Background
Kashiwara, Masaki was born on July 30, 1947.
柏原 正樹
mathematician university professor
Kashiwara, Masaki was born on July 30, 1947.
His PhD thesis proves the rationality of the roots of b-functions (Bernstein-Sato polynomials), using D-module theory and resolution of singularities.
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 theory of schemes.
Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of D-modules theory. Kashiwara constructibility theorem Kashiwara index theorem Kashiwara–Malgrange filtration (after Kashiwara and Bernard Malgrange) Cauchy-Kowalevsky-Kashiwara theorem (after Kashiwara, Cauchy and Kovalevskaya ) Kashiwara operators Kashiwara crystal basis.
[Japan Academy; French Academy of Sciences]
He is a member of the French Academy of Sciences and of the Japan Academy.