I've left academia for other endeavours but would still enjoy chatting about math-related matters on mickael.lastname at gmail dot com

I've previously worked at Oxford's Department of Statistics in the research group of Prof. Christina Goldschmidt. Before that I was a PhD student in ENS Lyon, under the supervision of Grégory Miermont.

Research

Thesis

My PhD thesis called Permutons limites universels de permutations aléatoires à motifs exclus.

Papers

• [7] A new proof of Cayley's formula.
  With Louigi Addario-Berry, Serte Donderwinkel and James Martin. Preprint (2021) arXiV.
• [6] Linear-sized independent sets in random cographs and increasing subsequences in separable permutations.
  With Frédérique Bassino, Mathilde Bouvel, Michael Drmota, Valentin Féray, Lucas Gerin and Adeline Pierrot. Preprint (2021) arXiV
• [5] Scaling and local limits of Baxter permutations through coalescent-walk processes.
  With Jacopo Borga. Preprint (2020) arXiV.
  Presented at AofA 2020, extended abstract in LIPIcs, 159 7:1–7:18. (2020) arXiv - Journal.
• [4] Random cographs: Brownian graphon limit and asymptotic degree distribution.
  With Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin and Adeline Pierrot.
  To appear in Random Structures and Algorithms (2021). arXiv Journal.
• [3] Scaling limits of permutation classes with a finite specification: a dichotomy.
  With Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin and Adeline Pierrot.
  Preprint (2019) arXiv - companion Sage notebooks.
• [2] On the Brownian separable permuton.
  Combinatorics, Probability and Computing 29(2), 241-266 (2020) Journal - PDF - arXiv - HAL.
• [1] Universal limits of substitution-closed permutation classes.
  With Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin and Adeline Pierrot.
  Journal of the European Mathematical Society 22(11) 3565–3639 (2020) Journal - arXiv - HAL.

Software

• Specifier: a Sage module to compute the specification of a permutation class with a finite number of simples using the substitution decomposition, and produce a Boltzmann sampler of the class. It is an implementation of the algorithm of Bassino et. al. (2017)

Talks

• A talk on Lévy Trees, after Duquesne and Le Gall, with fluctuation theory and the Wiener-Hopf decomposition in mind, and a talk on the Lévy-Ito decomposition, given at this reading group in Oxford
• Scaling limits of Baxter permutations and bipolar oriented maps. [Banff "Permutations and Probability" workshop - september 2020]
• Scaling limits of finitely specified permutation classes. [Oxford probability seminar - february 2020 | Lyon probability seminar - november 2019]
• Scaling limits of pattern-avoiding permutations. [Grenoble probability seminar - october 2019 | Journées MAS - Dijon - august 2018 | LAGA probability seminar - may 2018 | ALEA days 2018 - march 2018 | Saclay combinatorics seminar - september 2017 | Saint-Flour summer school - july 2017 ]

Teaching in Lyon

• Spring 2019—2020: L3 Integration and Probability. Exercise sessions (with Loïc de Raphélis and Matthieu Joseph) for the course of Adrien Kassel at ENS Lyon. Course page (in French).
• Spring 2018—2020: M1 Brownian motion and stochastic processes. Exercise sessions for the course of Emmanuel Jacob, then Hélène Leman, at ENS Lyon. Course page (with previous years archive including solutions).
• Fall 2017: L3 Topology and differential calculus. Exercise sessions (with Abdoul-Karim Sane) for the course of Claude Danthony at ENS Lyon. Archives (in French, with some solutions).
• Spring 2017: M1 Random graphs. Exercise sessions for the course of Erich Baur at ENS Lyon. Archives (in French, with almost complete solution).