Status:
Professor of Mathematics and its Applications.
Personal website:
+44 1865 270507
ORCID iD:
https://orcid.org/0000-0003-3347-6024
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Books:
Stochastic modelling of reaction-diffusion processes
ISBN-13: 9781108498128
(4 November 2019)
Highlighted Publications:
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
Recent Publications:
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)
Research interests:
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.