My research area is probability theory, especially interacting particle systems and stochastic spatial models. Examples of such systems include: epidemic models, competition models, forest fire models, particle motion models, spatial branching models, hybrid zone models, species area and abundance models, predator prey models, etc.

One of my favorite models is a version of the stepping stone model of mathematical genetics, the voter model. The two-dimensional version of the voter model clusters, as shown by the snapshots below.

The Stepping Stone Model
t=0	t=50	t=1000

The following links give more information on stochastic spatial systems.

• JAVA demos of stochastic spatial systems.
• Source code for s3, an X-Windows package for simulating stochastic spatial systems on UNIX systems.
• An online HTML tutorial on stochastic spatial systems.