Bram Petri

About me:
I am a maître de conférences in the Complex Analysis and Geometry group of the IMJ-PRG at Sorbonne Université.

Before that, I was in Bonn. First as a post-doctoral fellow at the Max Planck Institute for Mathematics and later as a post-doc in the Geometry group at the University of Bonn, where my mentor was Ursula Hamenstädt.

I did my doctoral studies under the supervision of Hugo Parlier at the Department of Mathematics at the University of Fribourg.

My CV and Publication list.

Address:
Institut de Mathématiques de Jussieu-Paris Rive Gauche
Sorbonne Université - Campus Pierre et Marie Curie
4, place Jussieu - Boite Courrier 247
75252 Paris Cedex 05
France

Office: 16-26 526
E-mail: bram dot petri at imj-prg dot fr

Research

Research interests

Low dimensional geometry and topology, Hyperbolic geometry, Teichmüller and moduli spaces, Random surfaces, Random 3-manifolds, subgroup growth.

Preprints

5.	Linear programming bounds for hyperbolic surfaces
	with Maxime Fortier Bourque
	Preprint.
	[arXiv version]
4.	On Cheeger constants of hyperbolic surfaces
	with Thomas Budzinski and Nicolas Curien
	Preprint.
	[arXiv version]
3.	The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian
	with Maxime Fortier Bourque
	Preprint.
	[arXiv version]
2.	Statistics of finite degree covers of torus knot complements
	with Elizabeth Baker
	Preprint.
	[arXiv version]
1.	Counting non-commensurable hyperbolic manifolds and a bound on homological torsion
	Preprint.
	[arXiv version]

Accepted articles

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]

Students

Current:
Anna Roig-Sanchis, PhD thesis, Sorbonne University, 2021 - current

Former:
Mingkun Liu, PhD thesis, Paris Cité University, 2019 - 2022
Co-supervised with Vincent Delecroix and Anton Zorich

Sofia Amontova, MSc thesis, 2019, University of Bonn

Elizabeth Baker, MSc thesis, 2019, University of Bonn

Muhammad Ardiyansyah, MSc thesis, 2018, University of Bonn

PhD Thesis

On Random Surfaces
Written under the supervision of Hugo Parlier, University of Fribourg, 2015.

Conference organization

Probability and Geometry in, on and of non-Euclidian spaces, Oct. 2 - 6, 2023
Click here for more infomation

Geometry and spectra of random hyperbolic surfaces Jun. 12 - 16, 2023
ISM Discovery School
Click here for more infomation

Groups and Dynamics in Geometry, May 29 - Jun. 2, 2023
Click here for more infomation

Combinatorics of finite-index subgroups, Nov. 2 - 4, 2022
Click here for more infomation

Geometric Group Theory in Bonn III, Jan. 31 - Feb. 1, 2019
Click here for more infomation

Geometric Group Theory in Bonn II, Dec. 3-4, 2015
Click here for more infomation

Mini course

For the lecture notes of the mini course "Extremal problems and probabilistic methods in hyperbolic geometry", click here.

Teaching

Current

2022 - 2023 / Autumn:
Differential Geometry

2022 - 2023 / Autumn:
Renforcement Mathématiques
Course page

Past

2021 - 2022 / Spring:
Introduction to probability theory
Course page

2021 - 2022 / Autumn:
Topology and differential calculus
Course page

2021 - 2022 / Autumn:
Renforcement Mathématiques
Course page

2020 - 2021 / Spring:
Introduction to probability theory
Course page
Remote teaching

2020 - 2021 / Autumn:
Topology and differential calculus
Course page
Remote teaching

2019 - 2020 / Spring:
Introduction to probability theory
Course page
Remote teaching

2019 - 2020 / Autumn:
Linear and bilinear algebra
Course page

2018 - 2019 / Summer:
Teichmüller Theory
Course code: V5D3 - Advanced Topics in Geometry

2018 - 2019 / Winter:
Random walks on linear groups
Course code: S4D3 - Graduate Seminar on Advanced Geometry

Simplicial volume
Course code: V5D6 - Selected Topics in Differential Geometry

2017 - 2018 / Summer:
Arithmetic groups
Course code: V5D3 - Advanced Topics in Geometry

2017 - 2018 / Winter:
Property (T)
Course code: S4D3 - Graduate Seminar on Advanced Geometry

Quantum ergodicity
Course code: S4D1 - Graduate Seminar on Differential geometry

Advanced Geometry I V4D2
Exercises week 8

2016 - 2017 / Summer:
Random methods in geometry
Course code: V5D4 - Selected Topics in Geometry

2013 - 2014 / Spring:
Assistant for Analysis IV

2013 - 2014 / Autumn:
Assistant for Analysis III

2012 - 2013 / Spring:
Assistant for Mathematical Methods in Computer Science

2012 - 2013 / Autumn:
Assistant for Mathematical Methods in Computer Science

2011 - 2012 / Spring:
Assistant for Mathematical Methods in Computer Science