Genevieve Walsh

Mathématicienne (Professor)

Department of Mathematics
Tufts University

Spring 2023 CRM-Simons Scholar, Thematic Program in GGT
Spring 2018 Chaire Jean-Morlet CIRM

Paper mail:
Genevieve Walsh, Department of Mathematics
574 Boston Ave
Tufts University
Medford, MA 02155
E-mail: genevieve.walsh@tufts.edu

CV, Current as of Nov 2020
Office: 565 JCC (Joyce Cummings Center, by the Green Line Tufts stop)
Fall 2022 Office hours (in person) TBA.
Geometric Group Theory and Topology Seminar
Tufts AWM email list


Jan 18-29 2022 CIMPA School: Groups and Geometry in Kolkata

March 19-20 2022 AMS Sectional meeting at Tufts

May 6-8 2022 Cornell Topology Festival (Ithaca, NY)

June 20-24 2022 Geometry, Arithmetic and Groups (Alan Reid)

June 20-24 2022 Hyperbolic groups and their generalizations (IHP, Paris)

August 17-19 2022 Wasatch Topology Conference (Park City, Utah)

January - July 2023 Thematic Program in Geometric Group Theory, CRM Montreal Canada

July 16-27 2023 Women in Groups, Geometry and Dynamics, Ashton, Idaho

Some limit set pictures:

A punctured torus group with a square root adjoined

An orbifold generated by reflections with interesting characteristic suborbifold


Spring semester 2022 I am teaching Topics in Geometric Group Theory and Topology. Please e-mail me with any questions or topics requests.

Research Articles:

Papers on the arXiv

R. Kropholler, S. Vidussi, G.S. Walsh, Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group, arXiv:2103.06930, Submitted.

G. C. Hruska and G. S. Walsh, Planar boundaries and parabolic subgroups, arXiv:2008.07639, Submitted.

R. Kropholler, S. Vidussi, G. S. Walsh, Incoherence of free-by-free and surface-by-free groups, arXiv:2005.01202, Submitted.

"Right-angled Coxeter groups with non-planar boundary" Joint with Pallavi Dani and Matthew Haulmark. arxiv:arXiv:1902.01029. To Appear, Groups Geometry and Dynamics.

R. Kropholler, G. S. Walsh, Incoherence and fibering of many free-by-free groups, To Appear, Annales de l'Institut Fourier. arXiv:1910.09601

S.-H. Kim and G. S. Walsh, Some groups with planar boundaries, To Appear, Journal of Differential Geometry. arXiv:1907.06898.

"On groups with S^2 Bowditch boundary" Joint with Bena Tshishiku. Groups Geom. Dyn. 14 (2020), no. 3, 791?811. arXiv:1710.09018.

"Erratum to groups with S^2 Bowditch boundary" Joint with Bena Tshishiku. Submitted.

"Boundaries of Kleinian groups" . Joint with P. Haïssinsky and L. Paoluzzi. Illinois Journal of Mathematics (Special Haken Issue) Vol 60, no. 1 (2016) 353--364.

"Right-angled Coxeter groups, hyperbolic cubes, and acute triangulations". Joint with S.-H. Kim. Journal of Topology Vol. 9 (2016) 117--142 Link to on-line article

"Big Dehn surgery space and the link of $S^3$ . Joint with N. Hoffman. Proceedings of the American Mathematical Society, Series B . Vol. 2 (2015) 17--34.

"Knot complements, hidden symmetries, and reflection orbifolds" . Joint with M. Boileau, S. Boyer, and R. Cebanu. Annales de la Faculté des Sciences de Toulouse Vol. 6 (2015) no.5 1179--1201.

"The bumping set and the characteristic submanifold" . Algebraic and Geometric Topology. , Vol 14 (2014) 283--297.

"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.

"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.

Other papers/stuff

BOOK REVIEW: Review of ``Mostly Surfaces", by R. E. Schwartz, American Mathematical Monthly , Vol 121 (2014) 954--956.

"Big Dehn surgery space and the link of $S^3" uses the computer program Orb, details of which can be found here.

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

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


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 DMS - 2005353 (2020-2023)