# People

**MASDOC Management Team**

**Director of the MASDOC CDT**

**Charlie Elliott Professor of Mathematics**

**Co-Director of the MASDOC CDT**

**Nikos Zygouras Reader in Statistics**

**MASDOC Director of Studies
Andreas Dedner Associate Professor in Mathematics**

**MASDOC Administrator**

**Chris Richley**

**SUPERVISORS**

_{}Stefan AdamsStefan Adams is a Reader in the Department of Mathematics and his research is in the area of Large deviation theory, probability theory, Brownian motions, statistical mechanics, gradient models, multiscale systems.

Larbi Alili is Associate Professor in Statistics. His research interest lies in Stochastic processes, particularly continuous linear diffusions and Lévy processes, and their applications. His topics of interest include the following ones: additive functionals, path properties, exit problems and filtrations. He is also interested in applications to option pricing, dependence structures and insider trading models.

Sigurd Assing is an Associate Professor in Statistics. His research interests are in Probability theory, random processes, stochastic analysis, statistical mechanics and stochastic simulation.

Dwight Barkley is a Professor in the Mathematics Department. His research lies in the areas of Applied and computational mathematics - nonlinear phenomena.

Mike Chappell is a senior lecturer in the Department of Engineering. His research expertise lies mainly in the modelling and analysis of biomedical, pharmacokinetic and biological processes

David Croydon works in probability theory, with his main research interest being in diffusions on random fractals and how such processes can be constructed as scaling limits of related random walks on random graphs. He joined the Department of Statistics in 2006, after having completed his DPhil at the University of Oxford.

Andreas Dedner is an Associate Professor in the Mathematics Department. His research interests are Numerical analysis and scientific computing (he is part of CSC); higher order methods for solving non-linear evolution equations; generic software design for grid based numerical schemes; geophysical flows; radiation magnetohydrodynamics.

Charlie Elliott is a Professor in the Mathematics department and also the Director of the MASDOC Doctoral Training Programme. His research is centred around nonlinear partial differential equations and computational mathematics with applications(mathematical biology, material science, continuum mechanics, phase transitions etc) including numerical analysis and applied analysis. In particular, finite element methods, free boundary problems, geometric evolution equations and surface growth, two phase flow, cell motility, biomembranes and PDE optimisation.

Stefan Grossinskey is an Associate Professor in the Department of Mathematics. His research is in the area of Applied probability theory, stochastic processes and complex systems, statistical mechanics.

Martin Hairer is a Professor in the Mathematics Department. His research is in the area of Stochastic PDE's, stochastic analysis, functional analysis, homogenisation theory. He holds a Leverhulme Research Leadership award.

Vicky Henderson is an Reader in the Department of Statistics. Her research lies in the area of optimal stopping and optimal control problems, with applications to real options, executive stock options, and recently, behavioural finance

David Hobson is a Professor in the Department of Statistics. His research lies in probability and financial mathematics.

Adam Johansen is an Associate Professor in the Statistics department. His research interests lie in Monte Carlo Methods, Computational statistics. Time series. Bayesian inference and decision making.

Matt Keeling is a Professor and is a joint appointment between the Mathematics Department and the Department of Life Sciences. His research lies in the areas of population dynamics, mathematical biology, epidemiology, evolution, spatial systems, stochastic processes.

Wilfrid Kendall is a Professor in the Department of Statistics. He works mostly in probability theory, with particular interests in: random processes, stochastic geometry, stochastic calculus, computer algebra in statistics and probability, and perfect simulation. He is co-director of APTS, and was one of 3 organizers of the EPSRC-funded workshop Probability 2008: New Scaling Limits and Other Recent Developments, Monday 31st March to Friday 4th April 2008.

Jo Kennedy is a Associate Professor in Statistics having joined the department in 1998. She previously held positions at the University of Oxford and Bristol. In recent years her research activities have focused on interest rate derivatives with particular attention to the modelling requirements of market practitioners. She is co-author with Phil Hunt of Financial Derivatives in Theory and Practice, John Wiley & Sons, 2000. She gained her PhD in probability theory at the University of Cambridge having completed her undergraduate degree and MSc degrees at the University of Sydney.

Robert Kerr is a Professor in the Mathematics department and has a joint appointment with Engineering. His active research is in the following areas.

1) Navier-Stokes equations. A Clay Prize Problem and the equations controlling the energy cascade in viscous hydrodynamic turbulence that surrounds us.

Complementary approaches are: A) Simulations in large domains to see the cascade forming. B) Simulate the inviscid equations, the Euler equations, to investigate the most intense, possibly singular, structures. New calculations suggest what the answers could be, but three types of analysis are needed to finish the job. A) More numerical analysis of these simulations. B) Using geometry to compare with vortex models. C) Continuing mathematical analysis using tools such as Sobolev norms (in collaboration with J.D. Gibbon, Imperial College).

2) Stratified Navier-Stokes equations. So far, simulations of horizontally homogeneous turbulent flows using these equations are the only simulations that have qualitatively reproduced some aspects of horizontal energy cascade spectra seen in mesoscale atmospheric observations. The current forecast models fail miserably. New results show how one type of vortex instability can generate small-scale dissipation, but a cascade mechanism has not been identified. At the later stages we would be working with as the Met Office Unified Model in order to provide parameterisations so that this application code can finally reproduce the observed spectra and cascade.

3) The Gross-Piteavski equations. These are the nonlinear Schroedinger equation commonly used to simulate superfluids and Bose-Einstein condensates, one of the hottest topics in modern physics. Experiments and simulations have shown that superfluid turbulence has an energy cascade and that inertial range spectra similar to Navier-Stokes turbulence, but we also do not know why. Current published results give two numerical examples that begin to get these regimes. Better calculations, more numerical analysis, and comparison with available models are needed.

Markus Kirkilionis is an Associate Professor in the Mathematics department. His research is in general mathematical modeling and simulation complex systems mathematical biology.

Vassili Kolokoltsov is a Professor in the Department of Statistics. His general research interests: probability and stochastic processes, mathematical physics, differential equations and functional analysis, optimization and games with applications to business, biology and finances.

Roman Kotecký is a Professor in the Deparment of Mathematics. His research interests are Probability; statistical physics; theory of phase transitions.

**Xue-Mei Li**

Xue-Mei Li is an Associate Professor in the Department of Mathematics. Her research lies in the areas of Stochastic differential equations and dynamical systems, stochastic analysis on geometric spaces and in infinite dimensions, diffusion processes, investigation of measures, investigation of concrete stochastic models.

Ian Melbourne is a Professor in the Mathematics department. His research is in the area of Ergodic theory and dynamical systems. Links with stochastic analysis.

Sergey Nazarenko is a Professor in the Mathematics Department and Director of the MSc in Mathematics. His research is in the area of turbulence, waves and vortices in superfluids, Bose-Einstein condensates, astrophysical fluids, plasma. See my web page

Christoph Ortner is a Reader in the Department of Mathematics. His main research interest is coarse graining of atomistic models for solids, in particular in connection with crystal defects. As an example, atomistic/continuum hybrid methods use computationally expensive atomistic models to describe defect cores, but coarse-grained continuum models to describe elastic fields. At least in principle, this process can yield models with near atomistic accuracy at a significantly reduced computational cost.

More generally, CO works on a range of problems arising in the simulation and analysis of mathematical models for solids and materials, for example, dislocation dynamics, brittle fracture, the Lavrentiev gap phenomenon, adaptive finite element methods for linear and nonlinear PDE, discontinuous Galerkin methods, numerical enclosure methods.

Felipe Rindler is an Associate Professor in the Mathematics Department. Most of his research concerns singularities in nonlinear PDEs and the modern theory of the calculus of variations. In particular, he is interested in oscillation and concentration phenomena and what can be rigorously proved about their "shape". Applications include elasticity and elasto-plasticity theory.

Gareth Roberts is a Professor in the Department of Statistics. His research interests lie in Computational Statistics, particularly MCMC, particle filtering, Monte Carlo likelihood; Stochastic processes, especially stability theory for Markov chains, Stochastic Differential Equations; Stochastic simulation; Inference for Stochastic Processes; Statistical methodology for missing data; Bayesian statistics; statistical inference for Infectious diseases.

James Robinson is a Professor in the Department of Mathematics and he is also an EPSRC Leadership Fellow. His research lies in Rigorous fluid dynamics and turbulence; infinite-dimensional dynamical systems; random dynamical systems; non-autonomous dynamical systems; embeddings of finite-dimensional sets into Euclidean spaces.

Jose Rodrigo is an Associate Professor in the Department of Mathematics and his research interests lie in the areas of Analysis and Partial Differential Equations (theoretical questions arising, usually, from fluid mechanics and reaction-diffusion models).

Is an Associate Professor in the Department of Statistics. He is interested in combinatorial stochastic processes and special functions arising in exchangeable and partially exchangeable models, with main applications in Mathematical Population Genetics, Bayesian Nonparametric Statistics, Measure-valued processes.

Dr Simon Spencer is an Assistant Professor jointly appointed by the Statistics department and the Warwick Analytical Sciences Centre (WASC). His research is in the areas of Bayesian inference, stochastic processes and applied probability, MCMC methods.

Bjorn Stinner is an Assistant Professor in the Department of Mathematics. His research areas are Free Boundary Problems and PDEs on Manifolds; Applied Analysis of Nonlinear Partial Differential Equations; Finite Element Methods and their Numerical Analysis; Continuum Modelling, particularly based on the Phase Field Methodology.

Florian Theil is an Associate Professor in the Department of Mathematics. His research lies in the areas of Multiscale systems, analysis, nonlinear partial differential equations.

Peter Topping is a Professor in the Mathematics Department. His research interests lie in the areas of Nonlinear geometric partial differential equations.

Roger Trible is an Associate Professor in the Mathematics Department. His research is in the area of Probability, in particular interacting particle systems and stochastic partial differential equations.

Daniel Uelstchi is a Reader in Mathematics and has research interests in analysis, probability theory, statistical mechanics, mathematical physics

Dr Jon Warren is a Reader in Statistics at Warwick. He completed his PhD and post-doctoral work at the University of Bath. His research interests lie in probability theory and include stochastic flows, random matrices, and properties of Brownian motion.

Oleg Zaboronski is an Reader in the Department of Mathematics. He researches in the areas of Information theory of data storage, Non-equilibrium statistical mechanics of interacting particle systems, Non-ideal turbulence, Theory of random matrices and integrable systems.

Probability, mathematical physics (random media, stochastic PDE's, statistical mechanics).

**Contact e-mail address: masdoc.info at warwick.ac.uk**