Antonin Chodron de Courcel

Research interests

My work concerns the modelling and mathematical analysis of effective models arising from oscillatory or unstable high-dimensional dynamics. In this broad area, my research focuses on the following problems:

• Optimization dynamics in machine learning.
• Conservation laws in biological systems.
• Mean-field models.

Publications

Preprints

• Wasserstein gradient flows for Coulomb discrepancies.
  With Matthew Rosenzweig. 2026. arXiv
• Gradient descent at the Edge of Stability: free energy model and kinetic description of the two-layer network.
  2026. arXiv
• Well-posedness of multidimensional nonlocal conservation laws with nonlinear mobility and bounded force.
  2025. arXiv
• On a repulsion model with Coulomb interaction and nonlinear mobility.
  With Charles Elbar. 2025. arXiv

Journal articles

• On clogged and fast diffusions in porous media with fractional pressure.
  SIAM Journal on Mathematical Analysis, 58 (2026), no. 2, 1367-1390. JournalarXiv
• The attractive log gas: stability, uniqueness, and propagation of chaos.
  With Matthew Rosenzweig and Sylvia Serfaty. Communications of the American Mathematical Society, 5 (2025), 695-773. JournalarXiv
• Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows.
  With Matthew Rosenzweig and Sylvia Serfaty. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 42 (2025), no. 2, 391-472. JournalarXiv

Thesis and proceedings

• A contribution to mean-field systems and porous media equations.
  PhD thesis, Université Paris-Saclay, defended on April 14, 2026. Supervised by Laure Saint-Raymond and Sylvia Serfaty. theses.frDOI
• La méthode d'énergie modulée et ses limites pour des systèmes de particules en interaction singulière.
  Séminaire Laurent Schwartz - EDP et applications, 2023-2024, Exposé no. 18, 9 p. Proceeding

Selected talks

• Collège de France. 2024. Recording available here.
• Séminaire Laurent Schwartz. 2024. Proceeding available here.

Teaching

• 2023-2025: Measure theory. Teaching assistant for the Bachelor program of Ecole Polytechnique.

Contact

Email:

Background

• 2023-2026: PhD in Mathematics, IHES, Université Paris-Saclay. Supervised by Laure Saint-Raymond and Sylvia Serfaty. Fully funded by the Jean-Pierre Aguilar Scholarship.
• 2022-2023: MASt in Mathematics (Part III of the Mathematical Tripos), University of Cambridge. Awarded the Jennings Prize.
• 2019-2022: Master of Science (Diplôme d'Ingénieur), Ecole Polytechnique.