Mikio Sato
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Mikio Sato  

Born 

April 18, 1928
Nationality  Japan 
Alma mater  University of Tokyo (B.Sc., 1952) (Ph.D., 1963) 
Known for 
Bernstein–Sato polynomials SatoTate conjecture 
Awards 
Rolf Schock Prize in Mathematics (1997) Wolf Prize in Mathematics (2003) 
Scientific career  
Fields  Mathematics 
Institutions  Kyoto University 
Doctoral advisor  Shokichi Iyanaga 
Doctoral students 
Masaki Kashiwara Takahiro Kawai 
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. Since 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 theory 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 realization in terms of sheaf theory. Further, it led to the theory of microfunctions and microlocal analysis in linear partial differential equations and Fourier theory, such as for wave fronts, and ultimately to the current developments in Dmodule theory. Part of Sato's hyperfunction theory is the modern theory of holonomic systems: PDEs overdetermined to the point of having finitedimensional spaces of solutions (algebraic analysis).
He also contributed basic work to nonlinear soliton theory, with the use of Grassmannians of infinite dimension. In number theory, he is known for the Sato–Tate conjecture on Lfunctions.
He has been a member of the National Academy of Sciences since 1993. He also received the Schock Prize in 1997 and the Wolf Prize in 2003.
His disciples include Masaki Kashiwara, Takahiro Kawai^{[1]}, Tetsuji Miwa^{[2]}, and Michio Jimbo, who have been called the "Sato School"^{[3]} .
Notes
 ^ Takahiro Kawai https://de.wikipedia.org/wiki/Takahiro_Kawai
 ^ Tetsuji Miwa https://de.wikipedia.org/wiki/Tetsuji_Miwa
 ^ Mikio Sato and Mathematical Physics, Barry M. McCoy PRIMS Volume 47, Issue 1, 2011 http://www.emsph.org/journals/show_abstract.php?issn=00345318&vol=47&iss=1&rank=3&srch=searchterm%7CMikio+Sato
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
 1928 births
 Members of the United States National Academy of Sciences
 20thcentury Japanese mathematicians
 21stcentury Japanese mathematicians
 Living people
 Rolf Schock Prize laureates
 University of Tokyo alumni
 Wolf Prize in Mathematics laureates
 Osaka University faculty
 Kyoto University faculty
 Persons of Cultural Merit