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
Interactions of anisotropic inclusions on a fluid membrane
SIAM Journal on Applied Mathematics issue 6 volume 80 page 2448-2471 (1 December 2020)
A suite of reduced-order models of a single-layer lithium-ion pouch cell
Journal of Electrochemical Society issue 14 volume 167 (21 October 2020)
Dynamics of spiral waves in the complex Ginzburg-Landau equation in bounded domains
Physica D: Nonlinear Phenomena volume 414 (11 September 2020)
Probing heterogeneity in li-ion batteries with coupled multiscale models of electrochemistry and thermal transport using tomographic domains
Journal of The Electrochemical Society issue 11 volume 167 page 110538- (20 July 2020)
Corrigendum to “Generalised single particle models for high-rate operation of graded lithium-ion electrodes: Systematic derivation and validation” [Electrochimica Acta 339 (2020) 135862]
Electrochimica Acta volume 351 (23 May 2020)
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.