Arthur Mattuck

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Arthur Paul Mattuck (born June 11, 1930 in Brooklyn ) is an American mathematician who studies algebraic geometry .

life and work

Mattuck studied at Swarthmore College with a bachelor's degree in 1951 and received his doctorate in 1954 from Princeton University under Emil Artin ( Abelian varieties over p-adic ground fields ). As a post-doctoral student he was at Harvard University and from 1955 to 1957 Moore Instructor at the Massachusetts Institute of Technology (MIT). In 1958 he became assistant professor there and in 1965 professor. Mattuck was from 1984 to 1989 the math faculty at MIT. In 1972 and 1978 he received the Class of 1922 chair for his renewal of mathematics teaching at MIT. In particular, he developed the analysis course and also published on teaching methods. From 1972 to 1989 and from 1982 to 1984 he was the Undergraduate Committee at MIT; for services to teaching he became a Margaret MacVicar Fellow in 1992 . He is a fellow of the American Mathematical Society .

In 1958 he and John T. Tate derived the inequality of Guido Castelnuovo and Francesco Severi (Castelnuovo 1906) for correspondences of curves over algebraically closed bodies from the Riemann-Roch theorem . Alexander Grothendieck analyzed the proof and simplified it further. The Castelnuovo-Severi inequality plays an important role in André Weil's proof of the Riemann conjecture about function fields.

From 1959 until the divorce in 1977 he was married to the chemist Joan Berkowitz .

Fonts

  • Introduction to Analysis , Prentice Hall 1999
  • with John T. Tate On the inequality of Castelnuovo-Severi , Abhandlungen Mathematisches Seminar Universität Hamburg, Volume 22, 1958, pp. 295-299

literature

  • Interview in Joel Segel (Ed.), Recountings, Conversations with MIT mathematicians, AK Peters 2009

Web links

Individual evidence

  1. Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ^ The Torch and the Firehose: A Guide To Section Teaching , 1981
  4. Sur une note de Mattuck-Tate , J. Reine Angewandte Mathematik, Volume 200 1958, p. 215
  5. Because Sur les courbes algebriques et les varietes qui s'en deduisent , Actualites Scientifiques Industrielles No. 104, 1948. Another proof of the inequality comes from Weil