# Permanent Staff and their Research Interests

**Dr Stefan Adams**

Large deviation theory, probability theory, Brownian motions, statistical mechanics, gradient models, multiscale systems

**Dr Claude Baesens**

Dynamical systems and applications to physics; exponential asymptotics

**Professor Keith Ball
**Functional Analysis, High-dimensional and Discrete Geometry, Information Theory

**Professor Dwight Barkley**

Applied and computational mathematics - nonlinear phenomena

**Dr Hugo van den Berg**

Mathematical biology

**Professor Brian Bowditch**

Hyperbolic geometry, low-dimensional topology, geometric group theory

Mathematics applied to cell biology, (biophysical) models of dynamic spatial biological systems, analysis of experimental (dynamic) data

**Dr Inna (Korchagina) ****Capdeboscq**

Group theory, groups of Lie type, finite simple groups

**Dr Colm Connaughton**

Non-equilibrium statistical mechanics, fluid dynamics and turbulence, nonlinear waves, interacting particle systems

**Professor John Cremona**

Number theory: elliptic curves, modular forms, computational number theory

**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 Vladimir Dokchitser**

Number theory, elliptic curves, L-functions

**Professor Charles Elliott**

Numerical and applied analysis of partial differential equations; free boundary problems; computational applied mathematics

**Dr Adam Epstein**

Complex analytic dynamics; Riemann surfaces; value-distribution theory

**Dr Vassili Gelfreich**

Analysis and dynamical systems

**Dr Charo del Genio**

Network science at the interface of graph theory, physics and informatics; statistical mechanics

**Dr Agelos Georgakopoulos**

Infinite graphs, and their interactions with other fields of mathematics

**Professor Jeremy Gray**

History of mathematics

**Dr Stefan Grosskinsky**

Applied probability theory, mathematical statistical mechanics. Interacting particle systems, nonequilibrium phase transitions, hydrodynamic limits

**Professor Martin Hairer**

Stochastic analysis, functional analysis, statistical mechanics

**Dr Deirdre Hollingsworth
**Evolution and transmission dynamics of infectious diseases

**Professor Derek Holt**

Group theory, computational algebra

**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

**Professor Robert Kerr**

Partial Differential Equations, Computational Fluid Dynamics, Geophysical Fluid Dynamics

**Dr Markus Kirkilionis**

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

**Professor Roman Kotecky**

Probability; statistical physics; theory of phase transitions

**Dr Oleg Kozlovski**

Dynamical systems, ergodic theory, mathematical physics, financial mathematics

**Professor Daniel Kral
**Extremal combinatorics, structural and algorithmic graph theory

**Dr Daan Krammer**

Algebra: braid groups

**Dr Xue-Mei Li**

Stochastic analysis: stochastic differential equations on geometrical spaces, geometry of stochastic flows, infinite dimensional analysis

**Dr David Loeffler
**Modular and automorphic forms, Iwasawa theory, and p-adic analysis

**Dr Vadim Lozin**

Graph theory, combinatorics, discrete mathematics

**Professor Robert MacKay FRS**

Dynamical systems theory and applications, complexity science

**Dr Diane Maclagan**

Combinatorial and computational commutative algebra and algebraic geometry

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

**Dr Mario Micallef**

Partial differential equations; differential geometry

**Professor David Mond**

Singularity theory, algebraic geometry

**Professor Sergey Nazarenko**

Turbulence and waves in classical, quantum and astrophysical fluids

**Professor Neil O'Connell**

Stochastic analysis; Brownian motion, random walks and related processes, especially in an algebraic context; random matrix theory; combinatorics; representation theory

**Dr Christoph Ortner
**Coarse graining of atomistic models for solids

**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

**Professor David Preiss FRS**

Mathematical analysis

**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 James Robinson**

Infinite-dimensional dynamical systems; random dynamical systems; rigorous fluid dynamics and turbulence; embedding properties of finite-dimensional sets; foundations of non-autonomous dynamics

**Professor Jose Rodrigo**

Analysis, partial differential equations and theoretical fluid mechanics

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

**Professor Samir Siksek**

Number theory, diophantine equations, elliptic curves, Lucas sequences

**Professor John Smillie**

Translation surfaces and complex dynamics in higher dimensions

**Professor Colin Sparrow**

Dynamical systems, differential equations, bifurcations, game theory, discrete event systems

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

**Professor Andrew Stuart**

Applied and computational mathematics

**Dr Damiano Testa
**Algebraic geometry, number theory

**Dr Florian Theil**

Partial differential equations, discrete systems

**Professor Peter Topping**

Nonlinear geometric partial differential equations

**Dr. Roger Tribe**

Probability, in particular interacting particle systems and stochastic partial differential equations

**Dr Daniel Ueltschi**

Quantum statistical mechanics, spatial random permutations, Bose-Einstein condensation

**Professor Karen Vogtmann**

Geometric group theory, low-dimensional topology, cohomology of groups

**Dr David Wood**

Dynamical systems, bifurcations with symmetry, applications to biology and industry

**Dr. Oleg Zaboronski**

Turbulence, non-equilibrium statistical mechanics, quantum field theiry, theory of random matrices and integrable systems

**Dr Weiyi Zhang**

Symplectic topology, complex geometry and their interactions