Papers

Preprints

Fractional distortion in hyperbolic groups arxiv

(with Timothy Riley)

Published or accepted

The algebraic structure of hyperbolic graph braid groups, to appear in International Journal of Algebra and Computation. arxiv

(with B. Appiah, W. Ge, C. Hudson, S. Jain, M. Lemoine, J. Murphy, J. Murray, A. Pandikkadan, K. Schreve, H. Vo)

Divergence, thickness and hypergraph index for general Coxeter groups, to appear in Israel Journal of Mathematics arxiv

(with Yusra Naqvi, Ignat Soroko, and Anne Thomas)

Non-quasiconvex subgroups of hyperbolic groups via Stallings-like techniques, Transactions of the American Mathematical Society, 376 (2023), no. 2. arxiv

(with Ivan Levcovitz)

Right-angled Artin subgroups of right-angled Coxeter and Artin groups, to appear in Algebraic and Geometric Topology. arxiv

(with Ivan Levcovitz)

Right-angled Coxeter groups with non-planar boundary, Groups, Geometry, and Dynamics, 17 (2023), no. 1. arxiv

(with Matthew Haulmark and Genevieve Walsh)

Subgroups of right-angled Coxeter groups via Stallings-like techniques, Journal of Combinatorial Algebra, 5 (2021), no. 3. arxiv

(with Ivan Levcovitz)

The large-scale geometry of right-angled Coxeter groups, (a survey of recent results on right-angled Coxeter groups), Handbook of Group Actions V, (ed. L. Ji, A. Papadopoulos and S.T. Yau), Advanced Lectures in Mathematics, Volume 48, 2020. arxiv.

Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups, Groups, Geometry, and Dynamics, 12 (2018), no. 4. arxiv.

(with Emily Stark and Anne Thomas)

Bowditch's JSJ tree and the quasi-isometry classification of certain Coxeter groups, Journal of Topology, 10 (2017), no. 4 arxiv.

(with Anne Thomas, with an appendix with Anne Thomas and Christopher Cashen)

Divergence in right-angled Coxeter groups, Transactions of the American Mathematical Society, 367 (2015), no. 5. arxiv.

(with Anne Thomas)

Homological and homotopical Dehn functions are different, Proceedings of the National Academy of Sciences (USA), (2013) 110, 19206-19212. arxiv.

(with Aaron Abrams, Noel Brady, and Robert Young)

Pushing fillings in right-angled Artin groups, Journal of the London Mathematical Society (2013) 87, no. 3. arxiv.

(with Aaron Abrams, Noel Brady, Moon Duchin and Robert Young)

Filling loops at infinity in the mapping class group, Michigan Mathematical Journal 61, (2012), Issue 4. arxiv.

(with Aaron Abrams, Noel Brady, Moon Duchin and Robert Young)

Super-exponential 2-dimensional Dehn functions, Groups, Geometry and Dynamics 6, (2012), no. 1. arxiv.

(with Josh Barnard and Noel Brady)

Morse theory and conjugacy classes of finite subgroups II, Geometriae Dedicata 147, (2010), no. 1. arxiv.

(with Noel Brady and Matt Clay)

Morse theory and conjugacy classes of finite subgroups, Geometriae Dedicata 135, (2008), no. 1. arxiv

(with Noel Brady and Matt Clay)

Super-exponential distortion of subgroups of CAT(-1) groups, Algebraic & Geometric Topology 7 (2007).   arxiv

(with Josh Barnard and Noel Brady)

The asymptotic density of finite-order elements in virtually nilpotent groups, Journal of Algebra 316 (2007), no. 1.   arxiv