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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 ExeterMathematical Sciences 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
Advances in Mean Curvature Flow: Theory and ApplicationsBuzano, Dr RQueen Mary University of LondonSch of Mathematical Sciences 613,223
An operator-theoretic approach to graph rigidityKitson, Dr DLancaster UniversityMathematics and Statistics 121,986
Analysis of models for large-scale geophysical flowsPelloni, Professor BHeriot-Watt UniversityS of Mathematical and Computer Sciences 293,109
Applications of space filling curves to substitution tilingsWhittaker, Dr M FUniversity of GlasgowSchool of Mathematics & Statistics 101,091
Assessing spatial heterogeneity through random walks on graphsNicosia, Dr VQueen Mary University of LondonSch of Mathematical Sciences 162,887
Asymptotic solutions of the plasmonic eigenvalue problem and applicationsSchnitzer, Dr OImperial College LondonMathematics 195,100
At the interface between semiclassical analysis and numerical analysis of wave propagation problemsSpence, Dr EAUniversity of BathMathematical Sciences 1,027,193
Boundary Conditions for Atomistic Simulation of Material DefectsOrtner, Professor CUniversity of WarwickMathematics 442,958
Categorical Symplectic TopologySmith, Professor IUniversity of CambridgePure Maths and Mathematical Statistics 1,006,061
Classifying Wandering DomainsStallard, Professor GOpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 390,936
Cluster algebras, Teichmüller theory and Macdonald polynomialsMazzocco, Professor MUniversity of BirminghamSchool of Mathematics 338,446
Concentration phenomena in nonlinear partial differential equations.Musso, Professor MUniversity of BathMathematical Sciences 301,578
Critical Exponents and Thermodynamic Formalism on Geometrically Infinite SpacesSharp, Professor RUniversity of WarwickMathematics 316,242
Data-Driven Coarse-Graining using Space-Time Diffusion MapsLeimkuhler, Professor BUniversity of EdinburghSch of Mathematics 304,822
Designer Microstructure via Optimal Transport TheoryBourne, Dr DHeriot-Watt UniversityS of Mathematical and Computer Sciences 92,456
Deterministic and probabilistic dynamics of nonlinear dispersive PDEsPocovnicu, Dr OHeriot-Watt UniversityS of Mathematical and Computer Sciences 231,262
Dimers and InteractionChhita, Dr SDurham, University ofMathematical Sciences 770,628
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 ExeterEngineering Computer Science and Maths 124,910
Exact solutions for discrete and continuous nonlinear systemsMikhailov, Professor AVUniversity of LeedsApplied Mathematics 212,717
Exact solutions for discrete and continuous nonlinear systemsWang, Professor JUniversity of KentSch of Maths Statistics & Actuarial Scie 202,787
Exploring instability in complex systems - simulations in no-man's landSieber, Dr JUniversity of ExeterEngineering Computer Science and Maths 639,000
Finite-dimensional reduction, Inertial Manifolds, and Homoclinic structures in dissipative PDEsTuraev, Dr DImperial College LondonMathematics 400,490
Finite-dimensional reduction, Inertial Manifolds, and Homoclinic structures in dissipative PDEsZelik, Professor SUniversity of SurreyMathematics 384,596
Fourier analytic techniques in geometry and analysisFraser, Dr JMUniversity of St AndrewsMathematics and Statistics 336,123
Fractional Variational Integration and Optimal ControlOber-Blobaum, Professor SUniversity of OxfordEngineering Science 631,471
Geometry and Conformal Invariance of Random StructuresBerestycki, Professor NUniversity of CambridgePure Maths and Mathematical Statistics 1,044,626
Harmonic Analysis in rough environmentsReguera Rodriguez, Dr MUniversity of BirminghamSchool of Mathematics 101,170
Integral equations on fractal domains: analysis and computationHewett, Dr DUCLMathematics 248,329
International Centre For Mathematical Sciences 2018Lord, Professor GHeriot-Watt UniversityS of Mathematical and Computer Sciences 3,079,042
Inverse problems for hyperbolic partial differential equationsOksanen, Dr LUCLMathematics 629,463
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 Scie 310,787
Limit analysis of debonding states in multi-body systems of stochastic hyperelastic materialMihai, Dr ACardiff UniversitySch of Mathematics 290,844
Lyapunov Exponents and Spectral Properties of Aperiodic StructuresGrimm, Professor UGOpen UniversityFaculty of Sci, Tech, Eng & Maths (STEM) 348,847
Mathematical analysis of strongly correlated processes on discrete dynamic structuresde Oliveira Stauffer, Dr AUniversity of BathMathematical Sciences 886,922
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
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 OxfordMathematical Institute 280,032
Nonlinear geometric inverse problemsPaternain, Professor GUniversity of CambridgePure Maths and Mathematical Statistics 325,635
Nonlinear geometric inverse problemsOksanen, Dr LUCLMathematics 124,802
Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applicationsPavliotis, Professor GImperial College LondonMathematics 449,210
On the way to the asymptotic limit: mathematics of slow-fast coupling in PDEsWingate, Professor BUniversity of ExeterMathematical Sciences 849,609
Optimal transport and geometric analysisMondino, Dr AUniversity of OxfordMathematical Institute 16,699
Plasmon resonances and the Neumann-Poincare operator for 3D domains with singularitiesPerfekt, Dr KUniversity of ReadingMathematics and Statistics 231,308
Quantitative Estimates In Spectral Theory and Their ComplexityBen-Artzi, Dr JCardiff UniversitySch of Mathematics 977,978
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 graph structures and their scaling limitsGoldschmidt, Professor CAUniversity of OxfordStatistics 1,062,939
Random Periodicity in Dynamics with UncertaintyZhao, Professor HLoughborough UniversityMathematical Sciences 1,084,095
Random walks on dynamic graphsSousi, Dr PUniversity of CambridgePure Maths and Mathematical Statistics 113,961
Regularity in affiliated von Neumann algebras and applications to partial differential equationsRuzhansky, Professor MQueen Mary University of LondonSch of Mathematical Sciences 307,764
Research Network in the Mathematics of Inverse problemsBrown, Professor BMCardiff UniversityComputer Science 99,578
Resurgence and parametric asymptotics: exact results at all scalesVarela Aniceto, Dr IUniversity of SouthamptonSch of Mathematical Sciences 426,226
Riemann-Hilbert Problems, Toeplitz Determinants and ApplicationsVirtanen, Dr JUniversity of ReadingMathematics and Statistics 62,932
Rigidity and Small Divisors in Holomorphic DynamicsCheraghi, Dr DImperial College LondonMathematics 624,090
Robust, Scalable Sequential Monte Carlo with Application To Urban Air QualityJohansen, Dr AMUniversity of WarwickStatistics 621,930
Scaling limits and extreme values of Gibbs measuresWu, Dr WUniversity of WarwickStatistics 196,660
Sharp Fourier Restriction TheoryOliveira e Silva, Dr DUniversity of BirminghamSchool of Mathematics 246,055
Singular stochastic PDEs and related statistical physics modelsXu, Dr WUniversity of OxfordMathematical Institute 185,034
Singularities and mixing in Euler flowsHadzic, Dr MUCLMathematics 957,306
Stable and unstable almost-periodic problemsParnovski, Professor LUCLMathematics 520,541
Stable hypersurfaces with prescribed mean curvatureBellettini, Dr CUCLMathematics 287,098
Stochastic iterative regularization: theory, algorithms and applicationsJin, Dr 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
The Unified Transform, Imaging and AsymptoticsFokas, Professor AUniversity of CambridgeApplied Maths and Theoretical Physics 1,206,870
Threshold networksCoombes, Professor SUniversity of NottinghamSch of Mathematical Sciences 341,073
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
UK Fluids NetworkJuniper, Professor MUniversity of CambridgeEngineering 811,714
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
Unique Continuation for Geometric Wave Equations, and Applications to Relativity, Holography, and ControllabilityShao, Dr C AQueen Mary University of LondonSch of Mathematical Sciences 100,891
Unparameterised multi-modal data, high order signatures, and the mathematics of data scienceLyons, Professor TUniversity of OxfordMathematical Institute 4,100,854
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: Levy ProcessesKonstantopoulos, Professor TUniversity of LiverpoolMathematical Sciences 7,218
Workshop: UK Probability Meeting 2020Gaunt, Dr REUniversity of Manchester, TheMathematics 18,752

Total Number of Grants: 81
Total Value of Grants: £39,822,968

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