# Emily Stark

Department of MathematicsWesleyan University

Assistant Professor

E-mail: estark at wesleyan.edu

Office: Exley Science Center

*Mailing Address:*

Department of Mathematics

Wesleyan University

265 Church Street

Middletown, CT 06459

United States

CV

## Research

My Ph.D. adviser was Genevieve Walsh.

#### Papers:

Failure of quasi-isometric rigidity for infinite-ended groups.
(with Nir Lazarovich.) * Submitted. *

Graphically discrete groups and rigidity.
(with Alex Margolis, Sam Shepherd, Daniel Woodhouse.) * Submitted. *

Coarse Alexander duality for pairs and applications.
(with Christopher Hruska, Hung Cong Tran.) * Submitted. *

Free products from spinning and rotating families.
(with M. Bestvina, R. Dickmann, G. Domat, S. Kwak, P. Patel.) To appear, * L'Enseignement Mathematique. *

Planar lattice subsets with minimal vertex boundary.
(with Radhika Gupta, Ivan Levcovitz, Alex Margolis.) To appear, * Electronic Journal of Combinatorics. *

Surprising circles in Morse boundaries of right-angled Coxeter groups.
(with M. Graeber, A. Karrer, N. Lazarovich.) To appear, * Topology and its Applications. *

Action rigidity for free products of hyperbolic manifold groups.
(with Daniel Woodhouse.) To appear, * Annales de l'Institut Fourier. *

Cannon--Thurston maps for CAT(0) groups with isolated flats.
(with B. Beeker, M. Cordes, G. Gardam, R. Gupta.) To appear, * Mathematische Annalen. *

Hyperbolic groups that are not commensurably coHopfian.
(with Daniel Woodhouse.)
* International Mathematics Research Notices. * no 1. (2021) 582-598.

Nonplanar graphs in boundaries of CAT(0) groups.
(with Kevin Schreve.)
* Groups, Geometry, and Dynamics. * 14 (2020) no. 4, 1205-1221.

The visual boundary of hyperbolic free-by-cyclic groups.
(with Yael Algom-Kfir and Arnaud Hilion.)
* Israel Journal of Mathematics. * 224 (2021) no. 2, 501-538.

Quasi-isometric groups with no common model geometry.
(with Daniel Woodhouse.)
* Journal of the London Mathematical Society. (2) 99 (2019), 853–871. *

Detecting a subclass of torsion-generated groups.
* Algebraic and Geometric Topology. * 18-7 (2018) 4037-4068.

Surface group amalgams that (don't) act on 3-manifolds.
(with Christopher Hruska, Hung Cong Tran.)
* American Journal of Mathematics. * 142(3):885–921, (2020).

Topological rigidity fails for quotients of the Davis complex.
* Proceedings of the American Mathematical Society. * 146 (2018), no.12, 5357-5366.

Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups.
(with Pallavi Dani and Anne Thomas.)
* Groups, Geometry, and Dynamics. * 12 (2018) 1273-1341.

Abstract commensurability and quasi-isometric classification of hyperbolic surface group amalgams.
* Geometriae Dedicata. * (2017) 186(1), 39-74.

Intrinsically linked graphs in RP^3.
(with J. Federman, J. Foisy, and K. McNamara.)
* Involve Journal of Mathematics. * (2017) Vol.10-1, 1-20.

Intrinsically linked graphs in projective space.
(with J. Bustamante, J. Federman, J. Foisy, K. Kozai, K. Matthews, K. McNamara, and K. Trickey.)
* Algebraic and Geometric Topology. * Vol. 9 (2009) 1255-1274. (arXiv)

#### My research is partially supported by NSF grant DMS-2204339.

#### Video:

The visual boundary of hyperbolic free-by-cyclic groups.

CIRM - Centre International de Rencontres Mathematiques; Luminy, France. * February 2018. *

Commensurability classification of certain right-angled Coxeter groups and surface amalgams.

Isaac Newton Institute for Mathematical Sciences; Cambridge, England. * January 2017. *

## Teaching and Activities

Math 523: Graduate Topology I (Fall 2023)

Math 121: Calculus I (Fall 2023)

Groups, Actions, and Geometries Conference, a week-long conference with mini-courses and research talks held at Tufts University, August 7-11, 2023. Summer Projects in Mathematics, a program held at the Technion for undergraduates to experience research-level mathematics. I co-led a group in geometric group theory in 2018. Summer@ICERM, a research experience for undergraduates at Brown University. I mentored projects in Summer 2015 on applied topology and dynamics. The Math Circle, a program for young students to work on problems in pure math. I instructed eight ten-week Boston-area Math Circle classes 2012-2015.