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Masaki Kashiwara | |
|---|---|
 Kashiwara at ICM Madrid in 2006 | |
| Born | January 30, 1947 Yūki, Ibaraki, Japan |
| Nationality | Japanese |
| Alma mater | University of Tokyo (MSc, 1971) Kyoto University (PhD, 1974) |
| Known for | algebraic analysis microlocal analysis D-modules crystal bases Riemann–Hilbert correspondence Kazhdan–Lusztig conjecture |
| Awards | Iyanaga Prize (1981) Asahi Prize (1988) Japan Academy Prize (1988) Kyoto Prize (2018) Chern Medal (2018) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Kyoto University |
| Doctoral advisor | Mikio Sato |
Masaki Kashiwara (柏原 正樹, Kashiwara Masaki, born January 30, 1947 in Yūki, 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.[1]
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.[1] He was a plenary speaker at International Congress of Mathematicians, 1978, Helsinki and an invited speaker, 1990, Kyoto.
He is a member of the French Academy of Sciences and of the Japan Academy.