[in Florence]

Genevieve Walsh

Mathématicienne (Professor)
Department of Mathematics
Tufts University

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

Office: SEC LL011
Spring 2020 Office hours: Monday Thursday 9-10:30

CV, Current as of January 2020

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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

Upcoming travel/conferences/etc:

February 24 2020 Temple Colloquium

March 21-22 AMS Special Session "Subgroups in positive curvature" Medford MA

August 17-21 and September 21-25 AIM Squares, San Jose CA.

Fall 2020 MSRI Program in "Random and Arithmetic Structures in Topology"

Teaching 2020

Spring semester 2020 I am teaching 61 Discrete Mathematics and 70 Linear Algebra. Fall Semester I will be on Sabbatical.

Research Articles:

Papers on the arXiv

"Incoherence and fibering of many free-by-free groups," Joint with Joint with R. Kropholler. arXiv:1910.09601. Submitted.

"Right-angled Coxeter groups with non-planar boundary" Joint with P. Dani and M. Haulmark. arXiv:1902.01029. Submitted.

"Some groups with planar boundaries" Joint with S.-H. Kim, To appear, Journal of Differential Geometry

"On groups with $S^2$ Bowditch boundary" Joint with Bena Tshishiku. arXiv:1710.09018. To Appear, Groups, Geometry and Dynamics

"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

I'm currently editing a book with Luisa Paoluzzi: ``Topics in Geometric Group Theory and Topology: Proceedings of the CIRM Spring 2018 Jean Morlet Semester"

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- 1709964 (2017-2020)