Masaki Kashiwara

Masaki Kashiwara
Kashiwara at ICM Madrid in 2006
Born (1947-01-30) January 30, 1947 (age 77)
NationalityJapanese
Alma materUniversity of Tokyo (MSc, 1971)
Kyoto University (PhD, 1974)
Known foralgebraic analysis
microlocal analysis
D-modules
crystal bases
Riemann–Hilbert correspondence
Kazhdan–Lusztig conjecture
AwardsIyanaga Prize [ja] (1981)
Asahi Prize (1988)
Japan Academy Prize (1988)
Kyoto Prize (2018)
Chern Medal (2018)
Scientific career
FieldsMathematics
InstitutionsKyoto University
Doctoral advisorMikio 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.

  1. ^ a b Pierre Schapira (2008). "Masaki Kashiwara and Algebraic Analysis". arXiv:0810.4875 [math.HO].