CV, Current as of November 2007

Papers:

"Commensurability classes of 2-bridge knots". Joint with Alan Reid. Submitted. arXiv:math.GT/0612473.

"Incompressible surfaces and spunnormal form" submitted.

"Virtually Haken filings and semi-bundles" , Joint with Daryl Cooper. , Geometry and Topology,Vol 10 (2006) 2247-2269.

"Three-manifolds, virtual homology, and group determinants" . Joint with Daryl Cooper. , Geometry and Topology, Vol. 10 (2006) 2247-2269.

"Great circle links and virtually fibered knots", Topology, Vol 44 (2005) No. 5, pp. 947--958.

"Double bubbles in the three-torus". Experimental Mathematics, Vol 12 (2003) No. 1, pp. 79-89.

Preprints:

"On commensurability of knot complements". Joint with M. Boileau and S. Boyer.

Papers on the arXiv

Dissertation

In September 2005, I gave a talk at Oberwolfach on joint work with Daryl Cooper showing that infinitely many fillings of any one-cusped hyperbolic 3-manifold are virtually Haken. Here is the (2 page) abstract for the report of the conference.

Oberwolfach abstract

Teaching

Previous courses at Tufts:
Spring 2007: Math 46 Linear Algebra
Fall 2007: Math 217 Geometry & Topology; Math 12 Calculus II

Math Links

MathSciNet Search
Thurston's notes Here you can download Thurston's notes "The Geometry and Topology of 3-Manifolds", from his 1979 course at Princeton.
Mazes by Weeks Everyone needs this.
American Math Society
Everything else