Gorō Shimura

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Gorō Shimura ( Japanese 志 村 五郎 Shimura Gorō ; born February 23, 1930 in Hamamatsu ; † May 3, 2019 ) was a Japanese - American mathematician .

Life

Shimura studied mathematics at the University of Tokyo , where he received his bachelor's degree in 1952 and his doctorate in 1958. Before that, he was a lecturer at the University of Tokyo from 1954. In 1957/58 he was in Europe, first in Paris, but also to lectures in Göttingen , where he met Carl Ludwig Siegel , and in Marburg with Martin Eichler . In 1961 he became a professor at Osaka University . From 1964 he was Professor of Mathematics at Princeton University (Michael Henry Strater Professorship). He was several times at the Institute for Advanced Study (1958–1959, 1967, 1970–1971, 1974–1975, 1979) in Princeton.

Shimura dealt with modular functions and their application in number theory. Many concepts are named after him, including Shimura varieties (higher-dimensional generalizations of the module curve ). They are studied a lot in arithmetic algebraic geometry and are important in the Langlands program . Together with Yutaka Taniyama , who died early , he developed the Taniyama-Shimura conjecture , which he conceived and which was fully proven at the end of the 1990s and on which the proof of the Fermat conjecture is based.

As a hobby he solved Shogi problems and collected Japanese Imari porcelain , about which he wrote a book ( The Story of Imari: The Symbols and Mysteries of Antique Japanese Porcelain , Ten Speed ​​Press 2008).

In 1958 he was invited speaker at the ICM in Edinburgh ( Fonctions automorphes et correspondances modulaires ), 1966 in Moscow ( Number fields and zeta functions associated with discontinuous groups and algebraic varieties ), 1970 in Nice ( On arithmetic automorphic functions ) and 1978 in Helsinki ( Some problems of algebraicity ). 1970–1971 he was a Guggenheim Fellow. In 1977 he received the Cole Prize in number theory and in 1991 the Asahi Prize , also for his research in this area. In 1996 he was awarded the Leroy P. Steele Prize of the American Mathematical Society .

His doctoral students include Don Blasius , Robert Rumely , Melvin Hochster , Alice Silverberg , Paul Garrett , Greg Anderson, and William Casselman .

He died on May 3, 2019 at the age of 89.

Fonts

  • The Map of My Life , Springer, 2008, ISBN 978-0-387-79714-4 (English, autobiography)
  • Automorphic functions and number theory , Springer 1968
  • Collected Papers , 4 volumes, Springer 2002, 2003
  • Euler Products and Eisenstein Series , American Mathematical Society, 1997
  • Introduction to the arithmetic theory of automorphic functions , Princeton University Press 1971
  • with Taniyama: Complex multiplication of abelian varieties and its applications to number theory , Mathematical Society of Japan, Tokyo 1961
  • On the Fourier coefficients of modular forms of several variables , Göttingen, Vandenhoeck and Ruprecht 1975
  • Abelian varieties with complex multiplication and modular functions , Princeton University Press 1999
  • Arithmetic and analytic theory of quadratic forms and Clifford Groups , AMS 2004
  • Arithmeticity in the theory of automorphic forms , AMS 2000
  • Arithmetic of quadratic forms , Springer 2010

Web links

Individual evidence

  1. Gorō Shimura in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Professor Emeritus Goro Shimura 1930-2019 princeton.edu, accessed on May 4, 2019