Personal Webpage of Quentin FRANCOIS

In September 2026, I will start as a permanent researcher (maître de conférences) at Institut de mathématiques de Toulouse.

Previously, I was a postdoctoral researcher under the supervision of Raphaël Butez and Rémi Bardenet at Laboratoire Paul Painlevé and CRIStAL.

I completed my PhD at Paris-Dauphine PSL under the supervision of Djalil Chafaï and Pierre Tarrago. You can find the manuscript here.

Research Interests: Random Matrices, Free Probability, Integrable Probability and Algebraic Combinatorics.

Contact: quentin.francois@univ-lille.fr

Publications

A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces: with David García-Zelada, Thierry Lévy, and Pierre Tarrago, arXiv (2026).

Enumeration of crossings in two-step puzzles arXiv (2024).

Positive formula for the product of conjugacy classes on the unitary group: with Pierre Tarrago, arXiv (2024).

Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble: with David García-Zelada, Electronic Journal of Probability DOI (2026).
Characteristic polynomial of generalized Ewens random permutations: Electronic Communications in Probability DOI (2025).
Power grid segmentation for local topological controllers: with Noureddine Henka, Sami Tazi, Manuel Ruiz, and Patrick Panciatici, Electric Power Systems Research DOI (2022).

Characteristic Polynomials
July 14, 2026, Mittag–Leffler Institute, Stockholm, Sweden
[SigMA Day]
July 3, 2026, Château de la Fontaine, Villeneuve d’Ascq, France
Working group : Point processes and applications
January 27, 2026, Laboratoire Paul-Painlevé, Lille, France
Weekly Seminar “SuPerGRandMa”
January 19, 2026, Laboratoire de Mathématiques d’Orsay, Orsay, France
Probability Seminar
January 13, 2026, Institut Mathématiques de Marseille, Marseille, France

Mathematical statistics seminar
November 18, 2025, KTH, Stockholm, Sweden
Probability Seminar
September 30, 2025, Institut de Mathématiques de Toulouse, Toulouse, France
Journées de Probabilités 2025
June 30, 2025, Institut Mathématiques de Marseille, Marseille, France
Working Group: Point Processes and Applications
Febuary 7, 2025, Laboratoire Paul-Painlevé, Lille, France

Young Researcher Seminar
December 19, 2024, Université Paris-Dauphine, Paris, France
Probability and Statistics seminar
November 22, 2024, Laboratoire de Mathématiques de Versailles, Versailles, France
Les Probas du Vendredi
October 4, 2024, Sorbonne Université, Paris, France
Fifth meeting of ANR CORTIPOM
October 1, 2024, Institut Denis Poisson, Tours, France
Young Researcher Days
June 12, 2024, Calvados, France
Seminar Series of the Long Program: Geometry, Statistical Mechanics and Integrability
May 16, 2024, Institute for Pure and Applied Mathematics UCLA, Los Angeles, USA
MEGA Seminar
January 12, 2024, IHP Paris, France

Young Researcher Seminar
December 14, 2023, Université Paris-Dauphine, Paris, France
Combinatoire Elliptique et au delà
November 16, 2023, Institut d’Études Scientifiques de Cargèse, Corse, France.
Probability and Statistics Seminar
November 7, 2023, Institut de Mathématiques de Marseille, Marseille, France.
Colloquium for PhD students, October 25, 2023, École Normale Supérieure, Paris, France.
Image, Optimization and Probability Seminar
September 21, 2023, Institut Mathématique de Bordeaux, Bordeaux, France.
Young Researcher Days
June 1, 2023, Université Paris-Dauphine, Paris, France.
Young Researcher Seminar
March 3, 2023, Université Paris-Dauphine, Paris, France.

Master Thesis supervision: Limit Theorems for large random matrices, Université Paris-Dauphine.
Introduction aux Probabilités (Bachelor course, Université Paris-Dauphine). Teaching Assistant.

Probabilités I (Bachelor course, Université Paris-Dauphine). Teaching Assistant.
Processus Discrets (Master course, Université Paris-Dauphine) Teaching Assistant.

Probabilités I (Bachelor course, Université Paris-Dauphine). Teaching Assistant.
Processus Discrets (Master course, Université Paris-Dauphine). Teaching Assistant.