Low dimensional geometry and topology, Hyperbolic geometry, Teichmüller and moduli spaces, Random surfaces, Random 3-manifolds, subgroup growth.
18. | A model for random three-manifolds |
| with Jean Raimbault |
| Comment. Math. Helv., to appear |
| [arXiv version]
|
17. | Kissing numbers of regular graphs |
| with Maxime Fortier Bourque |
| Combinatorica, to appear |
| [arXiv version]
|
16. | Kissing numbers of closed hyperbolic manifolds |
| with Maxime Fortier Bourque |
| Amer. J. Math., 144 (4), 1067 - 1085 |
| [arXiv version] [Journal version]
|
15. | The diameter of random Belyi surfaces |
| with Thomas Budzinski and Nicolas Curien |
| Algebr. Geom. Topol., 21: 2929 - 2957, 2021. |
| [arXiv version] [Journal version]
|
14. | On the minimal diameter of closed hyperbolic surfaces |
| with Thomas Budzinski and Nicolas Curien |
| Duke Math. J., 170 (2): 365 - 377, 2021. |
| [arXiv version] [Journal version]
|
13. | On distinct finite covers of 3-manifolds |
| with Stefan Friedl, JungHwan Park, Jean Raimbault and Arunima Ray |
| Indiana Univ. Math. J., 70 (2): 809 - 846, 2021. |
| [arXiv version] [Journal version]
|
12. | Universality for random surfaces in unconstrained genus |
| with Thomas Budzinski and Nicolas Curien |
| Electron. J. Combin., 26 (4): Paper 4.2, 2019 |
| [arXiv version] [Journal version]
|
11. | Subgroup growth of right-angled Artin and Coxeter groups |
| with Hyungryul Baik and Jean Raimbault |
| J. Lond. Math. Soc. (2), 101 (2): 556 - 588, 2020. |
| [arXiv version] [Journal version]
|
10. | Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products |
| with Hyungryul Baik and Jean Raimbault |
| Combinatorica, 39 (4): 779 - 811, 2019. |
| [arXiv version] [Journal version]
|
9. | Lengths of closed geodesics on random surfaces of large genus |
| with Maryam Mirzakhani |
| Comment. Math. Helv., 94 (4): 869 - 889, 2019. |
| [arXiv version] [Journal version]
|
8. | Hyperbolic surfaces with long systoles that form a pants decomposition |
| Proc. Amer. Math. Soc., 146 (3): 1069 - 1081, 2018. |
| [arXiv version] [Journal version]
|
7. | Exponential Torsion Growth for Random 3-Manifolds |
| with Hyungryul Baik, David Bauer, Ilya Gekhtman, Ursula Hamenstädt, Sebastian Hensel, Thorben Kastenholz and Daniel Valenzuela |
| Int. Math. Res. Not. IMRN, 21: 6497 - 6534, 2018. |
| [arXiv version] [Journal version]
|
6. | Poisson approximation of the length spectrum of random surfaces |
| with Christoph Thäle |
| Indiana Univ. Math. J., 67 (3): 1115 - 1141, 2018. |
| [arXiv version] [Journal version]
|
5. | Mapping class group orbits of curves with self-intersections |
| with Patricia Cahn and Federica Fanoni |
| Israel J. Math., 223 (1): 53 - 74, 2018. |
| [arXiv version] [Journal version]
|
4. | Graphs of Large Girth and Surfaces of Large Systole |
| with Alexander Walker |
| Math. Res. Lett., 25 (6): 1937 - 1956. 2018. |
| [arXiv version] [Journal version]
|
3. | The genus of curve, pants and flip graphs |
| with Hugo Parlier |
| Discrete Comput. Geom., 59 (1): 1 - 30, 2018. |
| [arXiv version] [Journal version]
|
2. | Finite length spectra of random surfaces and their dependence on genus |
| J. Topol. Anal., 09 (4): 649 - 688, 2017. |
| [arXiv version] [Journal version]
|
1. | Random regular graphs and the systole of a random surface |
| J. Topol., 10 (1): 211 - 267, 2017. |
| [arXiv version] [Journal version]
|
Written under the supervision of Hugo Parlier, University of Fribourg, 2015.
Probability and Geometry in, on and of non-Euclidian spaces, Oct. 2 - 6, 2023
Geometry and spectra of random hyperbolic surfaces Jun. 12 - 16, 2023
Groups and Dynamics in Geometry, May 29 - Jun. 2, 2023
Combinatorics of finite-index subgroups, Nov. 2 - 4, 2022
Geometric Group Theory in Bonn III, Jan. 31 - Feb. 1, 2019
Geometric Group Theory in Bonn II, Dec. 3-4, 2015
For the lecture notes of the mini course "Extremal problems and probabilistic methods in hyperbolic geometry", click