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