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
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)
On the performance of multilayered membrane filters
Journal of Engineering Mathematics issue 2021 volume 127 (20 March 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.