Antoine Maillard

Research faculty
Inria Paris

Office B120
48 Rue Barrault
75013 Paris

I am a research faculty (“Chargé de Recherches”) at Inria Paris and DI ENS, hosted in the ARGO team.

My research interests include high-dimensional statistics, probability theory, statistical physics, machine learning, and random matrix theory. You can find concrete examples of some of my recent works in the publications section.

From 2021-2024 I was a Hermann-Weyl Instructor at the FIM (Institute for Mathematical Research) and the department of mathematics at ETH Zürich, mentored by Afonso S. Bandeira. We started there a group blog, with an emphasis on open problems, don’t hesitate to have a look! I defended my PhD in Theoretical Physics in 2021 in Ecole Normale Supérieure de Paris, under the supervision of Florent Krzakala, and the additional guidance of Lenka Zdeborová. I am very glad to have received the 2021 Daniel Guinier Prize of the French Physical Society for it! You can find my PhD thesis here.

I’m always happy to hear from motivated prospective students. If you’re curious about potential opportunities, feel free to look at my recent papers and teaching notes, and to get in touch.
(As of 2026 I apologize if I am unable to reply to all inquiries due to the large number of emails I receive.)

For students currently following one of my courses, please have look at the teaching section.

(Some) recent news

Sep 29, 2026	I am very happy to announce that the PSL Week on Statistical Physics and Machine Learning, which I co-organize with Bruno Loureiro, is back this year, from November 23rd to November 27th! It is listed as C1ENS – 06 in the list of PSL Weeks, and students can register from October 5th to October 16th. Don’t hesitate to join us, we are looking forward to seeing you there!
Sep 29, 2026	Very happy to share that two of our recent papers were accepted at NeurIPS 2026! Factual recall in linear associative memories: sharp asymptotics and mechanistic insights, a joint work with Alessio Giorlandino and Sebastian Goldt (SISSA). Optimal scaling laws in learning hierarchical multi-index models, a joint work with Leonardo Defilippis (ENS), Florent Krzakala (EPFL), and Bruno Loureiro (ENS).
Sep 23, 2026	A new preprint out: Efficient computation of the asymptotics of extensive-rank HCIZ integrals. We introduce an efficient numerical scheme (based on a particle discretization) to solve the boundary-value problem shown by Matytsin (1994) to be the limit of extensive-rank HCIZ integrals. We prove its convergence, and use it to compute these asymptotics for generic densities for the first time. This is a joint work with Jean-Christophe Mourrat (ENS Lyon).
Jul 21, 2026	I recently gave a general-audience talk at Inria Paris entitled ``From freezing water to ChatGPT: the physics of algorithms’’. If you are interested, you can find the slides here (in French).