Research Interests
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 |
| Peter Clark | |
| Jonathan Deane | Nonlinear dynamics of ODEs and piecewise contractions and isometries, with applications to electronic engineering problems |
| Gianne Derks | Stability of travelling waves and fronts, inhomogeneous systems, Hamiltonian systems with dissipation and/or forcing, dissipation induced instability, mathematical modelling of biological and pharmacological systems |
| 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 | Ecology, biology and social science modelling, complex networks, equation-free methods, biophysics, coastal morphology, pattern formation, sand ripples, nonlinear dynamics and bifurcation theory. |
| 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, rates of mixing, anomalous diffusion and Lévy processes, infinite ergodic theory, stochastic limits for fast-slow deterministic systems, testing for chaos in deterministic systems |
| 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, superlattice patterns, theoretical fluid mechanics, dynamical systems, applications to biological and physical systems |
| Alessandro Torrielli | Theoretical and Mathematical Physics; Quantum field theory; Classical and quantum integrable systems; AdS/CFT correspondence; Quantum groups |
| Matthew Turner | Fluid Mechanics, Stability of fluid flows, Vortex dynamics, Boundary layer receptivity |
| Peter Williams | Medical statistics, clinical trials, analysis of health statistics, statistical computing |
| Martin Wolf | Theoretical and Mathematical Physics: Twistor Geometry, Classical and Quantum Integrability, String Theory/Gauge Theory Dualities including Gravity/Fluid Dualities, Supergravity |
| 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 |