Masaki Kashiwara
Masaki Kashiwara 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, using D-module theory and resolution of singularities.
He is a member of the French Academy of Sciences and of the Japan Academy.Concepts and Theorems named after Kashiwara
- Kashiwara constructibility theorem
- Kashiwara index theorem
- Kashiwara–Malgrange filtration
- Cauchy-Kowalevsky-Kashiwara theorem
- Kashiwara operators
- Kashiwara crystal basis
- Seminar on micro-local analysis, by Victor Guillemin, Masaki Kashiwara, and Takahiro Kawai,
- Systems of microdifferential equations, by Masaki Kashiwara; notes and translation by Teresa Monteiro Fernandes; introduction by Jean-Luc Brylinski,
- Introduction to microlocal analysis, by Masaki Kashiwara
- Foundations of algebraic analysis, by Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura; translated by Goro Kato,
- Algebraic analysis : papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday, edited by Masaki Kashiwara, Takahiro Kawai,
- Sheaves on manifolds : with a short history de la théorie des faisceaux> by Christian Houzel, by Masaki Kashiwara, Pierre Schapira,
- Topological field theory, primitive forms and related topics, by Masaki Kashiwara et al.,
- Physical combinatorics, Masaki Kashiwara, Tetsuji Miwa, editors,
- MathPhys Odyssey 2001: integrable models and beyond: in honor of Barry M. McCoy, Masaki Kashiwara, Tetsuji Miwa, editors,
- D-modules and microlocal calculus, Masaki Kashiwara; translated by Mutsumi Saito,
- Categories and sheaves, Masaki Kashiwara and Pierre Schapira,
List of books available in French
- Bases cristallines des groupes quantiques, by Masaki Kashiwara ; Cours Spécialisés 9, viii+115 pages,
