Research groups
The Department has the following research groups:
- Dynamical Systems & Ergodic Theory
- Dynamics of Patterns
- Geometrical Fluid Dynamics
- Geometry and Mechanics
- Mathematical Biology
- Statistics
Brief descriptions of the research interests of individual staff members:
| Name | Research Interests |
|---|---|
| Philip Aston | Symmetry-breaking bifurcation theory, mode interactions, symmetric chaos, control and synchronisation of chaos, computation of Lyapunov exponents |
| Michele Bartuccelli | Analysis of nonlinear dissipative PDE's, time delayed PDE's with application to mathematical biology |
| Jonathan Bevan | Elasticity theory, calculus of variations, quasiconvexity |
| Tom Bridges | Pattern formation, dynamics of waves, Hamiltonian systems, dynamical systems with symmetry, heteroclinic orbits, applications to fluid flow |
| Henk Bruin | Low-dimensional dynamical systems, ergodic theory, complex dynamics, topological and symbolic dynamics, inverse limit spaces |
| Jonathan Deane | Nonlinear dynamics of ODEs and piecewise isometries, with applications to electronic engineering problems |
| Gianne Derks | Hamiltonian systems, dissipation, forcing, invariant manifolds, symmetries, stability, persistence/bifurcation |
| Janet Godolphin | Experimental design, residual analysis, design connectivity, estimability, hypothesis testing in linear models |
| Stephen Gourley | Reaction diffusion systems, lattice models, bifurcations, travelling waves, time delays, applications to mathematical ecology |
| Rebecca Hoyle | Pattern formation, modulation equations, fronts, sand ripples, equivariant dynamical systems, bifurcation theory, nonlinear convection, mathematical sociology, biophysics |
| Peter Hydon | Physiological applications in fluid mechanics, analytic solutions of differential equations using symmetry methods |
| David Lloyd | Pattern formation, Nonlinear partial differential equations, numerical methods |
| Ian Melbourne | Ergodic theory, statistical properties of dynamical systems, equivariant dynamical systems, spatially-extended systems, pattern formation, validity of Ginzburg-Landau equations, testing for chaos in deterministic systems, bifurcation theory |
| Mark Roberts | Equivariant singularity theory, Hamiltonian systems and symplectic geometry, theory of mechanical systems with symmetry such as molecules, rigid bodies and atomic nuclei, structure of Lie groups, symmetric chaos, and relative equilibria |
| Ian Roulstone | Applied differential geometry and analysis, Hamiltonian systems and geometric integration, control theory. Application of these subjects to meteorology and numerical weather prediction |
| Anne Skeldon | Pattern formation, stability of patterns, superlattice patterns, theoretical fluid dynamics, dynamical systems, normal forms, dynamos, equivariant dynamical systems |
| Peter Williams | Medical statistics, clinical trials, analysis of health statistics, statistical computing |
| Claudia Wulff | Dynamical systems with symmetry, Hamiltonian systems, nonlinear PDEs and pattern formation, numerics of dynamical systems |
| Karen Young | Bayesian statistics, outliers and influential diagnostics, stochastic simulation, reliability, degradation models |
| Sergey Zelik | Partial differential equations, mathematical physics, Navier-Stokes equations, attractors |
