My research interests are broadly in Stochastic Differential Equations (SDEs) and Imaging. Details are available in my publications.
I am interested in all aspects of stochastic differential equations.
The main focus has been on numerical analysis of methods for the stochastically forced reaction diffusion equations. Recent work with Professor Gabriel Lord has focused on post processing methods for this type of problem.
I am especially interested in applications, to stochastic models for excitable media. Excitable media model the propagation of electro-chemical pulses of excitation that stimulate the heart beat for example and are subject to stochasticity. Background noise and inhomogeneities in the media effect the dynamics. I am interested in exploring and modelling this phenomenon.
Other problems I have looked at
I have become interested in a number of problems related to visualisation and imaging in biology. With Professor Terri Attwood, we are looking at visualising biological sequence alignments. With Professor Stephen Marsland, we looked at image registration using the geodesic interpolating spline. Underlying both techniques is a simple Hamiltonian particle model.
I am interested in recruiting students to work on dissertation projects for both PhD and MSc level. Enquiries about study for a PhD into any of the following areas are welcome. Contact me! Here is a list of recent and current students.