ICM 2026: A Major Event Celebrating Mathematical Research

As a premier gathering for mathematical research, the ICM embodies fundamental values: openness, solidarity, and a shared intellectual vision. At a time when political tensions threaten to fragment the international scientific community, this congress stands as a symbol of resilience, reminding us that mathematics transcends borders and divides. A unique opportunity to reaffirm, through presence and dialogue, the unity and ideals that drive this universal discipline.

Delivering a lecture at the ICM is a prestigious honor for researchers in mathematics. Discover now the speakers from the French community who will be participating.

Section Lectures

• Section 16 - Control Theory & Optimiza

Karine Beauchard is a French mathematician known for her research in control theory and the analysis of partial differential equations. She is a professor at the École normale supérieure de Rennes and served as a Peccot Lecturer at the Collège de France in 2007–2008. She has achieved significant results in quantum control, the control of hypoelliptic equations, and the interactions between geometry (Lie brackets) and functional analysis (interpolation inequalities) in the control of differential equations. She has coordinated several research projects.

• Section 1 - Logic

Itaï Ben Yaacov earned his Ph.D. from the University of Paris 7 in 2002, following a bachelor’s degree from the Hebrew University of Jerusalem in 1998. Previously, he taught as an assistant professor at the University of Wisconsin-Madison (2004–2006) and as a Moore Instructor at MIT (2003–2004). He has been a professor at Claude Bernard University Lyon 1 since 2006.

• Section 9 - Dynamics

Pierre Berger began his career as a researcher at the CNRS at LAGA (Sorbonne Paris Nord) and IMPA (UMI CNRS), before becoming a research director at the CNRS at IMJ-PRG (Sorbonne University and Université Paris Cité) in 2019. His research focuses on differentiable, holomorphic, and symplectic dynamics. One aspect of his work concerns the proof of the existence of attractors for surface dynamics.

• Section 8 - Analysis

Charles Bordenave has been a research director at the CNRS at the Marseille Institute of Mathematics1  since 2019. A specialist in probability and random graphs, he earned his Ph.D. at the ENS under the supervision of François Baccelli. Winner of the Marc Yor Prize (2017), he was a medalist lecturer at the Institute of Mathematical Statistics (2019). Author of more than 55 publications, he has taught at prestigious universities (Kyoto, Berkeley, Roma Tre) and organized numerous international seminars.

• Section 9 - Dynamics

Bertrand Deroin is a research director at the CNRS. His work focuses on geometry and dynamics in low dimensions. A graduate of the École Normale Supérieure de Lyon, he joined the CNRS as a research fellow in the mathematics department at Orsay and later at the École Normale Supérieure de Paris. He served as director of the AGM Laboratory from 2022 to 2025. Bertrand Deroin received the Research Award in 2015.

• Section 10 - PDE

Frédéric Faure is an associate professor of mathematics at the University of Grenoble Alpes and a member of the Institut Fourier. After defending his dissertation in theoretical physics in 1993, he obtained his habilitation in 2006. His research focuses on chaotic dynamical systems, microlocal analysis, and the Ruelle spectrum, with connections between classical dynamics, waves, and quantum phenomena.

• Section 7 - Lie Theory

David Hernandez received his Ph.D. from the École Normale Supérieure (ENS) in Paris in 2004. A researcher at the CNRS, he became a professor at Université Paris Cité in 2010 after obtaining his habilitation in 2009. A member of the Institut Universitaire de France, he has taught at the École Polytechnique and served as a visiting researcher at UC Berkeley. Among his honors are the Jacques Herbrand Prize (Académie des sciences), an ERC Consolidator Grant, and a France-Berkeley Fund grant. His research focuses on representation theory and Lie algebras.

• Section 17 - Statistics, ML

Laurent Massoulie, a researcher at Inria and scientific director of the Inria Paris center, is also a professor at the Center for Applied Mathematics at École Polytechnique. A specialist in probabilistic models for networks and decentralized learning, he has worked at France Télécom, Microsoft Research, and Technicolor. Among his honors are the Grand Prix Del Duca (2017), the ACM Sigmetrics Achievement Award (2023), and several best paper awards (INFOCOM, SIGMETRICS, NeurIPS).

• Section 12 - Probability

Jean-Christophe Mourrat, a research director at the CNRS at ENS Lyon, earned his Ph.D. in 2010 (Aix-Marseille University and Pontificia Universidad Católica de Chile). After a postdoc at EPFL, he joined the CNRS in 2013 and taught at NYU (2019–2021). His work in probability and stochastic partial differential equations earned him the Rollo Davidson Prize, the Marc Yor Prize, and a plenary lecture at ICMP 2018.

• Section n°17 - Statistics, Machine Lrn

Judith Rousseau, professeure de statistiques à l’Université Paris Dauphine-PSL et affiliée à Oxford, travaille sur les méthodes bayésiennes, leurs propriétés fréquentistes et leurs liens avec l’apprentissage automatique. Elle a reçu le prix Ethel Newbold (2015), une ERC Advanced Grant (2019) et donnera le Cam Lecture en 2025. Fellow de l’IMS et de l’ISBA, elle a aussi été éditrice associée pour The Annals of Statistics et Bernoulli.

• Section 8 - Analysis

Hong Wang, a specialist in harmonic analysis, proved Kakeya’s conjecture in three dimensions. After earning a bachelor’s degree in Beijing (2011), a master’s degree at Paris-Saclay (2014), and a Ph.D. at MIT (2019), she joined the IAS, UCLA, and then NYU. A professor at IHES since 2025, she has received, among other honors, the Maryam Mirzakhani New Frontiers Prize (2022), the Clay Research Award (2026), and the New Horizons Prize (2026).

Special Section Lectures

• Section 15 - Num. Analysis

Gabriel Peyré, a research director at the CNRS and a professor at the ENS Paris, works at the intersection of applied mathematics and machine learning, particularly in the field of optimal transport. He has received three ERC grants (2010, 2017, 2024), the Blaise Pascal Prize (2017), the CNRS Silver Medal (2021), and the Magenes Prize (2019). He directs the ENS Data Science Center and the ELLIS Paris unit.

• Section 8 - Analysis

Hatem Zaag, a research director at the CNRS (LAGA, Sorbonne Paris Nord), specializes in singularities of nonlinear partial differential equations. After studying at the ENS Paris and earning a Ph.D. at Cergy-Pontoise (1998), he joined the CNRS in 1997. He received the Annales de l’IHP Prize (2004) and the “Tunisien du Monde” Prize (2019). Active in mathematical biology and civil society, he also co-founded the musical ensemble Attarab.

Joint Section Lectures

• Section 10 - PDE

Scott Armstrong, a research director at the CNRS (Sorbonne University) and a professor at the Courant Institute (NYU), works on partial differential equations, probability, and mathematical physics, particularly quantitative homogenization. A 2009 Ph.D. graduate from Berkeley, he established a regularity theory for PDEs with random coefficients and studies anomalous diffusion. His work has made a significant impact on mathematical physics through arguments inspired by renormalization group theory. He will present his talk jointly with Tuomo Kuusi (University of Helsinki).

• Section 11 - Mathematical Physics

Rémi Rhodes, a professor at Aix-Marseille University and a researcher at I2M, specializes in probability theory and mathematical physics. After earning his Ph.D. in 2006 under the supervision of Étienne Pardoux, he taught at Dauphine and then at Gustave-Eiffel. A junior member of the IUF since 2019, he has renewed the theory of Gaussian multiplicative chaos with Vincent Vargas, contributing to the development of conformal field theories such as Liouville CFT. He will present his talk jointly with Vincent Vargas (University of Geneva).

• Section 2 - Algebra

Simon Riche, a specialist in geometric representation theory, studies reductive algebraic groups and their Lie algebras in positive characteristic. After attending the ENS Paris and earning a Ph.D. from Paris 6 in 2008, he became a CNRS researcher (2009–2017) and then a professor at the University of Clermont Auvergne. He received the CNRS Bronze Medal in 2016 and the Claude Berthault Prize in 2023. He will present his talk jointly with Pramod Achar (Louisiana State University).

Special Joint Section Lectures

• Section 3 - Number Theory

Frédéric Naud, a professor at IMJ-PRG (Sorbonne University), specializes in spectral theory as applied to dynamical systems, spectral geometry, and random matrices. After completing his Ph.D. in Bordeaux under the supervision of Vesselin Petkov, he taught in Avignon and served as a junior member of the IUF (2015–2020). His work, inspired by random matrix theory, also covers ergodic theory and Fourier analysis. He will present his talk alongside Laura Monk (University of Bristol).

• 1CNRS/AIX MARSEILLE UNIVERSITE