My mathematical research began in algebraic topology with the study of exotic homology and cohomology theories and their connections with Banach Algebras. After that, I developed a transfer for finite group actions and studied a number that appears in the transfer that I call the "coherence number" of the group. Lately, I've been using the Hausdorff dimension of the orbits of dynamical systems to generate mathematical art.

My educational research concerns the use of multimedia and computer software to teach mathematical concepts. I recently published a complete multimedia treatment of first year calculus called "Journey Through Calculus".