Published/accepted papers

• (with Matt Durham and Yair Minsky) Stable cubulations, bicombings, and barycenters
  Accepted in Geometry & Topology


• (with Jason Behrstock and Mark Hagen) Quasiflats in hierarchically hyperbolic spaces [Talk]
  Accepted in Duke Mathematical Journal


• (with Dominik Gruber) Divergence and quasi-isometry classes of random Gromov's monsters
  Accepted in Math. Proceedings of the Cambridge Philosophical Society


• (with Alessandra Iozzi and Cristina Pagliantini) Characterising actions on trees yielding non-trivial quasimorphisms
  Accepted in Annales mathématiques du Québec


• (with François Dahmani and Mark Hagen) Dehn filling Dehn twists
  Accepted in Proceedings A of the Royal Society of Edinburgh


• (with Pierre Mathieu) Deviation inequalities and CLT for random walks on acylindrically hyperbolic groups
  Accepted in Duke Mathematical Journal



• (with John MacKay) Quasi-hyperbolic planes in relatively hyperbolic groups  [Blog post]
  Accepted in Ann. Sci. Fenn.


• (with Daniel Groves and Jason Manning) Boundaries of Dehn fillings
  Accepted in Geometry & Topology


• (with Jason Behrstock and Mark Hagen) Hierarchically hyperbolic spaces II: Combination theorems and the distance formula
  Accepted in Pacific Journal of Mathematics


• (with Tobias Hartnick) Bounded cohomology and virtually free hyperbolically embedded subgroups
  Accepted in Groups, Geometry, and Dynamics


• Many Haken Heegaard splittings
  Accepted in Journal of Topology and Analysis


• (with Federico Franceschini, Roberto Frigerio and Beatrice Pozzetti) The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
  Accepted in Commentarii Mathematici Helvetici


• (with Dominik Gruber) Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
  Accepted in Annales de L'Institut Fourier


• (with Yago Antolin, Mahan Mj and Sam Taylor) Intersection properties of stable subgroups and bounded cohomology
  Accteped in Indiana Univ. Math. J.


• (with David Hume) Groups with no coarse embeddings into hyperbolic groups
  NYJM 23 (2017), 1657-1670.


• (with Joseph Maher) Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings
  Accepted in IMRN


• What is a hierarchically hyperbolic space?  [Blog post: Intro to HHSs][Talk: Intro to HHSs] [Talk: Intro to HHSs for cube complexes people]
  Accepted in Proccedings of the "Beyond hyperbolicity" conference


• (with Sam Taylor) Largest projections for random walks and shortest curves for random mapping tori
  Accepted in Mathematical Research Letters


• (with Matthew G. Durham and Mark Hagen) Boundaries and automorphisms of hierarchically hyperbolic spaces
  Geometry & Topology 21 (2017), 3659-3758.


• (with Jason Behrstock and Mark Hagen) Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
  Proceedings of the LMS 114 (2017), 890-926.


• (with Jason Behrstock and Mark Hagen) Hierarchically hyperbolic spaces I: curve complexes for cubical groups [Blog post: Intro to HHSs][Talk: Intro to HHSs] [Talk: Intro to HHSs for cube complexes people]
  Geometry & Topology 21 (2017), 1731-1804.


• (with Jason Behrstock, Mark Hagen and (appendix only) Pierre-Emmanuel Caprace) Thickness, relative hyperbolicity, and randomness in Coxeter groups
      Here is the source code of the software associated with the paper. Please let us know if you have questions, comments, new data...
  Algebraic & Geometric Topology 21 (2017), 1731-1804.


• (with Yago Antolin and Ashot Minasyan) Commensurating endomorphisms of acylindrically hyperbolic groups and applications
  Groups, Geometry, and Dynamics 10 (2016), 1149-1210.


• (with Piotr Przytycki) A note on acylindrical hyperbolicity of Mapping Class Groups
  Advanced Studies in Pure Mathematics, Hyperbolic Geometry and Geometric Group Theory conference proceedings, 255-264.


• (with Roberto Frigerio and Beatrice Pozzetti) Extending higher dimensional quasi-cocycles  [Talk] [Talk: Overview of bounded cohomology of acylindrically hyperbolic groups]
  Journal of Topology 8 (2015), 1123-1155.


• Contracting elements and random walks  [Blog post]
  Crelle's Journal 742 (2018), 79-114


• (with Roberto Frigerio and Jean-François Lafont) Rigidity of high dimensional graph manifolds  [Blog post]
  Asterisque 372 (2015), xxi+177 pp.


• Tracking rates of random walks  [Blog post]
  Israel Journal of Mathematics 220 (2017), 1-28.


• Quasi-convexity of hyperbolically embedded subgroups
  Mathematische Zeitschrift 283 (2016), 649-658.


• (with Isaac Goldbring) The fundamental group of a locally finite graph with ends: a hyperfinite approach
  Fundamenta Mathematicae 232 (2016), 21-39.


• (with John MacKay) Embedding relatively hyperbolic groups in products of trees
  Algebraic & Geometric Topology 13 (2013), 2261-2282.


• (with Eduardo Martínez-Pedroza) Virtual amalgamation of relatively quasiconvex subgroups
  Algebraic & Geometric Topology 12 (2012), 1993-2002. [pdf]


• Projections and relative hyperbolicity  [Blog post]
  L'Enseignement Mathématique 59 (2013), 165-181.


• (with David Hume) Embedding universal covers of graph manifolds in products of trees [Blog post]
  Proceedings of the AMS 141 (2013), 3337-3340.


• Tree-graded asymptotic cones
  Groups, Geometry, and Dynamics 7 (2013), 697-735.


• Separable and tree-like asymptotic cones of groups
  Münster Journal of Mathematics 5 (2012), 233-248.


• Exponential triples
  Electronic Journal of Combinatorics 18 (1) (2011). [arXiv]


• (with Roberto Frigerio) Characterizing hyperbolic spaces and real trees
  Geometriae Dedicata 142 (2009), 139-149. [arXiv]

Preprints/submitted papers