Genevieve Walsh's Home Page

Genevieve Walsh

Assistant Professor Department of Mathematics
Tufts University

Paper mail: Department of Mathematics 503 Boston Ave Tufts University Medford, MA 02155 USA E-mail: genevieve.walsh@tufts.edu Office: 213 Bromfield-Pearson Current Office hours: Tuesday 9:30 - 10:30, Thursday 4:15-5:15.

Some topology links:

Get the latest topology news here
and here
Geometric Group Theory and Topology Seminar

Some limit set pictures:

A punctured torus group with a square root adjoined

An orbifold generated by reflections with interesting characteristic suborbifold

CV, Current as of January 2013

Teaching

Spring 2013

This semester I am teaching 150-03, Point-Set Topology, and 250-03, Hyperbolic Geometry II. The syllabi, notes and papers are available on Trunk

Fall 2012
For those interested, here is the syllabus for Abstract Linear Algebra
Here is the syllabus for Coxeter Groups and Hyperbolic Geometry
Suggested books

Papers (Published):

"Knot commensurability and the Berge conjecture" . Joint with M. Boileau, S. Boyer and R. Cebanu. Geometry and Topology, Vol 16 (2012) 625--664.

"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.

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

"Virtually Haken filings and semi-bundles" . Joint with Daryl Cooper. Geometry and Topology Vol 10 (2006) 2237-2245.

"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". Joint with M. Carrion Alvarez, J. Corneli, and S. Beheshti. Experimental Mathematics Vol 12 (2003) No. 1, pp. 79-89.

Papers (submitted):

"The bumping set and the characteristic submanifold" , submitted.

Work in Progress:

"Right-angled Coxeter groups, hyperbolic cubes, and acute triangulations" (Joint with S. Kim), in progress.

"Orbi-graphs and automorphisms" (Joint with A. Piggott and K. Ruane), in progress.

"On knot complements with hidden symmetries" (Joint with M. Boileau, S. Boyer, and R. Cebanu), in progress.

"Big Dehn surgery space and the link of $S^3$ (Joint with N. Hoffman), in progress.

Papers on the arXiv

The topic of my dissertation is geodesic links in the 3-sphere.

Dissertation