René Andre Carmona (born August 6, 1947) is a French mathematician and professor at Princeton University who is known for developing a probabilistic approach for mean field games. He is a fellow of the Society for Industrial and Applied Mathematics, the American Mathematical Society and the Institute of Mathematical Statistics.
Carmona earned his undergraduate degree from the Aix-Marseille University in 1968 and would receive his Ph.D. from the same university in 1977. His thesis, Contribution àl'étude des mesures gaussiennes dans les espaces de Banach, was supervised by Leonard Gross.
Carmona's first academic job was at the Aix-Marseille University after he completed his Ph.D. He moved from Cornell University to Princeton University before taking a job as an assistant professor at the University of California, Irvine (UCI) in 1981. Carmona became a full professor by 1984 and was named a fellow of the Institute of Mathematical Statistics the following year. He stayed at UCI until 1995 when he accepted a professorship at Princeton.
In 2020, Carmona and were awarded the Joseph L. Doob Prize by the American Mathematical Society for their two volume series Probabilistic Theory of Mean Field Games with Applications. The books were published in 2018 by Springer as part of the Probability Theory and Stochastic Modeling series. The books contain the motivation and background for understanding the probabilistic model for mean field games that Carmona and Delarue spent the last decade researching.