Personal Webpage of Quentin FRANCOIS

I am a PhD student in Probability theory under the supervision of Djalil Chafaï and Pierre Tarrago. I am mostly interested in high dimensional phenomenas arising from random matrix theory and exactly solvable models.

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

Contact: firstname.lastname@dauphine.psl.eu

Office(s):

• B223, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75016 Paris
• V3, École Normale Supérieure, 45 rue d’Ulm, 75005 Paris

Papers:

1. Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble.

   Q. François, and D. Garcìa-Zelada

   2023

   arXiv PDF
2. Positive formula for the product of conjugacy classes on the unitary group.

   Q. François, and P. Tarrago

   2024

   arXiv PDF
3. Enumeration of crossings in two-step puzzles.

   Q. François

   2024

   arXiv PDF
4. Characteristic polynomial of generalized Ewens random permutations.

   Q. François

   2025

   arXiv PDF

Research Talks:

• 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.

Conference Attendance:

2025

• Géométries aléatoires et applications, January 28-29, Collège de France, Paris, France.

2024

• Algebraic Aspects of Random Matricesi, October 7-11, CIRM, Luminy, France.

• Fifth meeting of ANR CORTIPOM, September 30 - October 2, Institut Denis Poisson, Tours, France.

• Young Researcher Days, June 10-12, Calvados, France.

• Long Program: Geometry, Statistical Mechanics and Integrability, March 11 - May 30, Institute for Pure and Applied Mathematics UCLA, Los Angeles, USA.

• Fourth meeting of ANR CORTIPOM, January 18-19, Sorbonne Université, Paris, France.

2023

• Combinatoire elliptique et au delà !, November 13-17, Institut d’Études Scientifiques de Cargèse, Corse, France.

• CORTIPOM project workshop, July 10-14, CIRM, Luminy, France.

• Third PIICQ Workshop, May 22-26, Angers, France.

Teaching and Supervision:

2024-2025

• Master Thesis supervision: Limit Theorems for large random matrices, Université Paris-Dauphine.

• Introduction aux Probabilités (Bachelor course, Université Paris-Dauphine). Teaching Assistant.

2023-2024

• Probabilités I (Bachelor course, Université Paris-Dauphine). Teaching Assistant.

• Processus Discrets (Master course, Université Paris-Dauphine) Teaching Assistant.

2022-2023

• Probabilités I (Bachelor course, Université Paris-Dauphine). Teaching Assistant.

• Processus Discrets (Master course, Université Paris-Dauphine). Teaching Assistant.