- Mikio Sato
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Mikio Sato Born April 18, 1928
TokyoNationality 
JapanFields Mathematics Institutions Kyoto University Alma mater University of Tokyo Doctoral advisor Shokichi Iyanaga Doctoral students Masaki Kashiwara
Motohico MulaseKnown for Bernstein–Sato polynomials Notable awards Wolf Prize (2003)
Rolf Schock Prize (1997)Mikio Sato (佐藤 幹夫 Satō Mikio, born April 18, 1928) is a Japanese mathematician, who started the field of algebraic analysis. He studied at the University of Tokyo, and then did graduate study in physics as a student of Shin'ichiro Tomonaga. From 1970 Sato has been professor at the Research Institute for Mathematical Sciences, of Kyoto University.
He is known for his innovative work in a number of fields, such as prehomogeneous vector spaces and Bernstein–Sato polynomials; and particularly for his hyperfunction theory. This initially appeared as an extension of the ideas of distribution theory; it was soon connected to the local cohomology theory of Grothendieck, for which it was an independent origin, and to expression in terms of sheaf theory. It led further to the theory of microfunctions, interest in microlocal aspects of linear partial differential equations and Fourier theory such as wave fronts, and ultimately to the current developments in D-module theory. Part of that is the modern theory of holonomic systems: PDEs over-determined to the point of having finite-dimensional spaces of solutions.
He also contributed basic work to non-linear soliton theory, with the use of Grassmannians of infinite dimension. In number theory he is known for the Sato–Tate conjecture on L-functions.
He is a member of the National Academy of Sciences since 1993. He received the Schock Prize in 1997, and the Wolf Prize in 2003.
External links
- Mikio Sato at the Mathematics Genealogy Project.
- Schock Prize citation
- 1990 Interview in the AMS Notices
- Mikio Sato, a Visionary of Mathematics by Pierre Schapira
Rolf Schock Prize laureates Logic and philosophy Willard Van Orman Quine (1993) · Michael Dummett (1995) · Dana Scott (1997) · John Rawls (1999) · Saul Kripke (2001) · Solomon Feferman (2003) · Jaakko Hintikka (2005) · Thomas Nagel (2008)Mathematics Elias M. Stein (1993) · Andrew Wiles (1995) · Mikio Sato (1997) · Yuri I. Manin (1999) · Elliott H. Lieb (2001) · Richard P. Stanley (2003) · Luis Caffarelli (2005) · Endre Szemerédi (2008)Musical arts Ingvar Lidholm (1993) · György Ligeti (1995) · Jorma Panula (1997) · Kronos Quartet (1999) · Kaija Saariaho (2001) · Anne Sofie von Otter (2003) · Mauricio Kagel (2005) · Gidon Kremer (2008)Visual arts Rafael Moneo (1993) · Claes Oldenburg (1995) · Torsten Andersson (1997) · Herzog & de Meuron (1999) · Giuseppe Penone (2001) · Susan Rothenberg (2003) · SANAA / Kazuyo Sejima + Ryue Nishizawa (2005) · Mona Hatoum (2008)Categories:- 1928 births
- Members of the United States National Academy of Sciences
- 20th-century mathematicians
- Japanese mathematicians
- Living people
- Rolf Schock Prize laureates
- University of Tokyo alumni
- Wolf Prize in Mathematics laureates
- Osaka University faculty
- Kyoto University faculty
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