Michel Talagrand

Michel Pierre Talagrand (; born 15 February 1952) is a French mathematician working in probability theory, functional analysis and mathematical physics. Since 1985, he has been the directeur de recherches at CNRS and a member of the Functional Analysis Team of the Institut de mathématiques de Jussieu in Paris. Talagrand was also a faculty member at The Ohio State University for more than fifteen years. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section. In 2024, Talagrand received the Abel Prize.

Talagrand studies mainly functional analysis and probability theory and their applications.

Career

Talagrand has been interested in probability with minimal structure, aiming at proving in a rigorous mathematical form, statements, heuristics and formulas that have proven to be useful in the theoretical and experimental side of physics. He has obtained a complete characterization of bounded Gaussian processes in very general settings, and also new methods to bound stochastic processes. He discovered new aspects of the isoperimetric and concentration of measure phenomena for product spaces, by obtaining inequalities which make use of new kinds of distances between a point and a subset of a product space. These inequalities show in great generality that a random quantity which depends on many independent variables, without depending too much on any one of them, has only small fluctuations. These inequalities helped to solve several classical problems in probability theory on Banach spaces, and have also transformed the abstract theory of stochastic processes. These inequalities have been successfully used in many applications involving stochastic quantities, like for instance in statistical mechanics (disordered systems), theoretical computer science, random matrices, and statistics (empirical processes).

Talagrand commented in the introduction to his two-volume monograph on mean field models of spin glasses:

In particular, the monograph offers an exposition of Talagrand's proof of the validity of the Parisi formula.

Talagrand was awarded the Abel Prize from The Norwegian Academy of Science and Letters for 2024 for his work in ‘Suprema of stochastic processes’, ‘Concentration of measures’ and ‘Spin glass’.

Personal life

He is married to Wansoo Rhee, a now retired professor of management science at The Ohio State University, whom he met on his first ever trip to the USA. They have two sons.

Awards

Peccot Lectures of the French Collège de France (1980) Peccot-Vimont Prize of the French Collège de France (1980) Servant Prize of the French Académie des sciences (1985) Invited Speaker to the International Congress of Mathematicians (Kyoto 1990) Loève Prize in Probability (1995) Fermat Prize for mathematical research (1997) Corresponding member of the French Academy of Sciences (1997) Plenary Speaker to the International Congress of Mathematicians (Berlin 1998) Member of the French Academy of Sciences (2004) Chevalier of the Order of the Legion of Honor (2011) Shaw Prize in mathematics (2019) Stefan Banach Medal of the Polish Academy of Sciences (2022) The Abel Prize (2024)