CV, Current as of November 2008

Papers: (submitted and published)

"Commensurability classes of 2-bridge knots" Joint with Alan Reid. Algebraic and Geometric Topology Vol 8 (2008) 1031--1057.

"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. (May 2008 version)

"The automorphism group of the free group of rank two is a CAT(0) group" Joint with Kim Ruane and Adam Piggott. (Sept 2008 Version)

"On the window" (Sept 2008 Version)

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

Spring 2008: Math 218 Algebraic Topology and Surface Theory . My office hours are Monday and Wednesday 12 - 1:30.
Course Description

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
Links to people in Low-Dimensional Topology

Partially supported by NSF grant 0805908