Goro Shimura

Gorō Shimura (Japanese志 村 五郎Gorō Shimura, born February 23, 1930 in Hamamatsu ) is a Japanese- American mathematician.

Shimura studied mathematics at the University of Tokyo, where in 1952 he took his bachelor's degree in 1958 and his doctorate. Previously, he was from 1954 professor at the University of Tokyo. In 1957/58 he was in Europe, first in Paris, but also to give lectures in Göttingen, where he met Carl Ludwig Siegel, and in Marburg Martin Eichler. In 1961 he became a professor at Osaka University. From 1964 he was professor of mathematics at Princeton University (Michael Henry Strater Chair ). He was repeatedly at the Institute for Advanced Study (1958 /9, 1967, 1970/71, 1974/75, 1979) at Princeton.

Shimura deals with module functions and their applications in number theory. Here, many concepts are named after him, including Shimura varieties ( higher-dimensional generalizations of module functions). They are much studied in arithmetic algebraic geometry and are important in the Langlands program. Together with the early Taniyama Yutaka died, he developed the designed of this Taniyama - Shimura conjecture, which was in the late 1990s and fully proved at the root of the proof of Fermatvermutung.

As a hobby he solves Shogi problems and collects 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 ).

1970/71 he was a Guggenheim Fellow. In 1977 he received the Cole prize in number theory. In 1991 he was awarded the Asahi Prize for his research in the field of number theory. He was awarded the Leroy P. Steele Prize of the American Mathematical Society in 1996. In 1966 he was invited speaker at the ICM in Moscow ( Number fields and zeta functions associated with discontinuous groups and algebraic varieties ), 1958 in Edinburgh ( Fonctions automorphes et correspondances module aires ), 1978 in Helsinki ( Some problems of algebraicity ) and 1970 in Nice ( On arithmetic automorphic functions).

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

Writings

  • 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
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