I received my B.A. in mathematics from the University of Wisconsin (Madison) in 1982. I continued my graduate work at Madison and received my Ph.D. in 1988 in algebraic topology, specialized in Nielsen fixed point theory in the presence of a group action. Areas related to my primary research include dynamical systems (qualitative approach to differential equations), differential geometry, combinatorics and low dimensional geometric topology. In recent years, I have been interested in geometric group theory and its application to topological coincidence theory, and the application of topological fixed point theory and other topological methods to nonlinear analysis. In general, I am interested in the interplay between algebra and geometry, e.g. how to obtain geometric information from algebraic data and vice versa.
I have taught several Short Term Seminars s45 including topics such as `Groups and Geometry', `Introduction to Combinatorics', and `Introduction to Knot Theory'. I have also supervised senior theses on differential geometry, combinatorial optimization (operations research) and on (hyperbolic) geometry of surfaces. In the Winter semester of 1995, I taught a seminar (Math 365) on modern treatment of classical geometries and I taught operations research the following Short Term.