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 JCC Tufts University Medford, MA 02155 USA 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

Conferences/travel February 2023 Young Geometric Group Theory XI (mini-course speaker) January - July 2023 Thematic Program in Geometric Group Theory, CRM Montreal Canada July 16-27 2023 Women in Groups, Geometry and Dynamics, Ashton, Idaho August 2023 Groups, Actions, and Geometries (Tufts) October 2023 AIM: Rigidity properties of free-by-cyclic groups March 11-15 and April 22-26 AIM Squares: Pasadena, CA. July 2024 Geometry in Groups, ICTS, Bangaluru, India. Some limit set pictures: A punctured torus group with a square root adjoined An orbifold generated by reflections with interesting characteristic suborbifold

Teaching

Research Articles:

P. Haissinsky, L. Paoluzzi, G.S. Walsh, On groups with Schotty set boundary, arXiv:2309.08735, Submitted.

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,, To Appear, Math. Research Letters. arXiv:2008.07639

"Right-angled Coxeter groups with non-planar boundary" Joint with Pallavi Dani and Matthew Haulmark. arxiv:arXiv:1902.01029. Groups Geom. Dyn. 17 (2023), no. 1, 127--155.

R. Kropholler, G. S. Walsh, Incoherence and fibering of many free-by-free groups, Ann. Inst. Fourier (Grenoble) 72 (2022), no. 6, 2385--2397. arXiv:1910.09601

S.-H. Kim and G. S. Walsh, Some groups with planar boundaries, Surv. Differ. Geom., 25 International Press, Boston, MA, 2022, 253--280. 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. Groups Geom. Dyn. 15 (2021), no. 3, 1133--1137.

"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.

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 DMS - 2005353 (2020-2023)