I am interested in dynamical systems, topology, and the interplay between the two. In particular, I am fascinated with the Conley index, notions of recurrence, expansiveness, homology and dynamical systems, dynamics on surfaces, symbolic dynamics, knot theory, graph theory, and mathematical billiards.
I enjoy the history of mathematics, especially Euler’s polyhedron formula and the birth of topology.
I like recreational mathematics and puzzles.
I am fascinated with technology and the ways it can be used in the classroom.
I’ve written a book, Euler’s Gem: The Polyhedron Formula and the Birth of Topology, which is now out in stores.