Published/accepted papers

• (with Uri Bader) Characterising acylindrical hyperbolicity via permutation actions
  Accepted in Proceedings of the AMS


• (with Antoine Goldsborough, Mark Hagen, and Harry Petyt, with an appendix by Jacob Russell) Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity
  Accepted in Groups, Geometry, and Dynamics


• (with Ruth Charney, Matt Cordes, Antoine Goldsborough, and Stefanie Zbinden) (Non-)existence of Cannon-Thurston maps for Morse boundaries
  Accepted in Bulletin of the LMS


• (with Uri Bader, Pierre-Emmanuel Caprace, and Alex Furman) Hyperbolic actions of higher-rank lattices come from rank-one factors
  Accepted in Ergodic Theory and Dynamical Systems


• (with Peter Feller and Gabriele Viaggi) Uniform models and short curves for random 3-manifolds
  Accepted in Compositio Mathematica


• (with Jason Behrstock, Mark Hagen, and Alexandre Martin) A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups
  Journal of Topology 17 (2024).


• (with Elia Fioravanti, Annette Karrer, and Stefanie Zbinden) On the Čech cohomology of Morse boundaries
  Adv. Math. 443 (2024), Paper No. 109601, 53 pp.


• (with John MacKay) Maps between relatively hyperbolic spaces and between their boundaries
  Trans. Amer. Math. Soc. 377 (2024), no. 2, 1409–1454.


• Appendix to: Property (NL) for group actions on hyperbolic spaces, by Sahana Balasubramanya, Francesco Fournier-Facio, and Anthony Genevois
  Accepted in Groups, Geometry, and Dynamics


• (with Mark Hagen, Jacob Russell, and Davide Spriano) Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms
  Accepted in Annales de l'insitut Fourier


• (with Matt Cordes and Stefanie Zbinden) Corrigendum to "Morse Boundaries of Proper Geodesic Metric Spaces"
  Accepted in Groups, Geometry, and Dynamics.


• (with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups I: A hyperbolic action
  J. Topol. 16 (2023), no. 2, 757–805.


• (with Abdul Zalloum) Morse subsets of injective spaces are strongly contracting
  Accepted in Groups, Geometry, and Dynamics


• (with Mark Hagen) Some examples of separable convex-cocompact subgroups
  Bull. Lond. Math. Soc. 55 (2023), no. 5, 2242–2257.


• (with Antoine Goldsborough) Markov chains on hyperbolic-like groups and quasi-isometries
  Accepted in Crelle


• (with Mark Hagen and Alexandre Martin) Extra-large type Artin groups are hierarchically hyperbolic
  Math. Ann. 388 (2024), no. 1, 867–938.


• (with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
  Comment. Math. Helv. 99 (2024), no. 1, 149–228.


• (with Roberto Frigerio) Central extensions and bounded cohomology
  Ann. H. Lebesgue 6 (2023), 225–258.


• (with Matt Durham and Yair Minsky) Stable cubulations, bicombings, and barycenters
  Geom. Topol. 27 (2023), no. 6, 2383–2478.


• (with Adrien Boulanger, Pierre Mathieu, and Cagri Sert) Large deviations for random walks on hyperbolic spaces
  Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), no. 3, 885–944.


• (with Jason Behrstock and Mark Hagen) Quasiflats in hierarchically hyperbolic spaces [Talk]
  Duke Math. J. 170 (2021), no. 5, 909–996.


• (with Ruth Charney and Matt Cordes) Complete topological descriptions of certain Morse boundaries
  Groups, Geometry, and Dynamics 17, no. 1, 157-184.


• (with Dominik Gruber) Divergence and quasi-isometry classes of random Gromov's monsters
  Math. Proc. Cambridge Philos. Soc. 171 (2021), no. 2, 249–264.


• (with Mladen Bestvina, Ken Bromberg and Koji Fujiwara) Acylindrical actions on projection complexes
  Here is a shortened version of the paper still containing the main techniques and ideas.
  Enseign. Math. 65 (2019), no. 1-2, 1–32.


• (with Alessandra Iozzi and Cristina Pagliantini) Characterising actions on trees yielding non-trivial quasimorphisms
  Ann. Math. Qué. 45 (2021), no. 1, 185–202.


• (with François Dahmani and Mark Hagen) Dehn filling Dehn twists
  Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 1, 28–51.


• (with Pierre Mathieu) Deviation inequalities for random walks
  Duke Math. J. 169 (2020), no. 5, 961–1036.



• (with John MacKay) Quasi-hyperbolic planes in relatively hyperbolic groups  [Blog post]
  Ann. Acad. Sci. Fenn. Math. 45 (2020), no. 1, 139–174.


• (with Daniel Groves and Jason Manning) Boundaries of Dehn fillings
  Geom. Topol. 23 (2019), no. 6, 2929–3002.


• (with Jason Behrstock and Mark Hagen) Hierarchically hyperbolic spaces II: Combination theorems and the distance formula
  Pacific J. Math. 299 (2019), no. 2, 257–338.


• (with Tobias Hartnick) Bounded cohomology and virtually free hyperbolically embedded subgroups
  Groups Geom. Dyn. 13 (2019), no. 2, 677–694.


• Many Haken Heegaard splittings
  J. Topol. Anal. 12 (2020), no. 2, 357–369.


• (with Federico Franceschini, Roberto Frigerio and Beatrice Pozzetti) The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
  Comment. Math. Helv. 94 (2019), no. 1, 89–139.


• (with Dominik Gruber) Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
  Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2501–2552.


• (with Yago Antolin, Mahan Mj and Sam Taylor) Intersection properties of stable subgroups and bounded cohomology
  Indiana Univ. Math. J. 68 (2019), no. 1, 179–199.


• (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
  Int. Math. Res. Not. IMRN 2019, no. 13, 3941–3980.


• What is a hierarchically hyperbolic space?  [Blog post: Intro to HHSs][Talk: Intro to HHSs] [Talk: Intro to HHSs for cube complexes people]
  London Math. Soc. Lecture Note Ser., 454, Cambridge Univ. Press, Cambridge, 2019.


• (with Dominik Gruber and Romain Tessera) Gromov's random monsters do not act non-elementarily on hyperbolic spaces
  Proc. Amer. Math. Soc. 148 (2020), no. 7, 2773–2782.


• (with Sam Taylor) Largest projections for random walks and shortest curves for random mapping tori
  Math. Res. Lett. 26 (2019), no. 1, 293–321.


• (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