CV, Current as of August 2009

Teaching

Algebra (Math 145)
TTh 1:30 - 2:45 BP 05

Calculus II (Math 12)
TTh F 12:00 - 12:50 BP 07

Papers: (submitted and published)

"The automorphism group of the free group of rank two is a CAT(0) group" Joint with Kim Ruane and Adam Piggott. To Appear, Michigan Math. Journal

"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.

"Surfaces in finite covers and the gorup determinant" In: Low Dimensional Manifolds. Oberwolfach Reports Vol. 2 (2005). (non-refereed)

"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)

"On the window" (Sept 2008 Version)

Papers on the arXiv

Dissertation

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