Research

Most of my papers are available through the ArXiv.

My current main research interest is graph theory, especially spatial graphs. This is a topological way of thinking about graphs. Broadly speaking I'm interested in generaliziations of Kuratowski's Theorem, which classifies planarity in terms of two obstruction graphs, K5 and K3,3.

I also maintain a long-standing interest in knot theory, especially the study of exceptional Dehn surgeries using techniques of geometric topology.

I enjoy the give and take of collaboration, including with my students. Please look here for a listing of student projects I have supervised.

Two things you won't find on the ArXiv are my theses.

My Ph.D. dissertation, under Dr. Steven Boyer, is titled The Culler-Shalen seminorms of pretzel knots (ps) (pdf)

Dr. John McKay supervised my master's thesis in computational algebra, The computation of Galois groups over function fields. (ps) (pdf)

Chico Topology Conference

Since 2008 I have been the organizer of the Chico Topology Conference, held in the spring of even years. For more information about the conference, look here.

HOME