__Picture of a simulated branching Brownian motion.__

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detailed picture and description.

## Mathematical Interests

My general research interests lie in ** probability theory**. I have a broad interest throughout this field, including
modeling and applications of stochastic processes, although my research has
tended to concentrated on the theoretical side. I also enjoy membership of Bath's
* Centre of Mathematical Biology* where interesting probabilistic models of
biological processes often come to light.

My main focus is on **branching
diffusions** - which can roughly be thought of as models for populations of
'animals' which breed, die and move around in space. This work often involves the inter-play of probability with
mathematical analysis through links with non-linear partial differential
equations. For example, one aim has been to prove results about travelling-wave
solutions of reaction-diffusion equations via probabilistic methods by studying
corresponding branching diffusion models. Related models have been applied to diverse problems from
chemical and physical reactions, population genetics and geology.

Some ** key words** of interest are: