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Emily Stark

Department of Mathematics
Wesleyan 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 research is in geometric group theory and low-dimensional topology. My interests include quasi-isometric classification and rigidity, notions of commensurability, group boundaries, and surfaces and 3-manifolds.

My Ph.D. adviser was Genevieve Walsh.

Papers:

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

Wesleyan University:
    Math 523: Graduate Topology I (Fall 2022)
    Math 121: Calculus I (Fall 2022)
    Math 524: Graduate Topology I (Spring 2022)
    Math 244: Point-Set Topology (Spring 2022)
    Math 223: Linear Algebra (Fall 2021)
    Math 122: Calculus II (Fall 2021)
    Math 526: Graduate Topology II: Geometric Group Theory (Spring 2021)
    Math 121: Calculus I (Spring 2021)
    Math 223: Linear Algebra (Fall 2020)
    Math 245: Algebraic Topology (Fall 2020)

The University of Utah:
    Calculus I (Spring 2020)
    Calculus I (Fall 2019)

At Tufts University, I was the primary instructor for the following courses:
    Applied Calculus II (Spring 2014)
    Applied Calculus II (Fall 2013)
    Calculus II (Summer 2013)
    Applied Calculus II (Spring 2013)
    Introduction to Calculus (Fall 2012)

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.

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