Professor of Mathematics and its Applications.
+44 1865 270507
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
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
A dynamic network model for the action of low salinity on two-phase flow
Advances in Water Resources volume 137 page 103520-103520 (1 March 2020)
An asymptotic derivation of a single particle model with electrolyte
Journal of The Electrochemical Society issue 15 volume 166 page A3693-A3706 (8 November 2019)
A multiphase multiscale model for nutrient limited tissue growth, Part II: A simplified description
ANZIAM Journal page 1-14 (18 September 2019)
Faster lead-acid battery simulations from porous-electrode theory: Part II. Asymptotic analysis
Journal of The Electrochemical Society issue 12 volume 166 page A2372-A2382 (3 July 2019)
Faster lead-acid battery simulations from porous-electrode theory: Part I. Physical model
Journal of The Electrochemical Society issue 12 volume 166 page A2363-A2371 (3 July 2019)
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.