Waldschmidt was educated at Lycée Henri Poincaré[fr] and the University of Nancy until 1968. In 1972 he defended his thesis, titled Indépendance algébrique de nombres transcendants (Algebraic independence of transcendental numbers) and directed by Jean Fresnel, the University of Bordeaux, where he was research associate of CNRS in 1971–2. He was then a lecturer at Paris-Sud 11 University in 1972–3, then a lecturer at the University of Paris VI (Pierre et Marie Curie), where he is Professor since 1973. Waldschmidt was also a visiting professor at places including the École normale supérieure. He is a member of the Institut de mathématiques de Jussieu[fr].
Today, Michel Waldschmidt is an expert in the theory of transcendental numbers and diophantine approximations.
He is interested in exchange programs for researchers and students and was, from 2005 to 2009, Vice President CIMPA (International Centre for Pure and Applied Mathematics), formed in Nice for promote international cooperation. He participated in the coordination of cooperation in mathematics of France with many countries, including India and Middle East.
- Diophantine approximation on linear algebraic groups. Springer, 2000 ISBN 978-3-540-66785-8
- Nombres transcendants, Lecture Notes in Mathematics, vol. 402, 1974, Springer ISBN 978-3-540-06874-7
- Nombres transcendants et groupes algébriques, Astérisque, vol. 69/70, 1979, 2e tirage 1987
- Transcendence Methods, Queens Papers in Pure and Applied Mathematics, 1979
- With J.-M. Luck, P. Moussa, C. Itzykson (eds.), From Number Theory to Physics, 1995
- The "Prix Marquet" was established in 1605 by Barthélemy Marquet; see Armorial du Dauphiné p. 385.
- Stolarsky, Kenneth B. (1978). "Review: Transcendental number theory by Alan Baker; Lectures on transcendental numbers by Kurt Mahler; Nombres transcendants by Michel Waldschmidt" (PDF). Bull. Amer. Math. Soc. 84 (8): 1370–1378. doi:10.1090/S0002-9904-1978-14584-4.