Staff Research Interests
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Professor Tim Austin
Ergodic Theory, Functional Analysis, High-Dimensional Probability. Much of my research concerns the relationship between phenomena in high but finite dimensions, such as measure concentration, and ideal `infinitary' settings such as measure-preserving systems, unitary group representations, or limit objects in probability
Tim.Austin@warwick.ac.ukProfessor Keith Ball
Functional analysis, high-dimensional and discrete geometry, information theory and number theory.
K.M.Ball@warwick.ac.ukProfessor Dwight Barkley
Large-scale computation, mathematical modeling, hydrodynamic stability, bifurcation theory, transition to turbulence, reaction-diffusion equations, excitable media, percolation transitions.
d.barkley@warwick.ac.ukDr David Bate
Analysis, geometric measure theory, metric geometry.
David.Bate@warwick.ac.ukDr Christian Böhning
Algebraic geometry, representation and invariant theory, derived category methods in birational geometry, birational automorphism groups, unramified cohomology and applications of K-theory in birational geometry.
C.Boehning@warwick.ac.ukDr Ed Brambley
Aeroacoustics (mathematical modelling and computational theory), continuum mechanics and plasticity (mathematical modelling of industrial metal forming processes), fluid dynamics, applied and industrial mathematical modelling.
E.J.Brambley@warwick.ac.ukProfessor Gavin Brown
Algebraic geometry, birational geometry and computational algebra.
G.Brown@warwick.ac.ukProfessor Nigel Burroughs
Mathematical techniques applied to biological systems. Deterministic (ODEs, PDEs) and stochastic (SDEs, branching processes) models. Bayesian inference methods (MCMC) to infer parameters from experimental data. Model selection. Optimisation, including control theory (Pontryagin maximum principle, Hamilton-Jacobi-Bellman equations). Computational methods for spatial stochastic systems.
N.J.Burroughs@warwick.ac.ukProfessor Inna Capdeboscq
Algebra, specifically group theory, both finite and infinite. The classification of finite simple groups.
I.Capdeboscq@warwick.ac.ukDr Siri Chongchitnan
Cosmology and theoretical astrophysics. Mathematics education.
Siri.Chongchitnan@warwick.ac.ukDr Sam Chow
Diophantine approximation, diophantine equations, arithmetic combinatorics, arithmetic statistics.
Sam.Chow@warwick.ac.ukDr Radu Cimpeanu
Mathematical modelling and scientific computing. Fluid dynamics, acoustics, and multi-physics settings. Asymptotic and complex analysis, control theory, and hybrid methods built on data-driven approaches. Direct numerical simulation for interfacial flow problems involving drops, bubbles, and liquid films. Sustainable software and open science. Engagement with industrial partners.
Radu.Cimpeanu@warwick.ac.uk-
I use asymptotic and spectral analysis to prove statements about physical problems. These problems are drawn from fields across wave physics, quantum mechanics, metamaterials and continuum mechanics more widely. I typically study models based on partial differential equations and use approaches based on a variety of asymptotic analysis, homogenisation and ideas from spectral theory. I also regularly collaborate with experimental and industrial colleagues.
Dr Andreas Dedner
Numerical analysis and scientific computing, higher order methods for solving non-linear evolution equations, generic software design for grid based numerical schemes, geophysical flows, radiation magnetohydrodynamics.
A.S.Dedner@warwick.ac.ukDr Emanuele Dotto
Algebraic topology, homotopy theory, algebraic K-theory, equivariant homotopy theory.
Emanuele.Dotto@warwick.ac.ukProfessor Bertram Düring
Applied and computational partial differential equations: modelling, analysis, numerical analysis, optimal control, applications in socio-economics and finance.
Bertram.During@warwick.ac.ukDr Louise Dyson
Mathematical biology and infectious disease epidemiology including: neglected tropical diseases (NTDs); COVID-19; yaws; noise-induced bistable states; critical slowing down.
L.Dyson@warwick.ac.uk-
My research centers on the interplay between algebra, combinatorics, and number theory, with a particular interest in group theory, asymptotic methods, and combinatorial enumeration problems involving symmetry. I also explore connections to ergodic theory and Ramsey theory.
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Modelling in mathematical biology and ecology using PDEs; pattern formation, especially of dryland plants; competition and coexistence theory; ecological tipping points in a changing environment; periodic travelling waves; biofilm formation; evolution of individual variability
Professor Charles Elliott
Mathematical and numerical analysis of PDEs with applications in biology, material science, continuum mechanics and phase transitions. PDEs in complex and evolving domains including manifolds, finite element methods, free boundary problems, geometric evolution equations and surface growth, inverse problems, cell motility, biomembranes and PDE optimization.
C.M.Elliott@warwick.ac.ukDr Adam Epstein
Complex analytic dynamics, Riemann surfaces, value-distribution theory.
A.L.Epstein@warwick.ac.uk-
Analysis of PDEs particularly in kinetic theory of gases and kinetic models from life sciences. Stochastic analysis and functional inequalities in PDE theory.
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Algebraic geometry & algebraic topology, motivic theory, tensor-triangular geometry, homotopy theory, rigid-analytic geometry, modular representation theory
Professor Vassili Gelfreich
Analysis and dynamical systems.
V.Gelfreich@warwick.ac.ukProfessor Agelos Georgakopoulos
Finite and infinite graphs, random walks and graphs, electrical networks, percolation theory, geometry and topology.
A.Georgakopoulos@warwick.ac.ukDr Susana Gomes
Applied mathematics, modelling (PDEs and agent based models), control, and inverse problems. Applications to fluid dynamics and interfacial flows, pedestrian dynamics, and opinion dynamics.
Susana.Gomes@warwick.ac.ukDr Tobias Grafke
Numerical and mathematical tools to analyse stochastic systems. Rare events, large deviation theory, metastability, non-equilibrium statistical mechanics, sampling algorithms. Applications include fluid dynamics and turbulence, atmosphere and ocean dynamics, climate, nonlinear waves, active matter, biological and chemical systems.
T.Grafke@warwick.ac.ukProfessor John Greenlees
Algebraic topology, homotopy theory and commutative algebra, and especially equivariant cohomology theories and stable homotopy theory. Groups, symmetry, triangulated categories, derived categories, compact Lie groups, algebraic models.
John.Greenlees@warwick.ac.ukDr Adam Harper
Analytic number theory, and connections with probability and combinatorics.
A.Harper@warwick.ac.ukDr Randa Herzallah
Control theory focusing primarily on developing reliable control strategies for many-body, multi-scale, stochastic systems exhibiting characteristics such as nonlinearity, uncertainty and hysteresis. Data analytics and machine learning. Systems modelling, signal processing, decentralized systems modelling and control, quantum systems modelling and control.
Randa.Herzallah@warwick.ac.ukDr Thomas Hudson
Micromechanics, continuum mechanics, solid mechanics, crystalline defects, dislocations, plasticity, elasticity, asymptotic methods, gamma-convergence, homogenisation, coarse-graining, upscaling, discrete-to-continuum limits, stochastic modelling, large deviations principles, uncertainty quantification.
T.Hudson.1@warwick.ac.ukProfessor Christian Ikenmeyer
Computational complexity theory, tensor rank, representation theory, algebraic combinatorics, algebraic geometry.
Christian.Ikenmeyer@warwick.ac.ukProfessor Matt Keeling
Epidemiology, ecology, evolution, science for policy, networks, stochasticity, mathematical model, infection, disease, COVID-19.
M.J.Keeling@warwick.ac.ukDr Markus Kirkilionis
Mathematical biology, dynamic network models, complex systems, numerical analysis, pattern formation, physiologically structured population models, (monotone) dynamical systems.
M.A.Kirkilionis@warwick.ac.ukDr Robert Kropholler
Geometric group theory, particularly in relation to Dehn functions, groups acting on cube complexes, finiteness properties and homological version of these.
Robert.Kropholler@warwick.ac.ukDr Chunyi Li
Algebraic geometry, triangulated categories.
C.Li.25@warwick.ac.ukDr Martin Lotz
Computational complexity, foundations of numerical analysis and optimization, integral geometry and geometric probability, computational algebraic geometry and topology.
Martin.Lotz@warwick.ac.ukProfessor Vadim Lozin
Graph theory, Boolean functions, formal languages.
V.Lozin@warwick.ac.ukProfessor Robert MacKay
Dynamical systems, network theory, plasma physics, economics, financial mathematics, spectral projections, general relativity, cosmology.
R.S.MacKay@warwick.ac.ukProfessor Diane Maclagan
Combinatorial and computational algebraic geometry and commutative algebra. Tropical geometry.
D.Maclagan@warwick.ac.ukDr András Máthé
Geometric measure theory, fractal geometry.
A.Mathe@warwick.ac.ukProfessor Ian Melbourne
Ergodic theory and dynamical systems. Links with probability theory and stochastic analysis.
I.Melbourne@warwick.ac.ukProfessor Tom Montenegro-Johnson
Mathematical modelling, biological physics, soft and active matter, microbots and responsive materials, continuum mechanics, and the mathematics of touch
Dr Richard Montgomery
Extremal and probabilistic combinatorics, and connections with other fields.
Richard.Montgomery@warwick.ac.ukDr Joel Moreira
Ergodic theory and topological dynamics, with emphasis on applications to Ramsey theory, additive combinatorics and number theory.
Joel.Moreira@warwick.ac.ukProfessor Oleg Pikhurko
Extermal and probabilistic combinatorics, graph theory, limits of discrete structures, descriptive combinatorics.
O.Pikhurko@warwick.ac.ukDr Ferran Brosa Planella
Applied and industrial mathematics, mathematical modelling, asymptotic analysis, scientific computing, lithium-ion batteries, heat and mass transfer, continuum mechanics, moving boundary problems, dynamical systems.
Ferran.Brosa-Planella@warwick.ac.ukProfessor Mark Pollicott
Dynamical systems, ergodic theory, Hausdorff dimension theory, thermodynamic formalism, hyperbolic geometry.
M.Pollicott@warwick.ac.uk-
Mathematical analysis and development of algorithms for signal/image processing and machine learning, inverse problems, computational aspects of optimal transport
Dr Rohini Ramadas
Combinatorial algebraic geometry, complex dynamics, tropical geometry, moduli spaces.
Rohini.Ramadas@warwick.ac.ukProfessor David Rand
Systems biology, especially applied to developmental biology, circadian rhythms and cancer. Mathematical results on global structure of bifurcations and catastrophes between Morse-Smale systems.
D.A.Rand@warwick.ac.ukProfessor Miles Reid
Algebra and geometry, algebraic geometry, scheme theory, classification of varieties, graded rings, structure theory of Gorenstein rings, Gorenstein in small codimension, minimal models of 3-folds and higher dimensional algebraic varieties, singularities of 3-folds and higher dimensional algebraic varieties, group actions, group scheme actions, orbifolds and their resolution, McKay correspondence.
Miles.Reid@warwick.ac.ukProfessor Magnus Richardson
Mathematical and computational neuroscience involving experimental collaboration, data analysis, model building, theory of neuronal networks, and machine learning.
Magnus.Richardson@warwick.ac.ukProfessor Filip Rindler
Geometric measure theory, nonlinear PDEs, calculus of variations, mathematical material science.
F.Rindler@warwick.ac.ukProfessor James Robinson
Rigorous fluid dynamics, Navier-Stokes equations, infinite-dimensional dynamical systems, dimension theory, eigenfunction expansions.
J.C.Robinson@warwick.ac.ukProfessor Kat Rock
Transmission of vector-borne (insect-transmitted) infections, infections in low- or middle-income countries. Bringing together dynamic transmission modelling and health economic evaluation for real-world policy recommendations. ODEs, stochastics, optimisation, modelling for policy, and African sleeping sickness.
K.S.Rock@warwick.ac.ukProfessor José Rodrigo
Analysis, PDEs and theoretical fluid mechanics.
J.Rodrigo@warwick.ac.ukProfessor Dmitriy Rumynin
Representation theory in the wide sense spreading into the following topics: algebraic geometry, algebraic groups, computer arithmetic, derived categories, hardware algorithms, homogeneous spaces, homotopy theory, Kac-Moody groups, Lie algebras, D-modules.
D.Rumynin@warwick.ac.ukDr Saul Schleimer
Geometric topology, group theory, and computation.
S.Schleimer@warwick.ac.ukDr Marco Schlichting
Algebraic K-theory and higher Grothendieck-Witt groups, homology and cohomology of classical groups, A^1-homotopy theory and motivic cohomology, derived categories, algebraic topology and algebraic geometry.
M.Schlichting@warwick.ac.uk-
Diophantine geometry (Manin-Mumford, André-Oort, Zilber-Pink, Unlikely intersections), Arithmetic of dynamical systems (Unlikely intersections, canonical heights, rational maps), Counting rational points (o-minimality, Pfaffian systems, value distribution theory)
Professor Felix Schulze
Differential geometry, PDEs and geometric analysis, with particular interest in geometric flows (mean curvature flow, Ricci flow, Willmore flow), minimal surfaces and Willmore surfaces.
Felix.Schulze@warwick.ac.ukProfessor Richard Sharp
Ergodic theory, dynamical systems, applications to geometry, combinatorial and geometric group theory, quantum chaos and noncommutative geometry.
R.J.Sharp@warwick.ac.ukProfessor Samir Siksek
Arithmetic of curves..
S.Siksek@warwick.ac.ukProfessor John Smillie
Polygonal billiards, flat surfaces, dynamics on moduli spaces, horocycle flows.
J.Smillie@warwick.ac.ukDr Vedran Sohinger
Nonlinear dispersive PDEs, harmonic analysis, and quantum many-body problems.
V.Sohinger@warwick.ac.ukProfessor James Sprittles
Fluid dynamics, interfacial flows, computational modelling, micro/nanofluidics.
J.E.Sprittles@warwick.ac.ukDr Björn Stinner
Free and moving boundary problems, finite elements, phase field & diffuse interface modelling.
Bjorn.Stinner@warwick.ac.ukDr Tim Sullivan
Uncertainty quantification, numerical analysis, applied probability and statistics, and scientific computation. In particular: theoretical foundations of UQ, non-parametric Bayesian statistics, inverse problems in function spaces, optimisation-based methods and their relationship to Bayesian methods, methods for applied statistical problems, including dimension reduction and kernel-based machine learning, probabilistic perspectives on numerical methods, open-source software.
t.j.sullivan@warwick.ac.ukDr Goncalo Tabuada
Algebraic topology, noncommutative algebraic geometry, K-theory, motives, homological & homotopical algebra.
Goncalo.Tabuada@warwick.ac.ukDr Damiano Testa
Algebraic geometry and interactions with number theory. Formalization of mathematics.
D.Testa@warwick.ac.ukDr Florian Theil
Analysis of particle systems. Modelling of Li-ion batteries.
F.Theil@warwick.ac.ukDr Adam Thomas
Algebraic groups, Serre's notion of complete reducibility, Lie algebras, finite groups of Lie type, permutation groups, representation theory.
Adam.R.Thomas@warwick.ac.ukProfessor Michael Tildesley
Mathematical modelling of infectious diseases including avian influenza, foot-and-mouth disease, rabies and bovine tuberculosis. Modelling of control policies in the presence of partial information.
M.J.Tildesley@warwick.ac.ukProfessor Peter Topping
Geometric analysis, PDE theory, differential geometry, geometric flows, Ricci flow.
P.M.Topping@warwick.ac.ukDr Gareth Tracey
Finite group theory, particularly: generation properties of finite groups, properties of almost simple groups, permutation groups and associated combinatorics, and probabilistic group theory.
Gareth.Tracey@warwick.ac.ukDr Roger Tribe
Topics in probability theory. stochastic processes, particle systems, PDEs, random matrices.
R.P.Tribe@warwick.ac.ukProfessor Daniel Ueltschi
Classical and quantum statistical mechanic, phase transitions, classical and quantum spin systems.
D.Ueltschi@warwick.ac.ukProfessor Karen Vogtmann
Moduli spaces of graphs and CAT(0) structures, and connections of these with other areas of mathematics, physics and biology.
K.Vogtmann@warwick.ac.ukProfessor Marie-Therese Wolfram
Applied PDEs, inverse problems, mathematical modeling.
M.Wolfram@warwick.ac.ukDr David Wood
Dynamical systems, bifurcations with symmetry, applications to biology and industry.
David.Wood@warwick.ac.ukProfessor Oleg Zaboronski
Non-equilibrium statistical mechanics of interacting particle systems, random matrices and integrable systems.
mascy@warwick.ac.uk-
Analysis of nonlinear PDEs, rigorous fluid dynamics, nonlocal, multi-component and multi-phase systems, traffic and collective behaviour equations.
Dr Weiyi Zhang
Symplectic topology, complex geometry and their interactions.
Weiyi.Zhang@warwick.ac.ukProfessor Nikolaos Zygouras
Probability theory and its relations to mathematical physics and statistical mechanics.
N.Zygouras@warwick.ac.uk
Dr Bryn Davies
Dr Josephine Evans