I am an Assistant Professor at ETH.
My main research area is geometric group theory, and
I'm especially interested in generalisations of hyperbolic groups.
Here is my CV (last update: April 2017).
You may wish to take a look at my blog.
E-mail: my-last-name (at) math.ethz.ch
Where to find me:
HG J 43
I'm writing lecture notes on Geometric Group Theory. Please let me know if you have comments, corrections, complaints....
Last update: July 3 2014.
1) chapter on free subgroups of hyperbolic groups
(with Matthew G. Durham and Mark Hagen) Boundaries and automorphisms of hierarchically hyperbolic spaces
Accepted in Geometry & Topology
(with Jason Behrstock and Mark Hagen) Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
Accepted in Proceedings of the LMS
(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]
Accepted in Geometry & Topology
(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...
Accepted in Algebraic & Geometric Topology
(with Yago Antolin and Ashot Minasyan) Commensurating endomorphisms of acylindrically hyperbolic groups and applications
Accepted in Groups, Geometry, and dynamics
(with Piotr Przytycki) A note on acylindrical hyperbolicity of Mapping Class Groups
Accepted in Proceedings of the 7th MSJ-SI, Hyperbolic Geometry and Geometric Group Theory
(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]
Accepted in Crelle's Journal
(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]
Accepted in Israel Journal of Mathematics
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.
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 [or, my brush with ultrafilter combinatorics]
Electronic Journal of Combinatorics 18(1) (2011).
(with Roberto Frigerio) Characterizing hyperbolic spaces and real trees
Geometriae Dedicata 142 (2009), 139-149.