pronouns: he/him/his

Associate Professor at

Burnside Hall, 805 Sherbrooke Street West, Montreal, QC, Canada H3A 0B9

- Arcs intersecting at most once
- Torsion groups do not act on 2-dimensional CAT(0) complexes
- Subgraphs of diameter 1 in graphs of girth 2
- Coxeter groups are biautomatic (minicourse): part 1, part 2, part 3

- A pair of Garside shadows, joint with
Yeeka Yau, accepted to
*Algebraic Combinatorics*(2024). - The moduli space of cactus flower curves and the virtual cactus group, joint with Aleksei Ilin, Joel Kamnitzer, Yu Li, and Leonid Rybnikov, submitted (2024).
- Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded, joint with
Anne Lonjou and Christian Urech, accepted to
*Journal de l'Ecole polytechnique - Mathematiques*(2024). - Weak Tits alternative for groups acting geometrically on buildings, joint with
Chris Karpinski and Damian Osajda,
*Journal of Algebra*656 (2024), special volume in memory of Jacques Tits, 259-275. - Coxeter groups are biautomatic, joint with Damian Osajda, submitted (2022).
- Tits Alternative for the 3-dimensional tame automorphism group , joint with Stephane Lamy, submitted (2022).
- Tits Alternative for 2-dimensional CAT(0) complexes, joint with
Damian Osajda,
*Forum of Mathematics, Pi*10 (2022), e25. - Unicorn paths and hyperfiniteness for the mapping class group, joint with
Marcin Sabok,
*Forum of Mathematics, Sigma*Vol.9:e36 (2021) 1-10. - 2-dimensional Coxeter groups are biautomatic, joint with
Zachary Munro and Damian Osajda,
*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*152 no.2 (2022), 382-401. - Dihedral twists in the Twist Conjecture,
*Mathematische Zeitschrift*299 (2021), 1741-1765. - Tits alternative for Artin groups of type FC, joint with
Alexandre Martin,
*Journal of Group Theory*23, no.4 (2020), 563-573. - Abelian subgroups of two-dimensional Artin groups, joint with
Alexandre Martin,
*Bulletin of the LMS*53, no.5 (2021), 1338-1350. - Acylindrical actions for two-dimensional Artin groups of hyperbolic type, joint with
Alexandre Martin,
*International Mathematics Research Notices*17 (2022), 13099-13127. - Tits Alternative for groups acting properly on 2-dimensional recurrent complexes, joint with
Damian Osajda , with an appendix written jointly with Jon McCammond,
*Advances in Mathematics*391 (2021), paper no. 107976. - Torsion groups do not act on 2-dimensional CAT(0) complexes, joint with
Sergey Norin and Damian Osajda ,
*Duke Mathematical Journal*171, no.6 (2022), 1379-1415. - Presqu'un immeuble pour le groupe des automorphismes moderes,
joint with Stephane Lamy,
*Annales Henri Lebesgue*4 (2021), 605-651. - A step towards Twist Conjecture, joint with Jingyin Huang,
*Documenta Mathematica*23 (2018), 2081-2100. - Mixed 3-manifolds are virtually special,
joint with Daniel T. Wise,
*Journal of the AMS*31 (2018) 318-347. - Acylindrical hyperbolicity of the three-dimensional tame automorphism group,
joint with Stephane Lamy,
*Annales Scientifiques de l'ENS*(4) 52, no.2 (2019), 367-392. - Arcs on spheres intersecting at most twice, joint with Christopher Smith,
*Indiana Univ Math J*68, no.1 (2019), 157-178. - Dismantlable classifying space for the family of parabolic subgroups of a relatively hyperbolic group,
joint with Eduardo Martinez-Pedroza,
*J Inst Math Jussieu*18, no.2 (2019), 329-345. - Cocompactly cubulated 2-dimensional Artin groups, joint with
Jingyin Huang and Kasia Jankiewicz,
*Commentarii Mathematici Helvetici*91 no.3 (2016), 519-542. - A note on acylindrical hyperbolicity of Mapping Class Groups, joint with
Alessandro Sisto,
*Advanced Studies in Pure Mathematics 73, Hyperbolic Geometry and Geometric Group Theory*(2017), 255-264. - Balanced walls for random groups,
joint with John Mackay,
*Mich Math J*64 (2015), 396-419. - Arcs intersecting at most once,
*GAFA*25 (2015), 658-670. - Systolizing buildings,
joint with Petra Schwer,
*Groups, Geometry, and Dynamics*10 no.1 (2016) 241-277. - Cocompactly cubulated graph manifolds,
joint with Mark Hagen,
*Israel Journal of Mathematics*207 no.1 (2015), 377-394. Erratum (2016). - 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs,
joint with Sebastian Hensel
and Richard C.H. Webb,
*Journal of the EMS*17 no.4 (2015), 755-762. - Separability of embedded surfaces in 3-manifolds,
joint with Daniel T. Wise,
*Compositio Mathematica*150 (2014), 1623-1630. - Realisation and dismantlability,
joint with Sebastian Hensel
and Damian Osajda ,
*Geometry & Topology*18 (2014), 2079-2126. - Graph manifolds with boundary are virtually special, joint
with Daniel T. Wise,
*Journal of Topology*7 no.2 (2014), 419-435. - Square complexes and simplicial nonpositive curvature,
joint with Tomasz Elsner,
*Proceedings of the AMS*141 (2013), 2997-3004. - Contractibility of the Kakimizu complex and symmetric Seifert surfaces,
joint with Jennifer Schultens,
*Transactions of the AMS*364 no.3 (2012), 1489-1508. - Bipolar Coxeter groups, joint with
Pierre-Emmanuel Caprace,
*Journal of Algebra*338 no.1 (2011), 35-55. - Twist-rigid Coxeter groups, joint with
Pierre-Emmanuel Caprace,
*Geometry & Topology*14 (2010) 2243-2275. - The ending lamination space of the five-punctured sphere is
the Noebeling curve joint with
Sebastian Hensel,
*Journal of the LMS*84 no.1 (2011), 103-119. - Acute triangulations of polyhedra and R^n,
joint with
Eryk Kopczynski and
Igor Pak,
*Combinatorica*32 no.1 (2012) 85-110, extended abstract in*Proceedings of the 2010 annual symposium on computational geometry*. - Veech groups of Loch Ness monsters, joint with
Gabriela Schmithuesen and
Ferran Valdez,
*Annales de l'Institut Fourier*61 no.2 (2011), 673-687. - Random groups do not split, joint with
Francois Dahmani and
Vincent Guirardel,
*Mathematische Annalen*349 no.3 (2011), 657-673. - Boundaries of systolic groups,
joint with Damian Osajda,
*Geometry & Topology*13 (2009), 2807-2880. - EG for systolic groups,
*Commentarii Mathematici Helvetici*84 no.1 (2009), 159-169. - Flag-no-square triangulations and Gromov boundaries in dimension 3,
joint with Jacek Swiatkowski,
*Groups, Geometry, and Dynamics*3 (2009), 453-468. -
The fixed point theorem for simplicial nonpositive curvature,
*Mathematical Proceedings of Cambridge Philosophical Society*144 (2008), 683-695. - Gaussian thermostats as geodesic flows
of nonsymmetric linear connections,
joint with Maciej P. Wojtkowski,
*Communications in Mathematical Physics*277 no.3 (2008), 759-769. - Systolic groups with no flats are hyperbolic,
*Fundamenta Mathematicae*193 (2007), 277-283.

- Translation of sections IV-VI of Francis Bonahon's Boutes des varietes hyperboliques, joint with Ingrid Irmer and Samuel Tapie (2008).
- PhD thesis (2008).
- Krzywizna pseudosfery,
*Delta*6 (2006). - Powierzchnie: zajecia praktyczno-techniczne,
*Delta*10 (2008).