Alessandro Sisto

Alessandro Sisto

I am an Assistant Professor at Heriot-Watt University.

My main research area is geometric group theory, and
I'm especially interested in generalisations of hyperbolic groups.
Here is my CV (updated: August 2020).

You may wish to take a look at my blog.

E-mail: a.sisto at hw.ac.uk

Here are some incomplete lecture notes on Geometric Group Theory. Please let me know if you have comments, corrections, complaints....
Still missing:
1) chapter on free subgroups of hyperbolic groups
2) references

You can find all my papers and prerints here.

Papers and prerints since 2017

(with Abdul Zalloum) Morse subsets of injective spaces are strongly contracting

(with Uri Bader) Characterising acylindrical hyperbolicity via permutation actions

(with Mark Hagen, Jacob Russell, and Davide Spriano) Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms

(with Mark Hagen) Some examples of separable convex-cocompact subgroups

(with Uri Bader, Pierre-Emmanuel Caprace, and Alex Furman) Hyperbolic actions of higher-rank lattices come from rank-one factors

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

(with Antoine Goldsborough) Markov chains on hyperbolic-like groups and quasi-isometries

(with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
Accepted in Commentarii Mathematici Helvetici

(with Mark Hagen and Alexandre Martin) Extra-large type Artin groups are hierarchically hyperbolic

(with John MacKay) Maps between relatively hyperbolic spaces and between their boundaries

(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 Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups I: A hyperbolic action

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

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

(with Roberto Frigerio) Central extensions and bounded cohomology

(with Ruth Charney and Matt Cordes) Complete topological descriptions of certain Morse boundaries
Accepted in Groups, Geometry, and Dynamics

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

(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.

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

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

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

(with Joseph Maher) Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings
Int. Math. Res. Not. IMRN 2019, no. 13, 3941–3980.