251
Dimers and InteractionChhita, Dr SDurham, University ofMathematical Sciences 770,628
Disease Spread at High OrderHigham, Professor DUniversity of EdinburghSch of Mathematics 71,086
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
Effective Equidistribution in Diophantine Approximation : Theory, Interactions and Applications.Adiceam, Dr FUniversity of Manchester, TheMathematics 160,136
Elliptic discrete integrable systems and bi-elliptic addition formulaeNijhoff, Professor FWUniversity of LeedsApplied Mathematics 65,857
EPSRC Centre for Doctoral Training in Mathematical Analysis and its Applications:Maxwell Institute Graduate School in Analysis & Applications - MIGSAACarbery, Professor AUniversity of EdinburghSch of Mathematics 4,585,220
EPSRC Centre for Doctoral Training in Mathematical Modelling, Analysis and Computation (MAC-MIGS)Leimkuhler, Professor BUniversity of EdinburghSch of Mathematics 6,157,235
EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and SimulationCONT, Professor RUniversity of OxfordMathematical Institute 6,673,365
EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and ApplicationsChen, Professor GUniversity of OxfordMathematical Institute 4,325,189
EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at BathKyprianou, Professor AUniversity of BathMathematical Sciences 5,229,995
EPSRC Hub for Quantitative Modelling in HealthcareTsaneva-Atanasova, Professor KTUniversity of ExeterMathematics 1,231,618
Functional Calculus for Pathwise HedgingMuhle-Karbe, Professor JImperial College LondonMathematics 80,257
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 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 EquationsDragoni, Dr FCardiff UniversitySch of Mathematics 46,696
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 EquationsChen, Professor GUniversity of OxfordMathematical Institute 37,180
Generalised Hörmander-Rellich-Pohozhaev-Morawetz identities and their applications in spectral geometryLevitin, Professor MUniversity of ReadingMathematics and Statistics 49,555
Geodesic Currents and Counting ProblemsErlandsson, Dr VBVUniversity of BristolMathematics 269,274
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
Gibbs measures for nonlinear Schrodinger equations and many-body quantum mechanicsSohinger, Dr VUniversity of WarwickMathematics 188,241
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, Dr 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
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
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 StructuresYassawi, Dr RThe Open UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 348,847
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 BathMathematical Sciences 6,001,426
Mathematical verification for a novel Navier-Stokes representationChadwick, Dr EAUniversity of SalfordSch of Science,Engineering & Environment 78,820
McKean Vlasov Stochastic Partial Differential EquationsOttobre, Dr MHeriot-Watt UniversityS of Mathematical and Computer Sciences 28,372
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
Moments of character sums and of the Riemann zeta function via multiplicative chaosHarper, Dr AJUniversity of WarwickMathematics 174,545
Multidimensional moment problems and the quantum-classic divideKimsey, Dr DNewcastle UniversitySch of Maths, Statistics and Physics 98,551
Multi-Scale Stochastic Dynamics with Fractional NoiseLi, Professor XImperial 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 NLancaster UniversityMathematics and Statistics 201,866
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 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 FieldLedger, Dr PDKeele UniversityFaculty of Natural Sciences 430,151
Object Detection, Location and Identification at Radio Frequencies in the Near FieldLionheart, Professor WRBUniversity of Manchester, TheMathematics 162,191
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
Overlapping iterated function systems: New approaches and breaking the super-exponential barrierBaker, Dr SPLoughborough UniversityMathematical Sciences 271,715
Parallel-in-time computation for sedimentary landscapesCotter, Professor CImperial College LondonMathematics 80,620
Particle systems, growth models and their probabilistic structuresBalazs, Dr MUniversity of BristolMathematics 396,819
Path-to-signature isometries with applications to modelling the long-term dynamics of complex systemsPapavasiliou, Dr AUniversity of WarwickStatistics 51,276
PDEs and dynamical systemsRobinson, Professor JCUniversity of WarwickMathematics 13,737
Pointwise Convergence of Multiple Ergodic AveragesKrause, Dr BKings College LondonMathematics 409,738
Poisson 2021Novak, Dr SMiddlesex UniversityFaculty of Science & Technology 45,726
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 LancashireJeremiah Horrocks Institute 51,885
Quantum groups in actionVoigt, Dr CUniversity of GlasgowSchool of Mathematics & Statistics 263,286
Quasiperiodic Schroedinger operators with well-approximated frequenciesShamis, Dr MQueen Mary University of LondonSch of Mathematical Sciences 38,973
Random environments, stochastic equations, and randomized algorithmsFehrman, Dr B JUniversity of OxfordMathematical Institute 853,552
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
Rigorous coarse-graining of defects at positive temperatureDuong, Dr HUniversity of BirminghamSchool of Mathematics 38,694
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
Shock Waves in Gas DynamicsSchrecker, Dr M R IUCLMathematics 305,865
Singularities and mixing in Euler flowsHadzic, Dr MUCLMathematics 957,306
Soliton gas at the crossroads of dispersive and generalised hydrodynamicsEl, Professor GNorthumbria, University ofFac of Engineering and Environment 80,498
Spatiotemporal statistical machine learning (ST-SML): theory, methods, and applicationsFlaxman, Dr SUniversity of OxfordComputer Science 1,175,699
Spectral properties of interface problems for Maxwell systemsWood, Dr IUniversity of KentSch of Maths Statistics & Actuarial Sci 19,417
Spectral properties of interface problems for Maxwell systemsSchmidt, Professor KCardiff UniversityComputer Science 23,761
Spectral statistics for random hyperbolic surfacesMarklof, Professor JUniversity of BristolMathematics 360,754
Stability for nonlocal curvature functionalsScheuer, Dr JCardiff UniversitySch of Mathematics 37,277
Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacityAkman, Dr MUniversity of EssexMathematical Sciences 252,207
Stable and unstable almost-periodic problemsParnovski, Professor LUCLMathematics 520,541
Stable hypersurfaces with prescribed mean curvatureBellettini, Professor 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
Stochastic Perturbation Theory for Machine LearningLotz, Dr MAUniversity of WarwickMathematics 60,973
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
Theoretical foundations of inference in the presence of large numbers of nuisance parametersBattey, Dr HImperial College LondonMathematics 792,229
Theoretical guarantees on functional Lloyd's algorithm and functional k-means clusteringYu, Dr YUniversity of WarwickStatistics 30,218
Tomographic Fourier AnalysisBennett, Professor JUniversity of BirminghamSchool of Mathematics 407,323
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
Towards universality of delayed and quickened bifurcations in biological signallingDalwadi, Dr MUCLMathematics 75,451
Transfer operators and emergent dynamics in hyperbolic systemsBahsoun, Professor WLoughborough UniversityMathematical Sciences 390,414
Transfer operators and emergent dynamics in hyperbolic systemsPollicott, Professor MUniversity of WarwickMathematics 33,160
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
Wave transport in low-density matter, Siegel theta functions, and homogeneous flowsMarklof, Professor JUniversity of BristolMathematics 639,743
Workshop on scaling limits: from statistical mechanics to manifoldsSousi, Dr PUniversity of CambridgePure Maths and Mathematical Statistics 19,417
Workshop: UK Easter Probability Meeting 2023Jin, Dr XUniversity of Manchester, TheMathematics 24,812

Total Number of Grants: 143
Total Value of Grants: £117,067,845

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