CV, Current as of December 2011

Teaching

Papers:

"Knot commensurability and the Berge conjecture" . Joint with M. Boileau, S. Boyer and R. Cebanu. Geometry and Topology, to appear. arXiv:1008.1034.

"Orbifolds and commensurability". "Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory" Contemporary Mathematics Vol 541 (2011) 221--231.

"Incompressible surfaces and spunnormal form" . Geometriae Dedicata Vol 151 (2011) 221--231.

"The automorphism group of the free group of rank two is a CAT(0) group" . Joint with Kim Ruane and Adam Piggott. Michigan Math. J. Vol 59, (2010), 297--302.

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

"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 group 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.

Work in progress:

``The bumping set and the characteristic submanifold"

``Orbi-graphs and automorphisms" (Joint with A. Piggott and K. Ruane)

Papers on the arXiv

Dissertation

More 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