Professor of Mathematics and its Applications.
+44 1865 270507
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Stochastic modelling of reaction-diffusion processes
ISBN-13: 9781108498128 (4 November 2019)
Diffusion of multiple species with excluded-volume effects
Journal of Chemical Physics issue 20 volume 137 (28 November 2012)
Do waveless ships exist? Results for single-cornered hulls
JOURNAL OF FLUID MECHANICS volume 685 page 413-439 (October 2011) Full text available
Multiscale modelling of fluid and drug transport in vascular tumours.
Bull Math Biol issue 6 volume 72 page 1464-1491 (August 2010) Full text available
Motion of spiral waves in the complex Ginzburg-Landau equation
Physica D: Nonlinear Phenomena issue 7 volume 239 page 348-365 (1 April 2010)
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
PHYSICA D-NONLINEAR PHENOMENA issue 3 volume 238 page 319-354 (February 2009) Full text available
Normal form for the onset of collapse: the prototypical example of the nonlinear Schrodinger equation
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics volume 104 (4 October 2021)
Physical modelling of the slow voltage relaxation phenomenon in lithium-ion batteries
Journal of The Electrochemical Society (16 June 2021)
Python battery mathematical modelling (PyBaMM)
Journal of Open Research Software issue 1 volume 9 page 1-8 (8 June 2021)
Homogenisation of flow through periodic networks
SIAM Journal on Applied Mathematics issue 3 volume 81 page 1034-1051 (1 June 2021)
Asymptotic reduction of a lithium-ion pouch cell model
SIAM Journal on Applied Mathematics issue 3 volume 81 page 765-788 (4 May 2021)
Industrial mathematics, mathematical modelling, matched asymptotic expansions, partial differential equations, superconductivity, vortices, dislocations in elastic crystals, complex ray theory, high-frequency acoustic and electromagnetic scattering, free-boundary problems, exponential asymptotics, shear-thinning fluids, subcritical transition to turbulence, mathematical finance, asymptotic approximation of eigenvalues, mechanochemical models in developmental biology, mathematical physiology, tumour growth, nonlinear models of biological tissue.
Prizes, awards, and scholarships:
- Johnson Mathematical Prize, Oxford University, 1992.
- Richard C. DiPrima Prize, Society for Industrial and Applied Maths, 1994.
- Whitehead Prize, London Mathematical Society, 1998.
- Julian Cole Prize, Society for Industrial and Applied Maths, 2002.
- Naylor Prize, London Mathematical Society, 2015.