My research is centered around algebraic topology and homotopy theory. Over the years, my research interests have broadened to include algebraic K-theory and group representation theory.

My work in topology has included work on the development of a character theory for complex oriented cohomology theories, iterated loopspace theory, Goodwillie functor calculus, periodic homotopy, topological realization questions, chromatic fixed point theory, stable homotopy groups, and model categories.

My algebraic work has been on the topics of modern Steenrod algebra technology over all finite fields, group cohomology, generic representation theory of the finite general linear groups, rational cohomology, and homological stability questions.