Jean Dieudonné

Jean Alexandre Eugène Dieudonné

Jean Alexandre Eugène Dieudonné
Born (1906-07-01)1 July 1906
Lille, France
Died 29 November 1992(1992-11-29) (aged 86)
Paris, France
Nationality French
Fields Mathematics
Institutions Institut des Hautes Études Scientifiques
University of Nice
University of São Paulo
University of Nancy
University of Michigan
Northwestern University
Alma mater École Normale Supérieure
Doctoral advisor Paul Montel
Doctoral students Edmond Fedida
Alexander Grothendieck
Kishore Marathe
Paulo Ribenboim
Known for Cartan–Dieudonné theorem
Paracompact spaces
Notable awards Leroy P. Steele Prize (1971)

Jean Alexandre Eugène Dieudonné (French: [djødɔne]; 1 July 1906 – 29 November 1992) was a French mathematician, notable for research in abstract algebra, algebraic geometry, and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the Éléments de géométrie algébrique project of Alexander Grothendieck, and as a historian of mathematics, particularly in the fields of functional analysis and algebraic topology. His work on the classical groups (the book La Géométrie des groupes classiques was published in 1955), and on formal groups, introducing what now are called Dieudonné modules, had a major effect on those fields.

He 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.[1] He began working, conventionally enough, in complex analysis. In 1934 he was one of the group of normaliens convened by Weil, which would become 'Bourbaki'.

Education and teaching

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.

Career

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 IHÉS alongside Grothendieck, and collaborating on the expository work needed to support the project of refounding algebraic geometry on the new basis of schemes.

See also

Selected works

References

  1. ↑ Weil, A. (1992). The apprenticeship of a mathematician. Springer.
  2. ↑ Kolchin, E. R. (1949). "Review: Sur les groupes classiques, by Jean Dieudonné" (PDF). Bull. Amer. Math. Soc. 55 (3, Part 1): 317–320. doi:10.1090/s0002-9904-1949-09196-6.
  3. ↑ Reiner, Irving (1956). "Review: La géométrie des groupes classiques, by Jean Dieudonné" (PDF). Bull. Amer. Math. Soc. 62 (4): 417–420. doi:10.1090/s0002-9904-1956-10056-6.
  4. ↑ Marsden, J. E. (1980). "Review: Treatise on analysis, by Jean Dieudonné, trans. by I. G. MacDonald" (PDF). Bull. Amer. Math. Soc. (N.S.). 3 (1): 719–724. doi:10.1090/S0273-0979-1980-14804-1.
  5. ↑ Nachbin, Leopoldo (1960). "Review: Foundations of Modern Analysis, by Jean Dieudonné" (PDF). Bull. Amer. Math. Soc. 67 (3): 246–250. doi:10.1090/s0002-9904-1961-10566-1.
  6. 1 2 Hartshorne, Robin (1976). "Review: Cours de géométrie algébrique, vols. I and II by Jean Dieudonné; Basic Algebraic Geometry, by I R. Shararevich, trans. by K. A. Hirsch" (PDF). Bull. Amer. Math. Soc. 82 (3): 455–459. doi:10.1090/S0002-9904-1976-14042-6.
  7. ↑ Halmos, P. R. (1979). "Review: Panorama des mathématiques pure, by Jean Dieudonné" (PDF). Bull. Amer. Math. Soc. (N.S.). 1 (4): 678–681. doi:10.1090/s0273-0979-1979-14661-5.
  8. ↑ Doran, R. S. (1982). "Review: History of functional analysis, by Jean Dieudonné" (PDF). Bull. Amer. Math. Soc. (N.S.). 7 (2): 403–409. doi:10.1090/s0273-0979-1982-15049-2.
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