Nonlinear parbolic systems
Hyperbolic systems
Reactive-Diffusive-Convective systems of partial differential equations
with primary emphasis on models from combustion theory.

Research Interests:
The study of dynamical systems of all kinds typically expressed as a differential or difference equations.
The mathematical methods involved are geometric and topological.

Bob Easton
University of Wisconsin
Office: ECOT 320
Email Website

Research Interests:
Traits that "run in families" are not difficult to identify. In terms of the level of family concern, these traits can range from red hair to particular forms of cancer. A more difficult task is to identify which of these family traits are a result of a shared family environment, which are a result of shared genes, and which are a result of gene-environment interaction. To attempt to accomplish this task it is necessary to first construct a probability model for what is being observed. The parameters of this model will, typically, correspond to the aforementioned situations: determined by genes; determined by environment; determined by gene-environment interaction. Professor Williamson's recent research concerns the development of models and of statistical tests based on these models so that, following the collection of data, inferences can be made about the trait or disease under study.