Spiral and scroll waves can appear in excitable systems such as cardiac tissue in which their presence indicates that arrhythmias are present. I am interested in particular dynamics of these waves and in particular the transition from rigid rotation to meander and the types of bifurcations that cause this transition. I also study the transition from meander to hypermeander and have developed numerical techniques to study these chaotic types of waves.

I also study mathematical modelling of visual perception. I worked with colleagues in Manchester and Cardiff on optic flow parsing, developing psychophysical studies to establish connections between various features of the visual system that allow us to determine what objects are moving in our field of view.

I also work with other colleagues both at Liverpool Hope and further afield on a variety of projects, for instance on the mathematical modelling of borehole samples to see for patterns of naturally occurring fires.