Low dimensional geometry and topology, Hyperbolic geometry, Teichmüller and moduli spaces, Random surfaces, Random 3-manifolds, subgroup growth.
| 20. | Statistics of finite degree covers of torus knot complements |
| | with Elizabeth Baker |
| | Ann. H. Lebesgue, to appear |
| | [arXiv version]
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| 19. | The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian |
| | with Maxime Fortier Bourque |
| | J. Differential Geom., to appear |
| | [arXiv version]
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| 18. | A model for random three-manifolds |
| | with Jean Raimbault |
| | Comment. Math. Helv., 97 (4), 729 - 768, 2022. |
| | [arXiv version] [Journal version]
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| 17. | Kissing numbers of regular graphs |
| | with Maxime Fortier Bourque |
| | Combinatorica, 42 (4), 529 - 551, 2022. |
| | [arXiv version] [Journal version]
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| 16. | Kissing numbers of closed hyperbolic manifolds |
| | with Maxime Fortier Bourque |
| | Amer. J. Math., 144 (4), 1067 - 1085, 2022. |
| | [arXiv version] [Journal version]
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| 15. | The diameter of random Belyi surfaces |
| | with Thomas Budzinski and Nicolas Curien |
| | Algebr. Geom. Topol., 21: 2929 - 2957, 2021. |
| | [arXiv version] [Journal version]
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| 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]
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| 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]
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| 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]
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| 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]
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| 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]
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| 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]
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| 8. | Hyperbolic surfaces with long systoles that form a pants decomposition |
| | Proc. Amer. Math. Soc., 146 (3): 1069 - 1081, 2018. |
| | [arXiv version] [Journal version]
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| 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]
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| 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]
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| 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]
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| 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]
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| 3. | The genus of curve, pants and flip graphs |
| | with Hugo Parlier |
| | Discrete Comput. Geom., 59 (1): 1 - 30, 2018. |
| | [arXiv version] [Journal version]
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| 2. | Finite length spectra of random surfaces and their dependence on genus |
| | J. Topol. Anal., 09 (4): 649 - 688, 2017. |
| | [arXiv version] [Journal version]
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| 1. | Random regular graphs and the systole of a random surface |
| | J. Topol., 10 (1): 211 - 267, 2017. |
| | [arXiv version] [Journal version]
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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
