Personal Webpage of Quentin FRANCOIS

Institut de mathématiques de Toulouse

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

From 2025 to 2026, 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 from 2022 to 2025 under the supervision of Djalil Chafaï and Pierre Tarrago. You can find the manuscript here. I am humbled to have been selected by the SMAI as co-laureate of the 2025 Jacques Neveu PhD Award.

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

Contact: quentin.francois@univ-lille.fr


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Publications

Preprints

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).

Published papers

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).

Research Talks

2026

2025

2024

2023