Dominique Foata

French mathematician

October 12, 1934, marks the birth of Dominique Foata in Damascus during the period of the French mandate. A researcher and university teacher, he spent his career at the University of Strasbourg, contributing to the development of enumerative combinatorics and probability theory through rigorous algebraic approaches.

Academic Foundation and Research

Educated at the University of Paris, Foata established a career centered on mathematics. He collaborated with Pierre Cartier and Marcel-Paul Schützenberger to pioneer a modern framework for classical combinatorics, a movement that facilitated the expansion of algebraic combinatorics. His research frequently focused on permutation statistics and the application of combinatorial methods to special functions.

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Scientific Contributions and Publications

Foata authored several significant texts, including the 1969 volume Problèmes combinatoires de commutation et réarrangements with Pierre Cartier and the 1970 work Théorie géométrique des polynômes eulériens with Marcel-Paul Schützenberger. His later output includes various probability textbooks, such as the 2002 title Processus stochastiques with Aimé Fuchs and the 2012 release Calcul des probabilités with Jacques Franchi and Aimé Fuchs.

Professional Recognition and Journals

His influence in the field extended to organizational roles, notably as a founder of the Séminaire Lotharingien de Combinatoire alongside Adalbert Kerber and Volker Strehl. He also contributed to the pseudonymous collective known as M. Lothaire. In 1983, he delivered an invited address at the International Congress of Mathematicians held in Warsaw. He received the Scientific Prize of the Union des Assurances de Paris in 1985, the same year he was awarded the Prix Paul Doistau–Émile Blutet.

Fast facts

Questions readers ask

What is the primary focus of Dominique Foata’s research?

He specializes in enumerative combinatorics, permutation statistics, and the combinatorial approach to special functions.

Which institution served as his main professional base?

He held his academic position at the University of Strasbourg.

Achievements

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