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
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The word problem for free groups cannot be solved in linear time*
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(with Antoine Goldsborough) Markov chains on hyperbolic-like groups and quasi-isometries
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(with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups II: Hierarchical hyperbolicity and
quasi-isometric rigidity
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(with Mark Hagen and Alexandre Martin) Extra-large type Artin groups are hierarchically hyperbolic
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(with John MacKay) Maps between relatively hyperbolic spaces and between their boundaries
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(with Matt Durham and Yair Minsky) Stable cubulations, bicombings, and barycenters
Accepted in Geometry & Topology
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(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
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(with Spencer Dowdall, Chris Leininger, and Matt Durham ) Extensions of Veech groups I: A hyperbolic action
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(with Peter Feller and Gabriele Viaggi) Uniform models and short curves for random 3-manifolds
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(with Jason Behrstock, Mark Hagen, and Alexandre Martin) A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups
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(with Roberto Frigerio) Central extensions and bounded cohomology
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(with Ruth Charney and Matt Cordes) Complete topological descriptions of certain Morse boundaries
Accepted in Groups, Geometry, and Dynamics
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(with François Dahmani and Mark Hagen) Dehn filling Dehn twists
Accepted in Proceedings A of the Royal Society of Edinburgh
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(with Dominik Gruber) Divergence and quasi-isometry classes of random Gromov's monsters
Accepted in Math. Proceedings of the Cambridge Philosophical Society
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(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
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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
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(with Dominik Gruber and Romain Tessera) Gromov's random monsters do not act non-elementarily on hyperbolic spaces
Accepted in Proceedings of the AMS
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(with Jason Behrstock and Mark Hagen) Quasiflats in hierarchically hyperbolic spaces [Talk]
Accepted in Duke Mathematical Journal
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(with Federico Franceschini, Roberto Frigerio and Beatrice Pozzetti) The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
Accepted in Commentarii Mathematici Helvetici
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(with David Hume) Groups with no coarse embeddings into hyperbolic groups
NYJM 23 (2017), 1657-1670.
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(with Tobias Hartnick) Bounded cohomology and virtually free hyperbolically embedded subgroups
Accepted in Groups, Geometry, and Dynamics
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(with Joseph Maher) Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings
Accepted in IMRN