Alessandro Sisto
Published/accepted papers

(with John MacKay) Maps between relatively hyperbolic spaces and between their boundaries
Accepted in Transactions of the AMS

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

(with Mark Hagen, Jacob Russell, and Davide Spriano) Equivariant hierarchically hyperbolic structures for 3manifold 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
Accepted in Journal of Topology

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

(with Mark Hagen) Some examples of separable convexcocompact subgroups
Accepted in Bulletin of the LMS

(with Antoine Goldsborough) Markov chains on hyperboliclike groups and quasiisometries
Accepted in Crelle

(with Mark Hagen and Alexandre Martin) Extralarge type Artin groups are hierarchically hyperbolic
Accepted in Math. Annalen

(with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups II: Hierarchical hyperbolicity and
quasiisometric rigidity
Accepted in Commentarii Math. Helvetici

(with Roberto Frigerio) Central extensions and bounded cohomology
Accepted in Annales Henri Lebesgue

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

(with Adrien Boulanger, Pierre Mathieu, and Cagri Sert) Large deviations for random walks on hyperbolic spaces
Accepted in Annales scientifiques de l'École normale supérieure.

(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, 157184.

(with Dominik Gruber) Divergence and quasiisometry 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. 12, 1–32.

(with Alessandra Iozzi and Cristina Pagliantini) Characterising actions on trees yielding nontrivial 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) Quasihyperbolic 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), 16571670.

(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 nonelementarily 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), 36593758.

(with Jason Behrstock and Mark Hagen) Asymptotic dimension and smallcancellation for hierarchically hyperbolic spaces and groups
Proceedings of the LMS 114 (2017), 890926.

(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), 17311804.

(with Jason Behrstock, Mark Hagen and (appendix only) PierreEmmanuel 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), 17311804.

(with Yago Antolin and Ashot Minasyan) Commensurating endomorphisms of acylindrically hyperbolic groups and applications
Groups, Geometry, and Dynamics 10 (2016), 11491210.

(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, 255264.

(with Roberto Frigerio and Beatrice Pozzetti) Extending higher dimensional quasicocycles
[Talk] [Talk: Overview of bounded cohomology of acylindrically hyperbolic groups]
Journal of Topology 8 (2015), 11231155.

Contracting elements and random walks [Blog post]
Crelle's Journal 742 (2018), 79114

(with Roberto Frigerio and JeanFrançois 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), 128.

Quasiconvexity of hyperbolically embedded subgroups
Mathematische Zeitschrift 283 (2016), 649658.

(with Isaac Goldbring) The fundamental group of a locally finite graph with ends: a hyperfinite approach
Fundamenta Mathematicae 232 (2016), 2139.

(with John MacKay) Embedding relatively hyperbolic groups in products of trees
Algebraic & Geometric Topology 13 (2013), 22612282.

(with Eduardo MartínezPedroza) Virtual amalgamation of relatively quasiconvex subgroups
Algebraic & Geometric Topology 12 (2012), 19932002.
[pdf]

Projections and relative hyperbolicity [Blog post]
L'Enseignement Mathématique 59 (2013), 165181.

(with David Hume) Embedding universal covers of graph manifolds in products of trees [Blog post]
Proceedings of the AMS 141 (2013), 33373340.

Treegraded asymptotic cones
Groups, Geometry, and Dynamics 7 (2013), 697735.

Separable and treelike asymptotic cones of groups
Münster Journal of Mathematics 5 (2012), 233248.

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

(with Roberto Frigerio) Characterizing hyperbolic spaces and real trees
Geometriae Dedicata 142 (2009), 139149.
[arXiv]
Preprints/submitted papers

(with Antoine Goldsborough, Mark Hagen, and Harry Petyt, with an appendix by Jacob Russell) Induced quasiisometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity

(with Mark Hagen and Giorgio Mangioni) A combinatorial structure for many hierarchically hyperbolic spaces

(with Peter Feller and Gabriele Viaggi) Hyperbolic Heegaard splittings and Dehn twists

(with Elia Fioravanti, Annette Karrer, and Stefanie Zbinden) On the Čech cohomology of Morse boundaries

(with Antoine Goldsborough) Random divergence of groups

(with Giorgio Mangioni) Rigidity of mapping class groups mod powers of twists

(with Uri Bader) Characterising acylindrical hyperbolicity via permutation actions

(with Uri Bader, PierreEmmanuel Caprace, and Alex Furman) Hyperbolic actions of higherrank lattices come from rankone factors

The word problem for free groups cannot be solved in linear time*

(with Peter Feller and Gabriele Viaggi) Uniform models and short curves for random 3manifolds

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

On metric relative hyperbolicity

3manifold groups have unique asymptotic cones [Blog post]

(with Lars Scheele) Iterated asymptotic cones