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
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) Full text available
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) Full text available
A simple mechanochemical model for calcium signalling in embryonic epithelial cells.
Journal of mathematical biology issue 7 volume 78 page 2059-2092 (June 2019)
On the figure of elastic planets I: gravitational collapse and infinitely many equilibria.
Proceedings. Mathematical, physical, and engineering sciences issue 2224 volume 475 page 20180815- (17 April 2019)
Modelling Low-Salinity Oil Recovery Mechanisms Using an Ion Dissociation Model
TRANSPORT IN POROUS MEDIA issue 3 volume 127 page 685-709 (April 2019) Full text available
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.