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|Alma mater||University of Tokyo (M.Sc., 1971)|
Kyoto University (Ph.D., 1974)
|Known for||algebraic analysis|
|Awards||Iyanaga Prize (1981)|
Asahi Prize (1988)
Japan Academy Prize (1988)
Kyoto Prize in Mathematics (2018)
Chern Medal (2018) "For his outstanding and foundational contributions to algebraic analysis and representation theory sustained over a period of almost 50 years."
|Doctoral advisor||Mikio Sato|
Masaki Kashiwara ( , Kashiwara Masaki, born January 30, 1947 in Y?ki, Ibaraki) is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module theory, Hodge theory, sheaf theory and representation theory.
Kashiwara and Sato established the foundations of the theory of systems of linear partial differential equations with analytic coefficients, introducing a cohomological approach that follows the spirit of Grothendieck's theory of schemes. Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of D-module theory. His PhD thesis proves the rationality of the roots of b-functions (Bernstein-Sato polynomials), using D-module theory and resolution of singularities.
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