Jean Dieudonné

Verified Timeline

Lore & Background

Dieudonné was born and brought up in Lille, with a formative stay in England where he was introduced to algebra. In 1924 he was admitted to the École Normale Supérieure, where André Weil was a classmate. He began working in complex analysis. In 1934 he was one of the group of normaliens convened by Weil, which would become 'Bourbaki'. He served in the French Army during World War II, and then taught in Clermont-Ferrand until the liberation of France. After holding professorships at the University of São Paulo (1946–47), the University of Nancy (1948–1952) and the University of Michigan (1952–53), he joined the Department of Mathematics at Northwestern University in 1953, before returning to France as a founding member of the Institut des Hautes Études Scientifiques. He moved to the University of Nice to found the Department of Mathematics in 1964, and retired in 1970. He was elected as a member of the Académie des Sciences in 1968. Dieudonné drafted much of the Bourbaki series of texts, the many volumes of the EGA algebraic geometry series, and nine volumes of his own Éléments d'Analyse. The first volume of the Traité is a French version of the book Foundations of Modern Analysis (1960), which had become a graduate textbook on functional analysis. He also wrote individual monographs on Infinitesimal Calculus, Linear Algebra and Elementary Geometry, invariant theory, commutative algebra, algebraic geometry, and formal groups. With Laurent Schwartz he supervised the early research of Alexander Grothendieck. Later from 1959 to 1964 he was at the Institut des Hautes Études Scientifiques alongside Grothendieck, and collaborating on the expository work needed to support the project of refounding algebraic geometry on the new basis of schemes.

Reader's Guide

Dieudonné's significance lies in his dual role as a creator and systematizer of modern mathematics. As a core member of Bourbaki, he drafted much of the Bourbaki series of texts. His work on classical groups, particularly the 1955 book La Géométrie des groupes classiques, and on formal groups—introducing what are now called Dieudonné modules—had a major effect on those fields. His collaboration with Grothendieck on the Éléments de géométrie algébrique project was foundational for the scheme-theoretic revolution in algebraic geometry. As a historian, he wrote influential accounts of functional analysis and algebraic topology. His nine-volume Éléments d'Analyse and the textbook Foundations of Modern Analysis (1960) became standard references. Dieudonné's legacy is that of a mathematician who both advanced research and codified the discipline for future generations.

Did You Know?

• Dieudonné was born and brought up in Lille, with a formative stay in England where he was introduced to algebra.
• In 1924 he was admitted to the École Normale Supérieure, where André Weil was a classmate.
• He served in the French Army during World War II, then taught in Clermont-Ferrand until the liberation of France.
• He was a founding member of the Institut des Hautes Études Scientifiques and later moved to the University of Nice to found its Department of Mathematics in 1964.
• With Laurent Schwartz he supervised the early research of Alexander Grothendieck.