Research Interests
Brief descriptions of the research interests of our academic staff sorted according to group affiliations: Analysis and Nonlinear PDEs Group, Biosystems Group, Fields, Strings, and Geometry Group, Geometric Mechanics and Fluids Group
Analysis and Nonlinear PDEs Group
| Name | Research Interests |
|---|---|
| Dr Jonathan Bevan | Elasticity theory; calculus of variations; quasiconvexity |
| Prof Thomas Bridges | Pattern formation; dynamics of waves; Hamiltonian systems; dynamical systems with symmetry; heteroclinic orbits; applications to fluid flow |
| Dr Bin Cheng | |
| Dr Jonathan Dean | Nonlinear dynamics of ODEs and piecewise contractions and isometries; with applications to electronic engineering problems |
| Dr David Lloyd | Pattern formation; nonlinear partial differential equations; numerical methods |
| Dr Ian Morris | |
| Dr Pablo Shmerkin | Partial differential equations; mathematical physics; Navier-Stokes equations; attractors |
| Dr Sergey Zelik |
Biosystems Group
| Name | Research Interests |
|---|---|
| Dr Philip Aston | Symmetry-breaking bifurcation theory; mode interactions; symmetric chaos; control and synchronisation of chaos; computation of Lyapunov exponents |
| Dr Carina Dunlop | |
| Dr Janet Godolphin | Experimental design; residual analysis; design connectivity; estimability; hypothesis testing in linear models |
| Prof Stephen Gourley | Reaction diffusion systems; lattice models; bifurcations; travelling waves; time delays; applications to mathematical ecology |
| Prof 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 |
| Dr Anne Skeldon | Pattern formation; superlattice patterns; theoretical fluid mechanics; dynamical systems; applications to biological and physical systems |
| Dr Karen Young | Bayesian statistics; outliers and influential diagnostics; stochastic simulation; reliability; degradation models |
Fields, Strings, and Geometry Group
| Name | Research Interests |
|---|---|
| Dr James Grant | |
| Dr Jan Gutowski | Supergravity; geometry of supersymmetric solutions; higher-dimensional black holes and black hole uniqueness theorems |
| Dr Jock McOrist | Quantum field theory; instantons and solitons; string and flux compactifications; mirror symmetry; supergravity, membranes in M-theory and string theory; conformal field theory |
| Dr Sara Pasquetti | Gauge theory; conformal field theory; topological string theory; matrix models; mirror symmetry; Gromov-Witten theory |
| Prof Konstadinos Sfetsos | Quantum gravity and string theory; non-perturbative aspects in gauge and field theories; dualities in string and field theories; solutions of low-energy effective supergravities of superstrings and M-theory; black-hole physics; string cosmology; conformal field theory and integrable systems |
| Dr Alessandro Torrielli | Quantum field theory; classical and quantum integrable systems; AdS/CFT correspondence; quantum groups; |
| Dr Martin Wolf | Twistor geometry; integrability in gauge theory, supergravity, and string theory; string theory/gauge theory dualities; membranes in string and M-theory; solitons and instantons |
Geometric Mechanics and Fluids Group
| Name | Research Interests |
|---|---|
| Dr Michele Bartuccelli | Hamiltonian and non-Hamiltonian dynamics; dynamics of time-dependent nonlinear oscillators; time-dependent ordinary differential equations; partial differential equations; chaos and turbulence; applied functional analysis |
| Dr 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 |
| Prof Peter Hydon | Physiological applications in fluid mechanics; analytic solutions of differential equations using symmetry methods |
| Prof 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 |
| Prof Ian Roulstone | Applied differential geometry and analysis; Hamiltonian systems and geometric integration; control theory; application of these subjects to meteorology and numerical weather prediction |
| Dr Cesare Tronci | |
| Dr Matthew Turner | Fluid mechanics; stability of fluid flows; vortex dynamics; boundary layer receptivity; sloshing; fluid-vessel interactions |
| Dr Claudia Wulff | Dynamical systems with symmetry; Hamiltonian systems; nonlinear PDEs and pattern formation; numerics of dynamical systems |