Professor of Mathematics and its Applications Director of OCIAM
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
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:
Influence of correlated antigen presentation on T-cell negative selection in the thymus.
Journal of the Royal Society, Interface
issue 148
volume 15
(7 November 2018)
Topological data analysis of continuum percolation with disks.
Physical review. E
issue 1-1
volume 98
page 012318-
(July 2018)
Slip flow through channels with varying elliptic cross section
IMA Journal of Applied Mathematics
(4 June 2018)
Role of Grain Boundaries under Long-Time Radiation.
Physical review letters
issue 22
volume 120
page 222501-
(June 2018)
The effect of ions on the motion of an oil slug through a charged capillary
JOURNAL OF FLUID MECHANICS
volume 841
page 310-350
(25 April 2018)
Full text available
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.