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....
1) chapter on free subgroups of hyperbolic groups
You can find all my papers and prerints here.
Papers and prerints since 2017
(with John MacKay) Maps between relatively hyperbolic spaces and between their boundaries
(with Matt Durham and Yair Minsky) Stable cubulations, bicombings, and barycenters
(with Adrien Boulanger, Pierre Mathieu, and Cagri Sert) Large deviations for random walks on hyperbolic spaces
(with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups are hierarchically hyperbolic
(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
(with François Dahmani and Mark Hagen) Dehn filling Dehn twists
Accepted in Proceedings A of the Royal Society of Edinburgh
(with Dominik Gruber) Divergence and quasi-isometry classes of random Gromov's monsters
Accepted in Math. Proceedings of the Cambridge Philosophical Society
(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.
Accepted in L'Enseignement Mathématique
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 Dominik Gruber and Romain Tessera) Gromov's random monsters do not act non-elementarily on hyperbolic spaces
Accepted in Proceedings of the AMS
(with Jason Behrstock and Mark Hagen) Quasiflats in hierarchically hyperbolic spaces [Talk]
Accepted in Duke Mathematical Journal
(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 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
Accepted in Groups, Geometry, and Dynamics
(with Joseph Maher) Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings
Accepted in IMRN