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Permanent Staff and their Research Interests old

Dr Stefan Adams
Large deviation theory, probability theory, Brownian motions, statistical mechanics, gradient models, multiscale systems.

Professor Keith Ball
Functional analysis, high-dimensional and discrete geometry, information theory.

Professor Dwight Barkley
Applied and computational mathematics - nonlinear phenomena.

Dr David Bate
Geometric measure theory, real analysis.

Dr Christian Boehning
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.

Dr Ed Brambley
Aeroacoustics (mathematical modelling and computational theory); mathematical modelling of industrial metal forming; fluid dynamics; applied mathematics.

Dr 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

Professor Gavin Brown
Algebraic geometry, especially classification, birational geometry and constructions of varieties (both using computational algebra and not).

Professor Nigel Burroughs
Mathematics applied to cell biology, (biophysical) models of dynamic spatial biological systems, analysis of experimental data using Bayesian model fitting methods (Markov chain Monte Carlo algorithms).

Dr Inna (Korchagina) Capdeboscq
Group theory, groups of Lie type, finite simple groups.

Dr Siri Chongchitnan
Cosmology, theoretical astrophysics, mathematics education.

Dr Sam Chow
Diophantine equations, diophantine approximation, analytic number theory, additive combinatorics.

Dr Radu Cimpeanu
Applied mathematics, mathematical modelling, scientific computing, asymptotic analysis, computational fluid dynamics, interfacial flows, wave propagation, industrial mathematics.

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.

Dr Emanuele Dotto
Algebraic topology, homotopy theory, algebraic K-theory, equivariant homotopy theory.

Professor Bertram During
Applied and computational partial differential equations: modelling, analysis, numerical analysis, optimal control, applications in socio-economics and finance

Dr Louise Dyson
Mathematical modelling of biological systems, especially the epidemiology of neglected tropical diseases and the analysis of biological systems in which noise plays an important role.

Professor Charles Elliott
Partial differential equations and their applications: analysis, geometric PDEs, free boundaries and interfaces, biology, social-sciences, materials, finite elements, numerical analysis, computations.

Dr Adam Epstein
Complex analytic dynamics; Riemann surfaces; value-distribution theory.

Dr Martin Gallauer

Algebraic geometry & algebraic topology, motivic theory, tensor-triangular geometry, homotopy theory, rigid-analytic geometry, modular representation theory.

Professor Vassili Gelfreich
Analysis and dynamical systems.

Dr Agelos Georgakopoulos
Infinite graphs, and their interactions with other fields of mathematics.

Dr Tobias Grafke
Rare events, fluid dynamics and turbulence, large deviation theory, metastability, non-equilibrium statistical mechanics, active matter.

Professor John Greenlees
Algebraic topology, homotopy theory, equivariant cohomology theories, derived categories and commutative algebra.

Dr Adam Harper
Analytic number theory, and connections with probability and combinatorics.

Dr 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 system’s modelling and control.

Dr Thomas Hudson
Micromechanics of materials: Crystalline defects, especially dislocations and their evolution; Thermodynamic limits: linking microscopic and macroscopic properties of solids; Metastability and temperature-driven evolution of defects. Asymptotic methods in the Calculus of Variations, PDE and Stochastic Analysis (Gamma-convergence techniques, Stochastic Homogenization, Large Deviations Theory). Coarse-graining for dynamical systems (The Mori-Zwanzig formalism).

Professor Matthew Keeling
Mathematical modelling of population dynamics, especially infectious diseases and evolution. I am interested in how heterogeneities impact on population dynamics, in particular spatial structure, social networks and stochasticity. I study the following diseases: foot-and-mouth disease, bovine TB, influenza, measles, bubonic plague.

Dr Markus Kirkilionis
Mathematical biology, dynamic network models, complex systems, numerical analysis, pattern formation, physiologically structured Population models, (monotone) dynamical systems.

Dr Oleg Kozlovski
Dynamical systems, ergodic theory, mathematical physics, financial mathematics.

Professor David Loeffler
Modular and automorphic forms, Iwasawa theory, and p-adic analysis.

Dr Martin Lotz
Numerical optimization, computational complexity, probabilistic analysis of algorithms, computational geometry and topology, geometric probability and applications to dimension reduction.

Professor Vadim Lozin
Graph theory, combinatorics, discrete mathematics.

Professor Robert MacKay FRS
Dynamical systems theory and applications, complexity science.

Professor Diane Maclagan
Combinatorial and computational commutative algebra and algebraic geometry.

Dr Shreyas Mandre
Partial differential equations, fluid and solid mechanics, asymptotic and perturbation methods, computational methods, engineering science.

Dr Andras Mathe
Geometric measure theory, fractal geometry.

Professor Ian Melbourne
Ergodic theory and dynamical systems; links with stochastic analysis.

Dr Mario Micallef
Partial differential equations; differential geometry.

Dr Richard Montgomery
Extremal and Probabilistic Combinatorics, and connections with other fields.

Dr Joel Moreira
Dynamical systems, ergodic theory and applications to arithmetic Ramsey theory, combinatorics and number theory.

Professor Oleg Pikhurko
Extremal combinatorics and graph theory; random structures; algebraic, analytic and probabilistic methods in discrete mathematics.

Professor Mark Pollicott
Thermodynamic formalism, with applications to geometry, analysis and number theory.

Dr Rohini Ramadas
Combinatorial algebraic geometry, complex dynamics, tropical geometry, moduli spaces

Professor David Rand
Mathematical biology, pure and applied dynamical systems.

Professor Miles Reid FRS
Algebra and geometry, algebraic geometry, classification of varieties, minimal models of 3-folds and higher dimensional algebraic varieties, singularities of 3-folds and higher dimensional algebraic varieties, orbifolds and their resolution, McKay correspondence.

Professor Magnus Richardson
Theoretical neuroscience, quantitative physiology, stochastics, statistics, machine learning.

Professor Filip Rindler
PDEs, calculus of variations, geometric measure theory.

Professor James Robinson
Partial differential equations in fluid dynamics; embedding properties of finite-dimensional sets; infinite-dimensional dynamical systems.

Dr Kat Rock
Dynamic, mechanistic models of vector-borne diseases. ODE, PDE and stochastic model approaches to directly address applied research or policy questions.

Professor Jose Rodrigo
Analysis, partial differential equations and theoretical fluid mechanics.

Professor Dmitriy Rumynin
Representation theory.

Dr Saul Schleimer
Geometric topology, group theory, and computation.

Dr Marco Schlichting
Algebraic K-theory and higher Grothendieck-Witt groups of schemes; A^1-homotopy theory and motivic cohomology; derived categories, algebraic topology and algebraic geometry.

Professor Felix Schulze
Geometric analysis, partial differential equations and differential geometry.

Dr Cagri Sert
Ergodic theory and dynamical Systems, Lie groups and their discrete subgroups, geometric and probabilistic group theory

Professor Richard Sharp
Ergodic theory, dynamical systems, applications to geometry, combinatorial and geometric group theory, quantum chaos and noncommutative geometry.

Professor Samir Siksek
Arithmetic geometry, rational points, modular curves.

Professor John Smillie
Translation surfaces and complex dynamics in higher dimensions.

Dr Vedran Sohinger
Nonlinear dispersive PDEs, harmonic analysis, and quantum many-body problems.

Professor James Sprittles
Applied mathematics, computational fluid dynamics, interfacial flows, porous media, rarefied gas flow.

Dr Björn Stinner
Modelling of free boundary problems, analysis of nonlinear PDEs, finite element methods.

Dr Tim Sullivan

Uncertainty quantification, inverse problems, probabilistic numerics, data science.

Dr Damiano Testa
Algebraic geometry, number theory.

Dr Florian Theil
Partial differential equations, discrete systems.

Dr Adam Thomas
Algebraic groups, finite groups of Lie type, Lie algebras, representation theory.

Professor Michael Tildesley
Mathematical modelling of infectious diseases. Modelling of control policies in the presence of partial information. I work on a range of diseases such as avian influenza, foot-and-mouth disease, rabies and bovine tuberculosis.

Professor Peter Topping
Geometric analysis, nonlinear PDE, differential geometry.

Dr 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.

Dr. Roger Tribe
Probability, in particular interacting particle systems and stochastic partial differential equations.

Professor Daniel Ueltschi
Statistical mechanics, probability theory.

Professor Karen Vogtmann FRS
Geometric group theory, low-dimensional topology, cohomology of groups.

Professor Marie-Therese Wolfram
Partial differential equations, mathematical modeling in socio-economic applications and the life sciences, numerical analysis.

Dr David Wood
Dynamical systems, bifurcations with symmetry, applications to biology and industry.

Professor Oleg Zaboronski
Non-equilibrium statistical mechanics of interacting particle systems, random matrices and integrable systems.

Dr Weiyi Zhang
Symplectic topology, complex geometry and their interactions.

Professor Nikolaos Zygouras
Probability (including integrable probability, random media, SPDEs, statistical mechanics). I am also interested in the interactions of probability with integrable systems, representation theory and combinatorics.