Publications

A nonplanar graph in the boundary of a Coxeter group

  • Hyperbolic groups and local connectivity, (with Kim Ruane). To appear in R. Geoghegan, C. Guilbault, and K. Ruane, editors Topology at infinity of discrete groups, a volume of Contemporary Mathematics. Amer. Math. Soc. arXiv:2308.14964
  • Local connectedness of boundaries for relatively hyperbolic groups, (with Ashani Dasgupta). To appear in J. Topol. arXiv:2204.02463
  • Coarse Alexander duality for pairs and applications, (with Emily Stark and Hung Cong Tran). To appear in Algebr. Geom. Topol. arXiv:2011.00059
  • Cusped spaces and quasi-isometries of relatively hyperbolic groups, (with Burns Healy). arXiv:2010.09876
  • An introduction to semistability in geometric group theory, (with Kim Ruane). To appear in L. Paoluzzi and G. Walsh, editors, Connections between Geometry, Topology, and Group Theory in low-dimensions (CIRM Jean-Morlet Chair, Spring 2018).  arXiv:1904.12947
  • Planar boundaries and parabolic subgroups, (with Genevieve Walsh). Math. Res. Lett. 30 (2023), no. 4, 1081–1112. arXiv:2008.07639
  • On canonical splittings of relatively hyperbolic groups, (with Matthew Haulmark). Israel J. Math. 258 (2023), no. 1, 249–286. arXiv:1912.00886
  • Connectedness properties and splittings of groups with isolated flats, (with Kim Ruane). Algebr. Geom. Topol. 21 (2021), no. 2, 755–799. arXiv:1705.00784
  • Surface group amalgams that (don’t) act on 3–manifolds, (with Emily Stark and Hung Cong Tran). Amer. J. Math. 142 (2020), no. 3, 885–921. arXiv:1705.01361
  • Nonhyperbolic Coxeter groups with Menger boundary, (with Matthew Haulmark and Bakul Sathaye). Enseign. Math. 65 (2019), no. 2, 207–220. arXiv:1812.04649
  • Distortion of surfaces in graph manifolds, (with Hoang Thanh Nguyen). Algebr. Geom. Topol. 19 (2019), no. 1, 363–395. arXiv:1703.07458
  • Finiteness properties of cubulated groups, (with Daniel T. Wise). Compos. Math. 150 (2014), no. 3, 253–506.  arXiv:1209.1074
  • Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity, (with Igor Belegradek).  Groups Geom. Dyn. 7 (2013), no. 1, 13–38.  arXiv:1008.4745
  • Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices, (with Benson Farb and Anne Thomas). Geometry, rigidity, and group actions, 515–560, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 2011.  arXiv:0803.2484
  • Relative hyperbolicity and relative quasiconvexity for countable groups. Algebr. Geom. Topol. 10 (2010), no. 3, 1807–1856. arXiv:0801.4596

  • A relatively cocompact cubulation

    Packing subgroups in relatively hyperbolic groups, (with Daniel T. Wise). Geom. Topol. 13 (2009) 1945–1988. arXiv:math/0609369

  • Erratum to “Hadamard spaces with isolated flats,” (with Bruce Kleiner). Geom. Topol. 13 (2009) 699–707. arXiv:0811.3193
  • John H. Hubbard. Teichmüller Theory and Applications to Geometry, Topology, and Dynamics. Volume 1: Teichmüller Theory, with contributions by A. Douady, W. Dunbar, R. Roeder, S. Bonnot, D. Brown, A. Hatcher, C. Hruska, and S. Mitra. Matrix Editions, 2006.
  • Commensurability invariants for nonuniform tree lattices, (with Benson Farb). Israel J. Math. 152 (2006), 125–142. arXiv:math/0409094
  • Hadamard spaces with isolated flats, (with Bruce Kleiner; with an appendix by M. Hindawi, Hruska, and Kleiner). Geom. Topol. 9 (2005), 1501–1538. arXiv:math/0411232
  • Geometric invariants of spaces with isolated flats. Topology 44 (2005), no. 2, 441–458. arXiv:math/0404208
  • Nonpositively curved 2–complexes with isolated flats. Geom. Topol. 8 (2004), 205–275. arXiv:math/0402231
  • Towers, ladders, and the B.B. Newman spelling theorem, (with Daniel T. Wise). J. Austral. Math. Soc. 71 (2001), no. 1, 53–69. (pdf)
  • The shortest enclosure of two connected regions in a corner, (with D. Leykekhman, D. Pinzon, B. Shay, and J. Foisy). Rocky Mountain J. Math. 31 (2001), no. 2, 437–482. (pdf)