Bernard Dwork

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Bernard M. Dwork (born May 27, 1923 in the Bronx in New York City , † May 9, 1998 in New Brunswick ) was an American mathematician who worked in the field of number theory and arithmetic algebraic geometry.

life and work

Dwork attended City College in New York City and the Polytechnic in Brooklyn , where he initially trained as an electrical engineer. He then switched to Mathematics at Columbia University , where he received his doctorate in 1954 under the supervision of Princeton mathematicians Emil Artin and John T. Tate ( On the Global Root Number in the Functional Equation of the Artin-Weil L-Series ). First he was a tutor and assistant at Harvard (1954–1959), then 1960–1964 at Johns Hopkins University , where he became a full professor in 1961. In 1964 he became a professor at Princeton , where he retired in 1993. From 1992 until his death in 1998 he held an honorary professorship in Padua .

Dwork was a pioneer in p-adic analysis . His application of p-adic methods for the study of algebraic varieties over finite fields culminated in the proof of the rationality of the associated zeta functions , one of the Weil conjectures . For this work he received the Cole Prize for Algebra in 1962 .

1961–1963 he was a Sloan Research Fellow , 1971–1972 Guggenheim Fellow .

Nicholas Katz and Kenneth Ireland were among his PhD students .

He had been married since 1948 and had 3 children, daughters Cynthia and Deborah and son Andrew. His daughter, Cynthia Dwork, is a computer scientist at Microsoft Research, winner of the Dijkstra Prize , and his daughter, Debórah Dwork, is a Holocaust historian and Guggenheim fellow.

Dwork also published under the pseudonym Boyarsky, the maiden name of his mother.

Fonts

  • Dwork Lectures on p-adic differential equations , Springer, Grundlehren der Mathematischen Wissenschaften, 1982
  • ders. On the rationality of the zeta function of an algebraic variety , American Journal of Mathematics, Vol. 82, 1960, pp. 631-648
  • with G. Gerotto, FJ Sullivan Introduction to G-functions , Annals of Mathematical Studies, Princeton University Press 1994

literature

  • Jean-Pierre Serre Rationalite de fonction zeta des varietes algebriques (d'apres Dwork) , Seminaire Bourbaki no.198 , 1960
  • Alan Adolphson, Francesco Baldassarri , Pierre Berthelot , Nicholas Katz (eds.) Geometric Aspects of Dworks Theory , 2 vols., Berlin, de Gruyter 2004 (Lectures on the occasion of a Memorial Conference 2001 in Italy)

Web links

Individual evidence

  1. ↑ Maurizio Boyarsky p-adic gamma functions and Dwork cohomology , Trans. AMS, Volume 257, 1980. He referred to this in Dwork On the Boyarsky principle , Amer. J. Math., Vol. 105, 1983. He also used the name Boyarsky for work in computer science, in part with his daughter, Cynthia Dwork. Comment from Felipe Voloch, Victor Miller at mathoverflow
personal data
SURNAME Dwork, Bernard
ALTERNATIVE NAMES Dwork, Bernard M.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH May 27, 1923
PLACE OF BIRTH Bronx
DATE OF DEATH May 9, 1998
Place of death New Brunswick