Masaki Kashiwara
| birth_place = Yūki, Ibaraki, Japan | death_date = | death_place = | nationality = Japanese | fields = Mathematics | workplaces = Kyoto University | alma_mater = University of Tokyo (MSc, 1971)Kyoto University (PhD, 1974) | doctoral_advisor = Mikio Sato | doctoral_students = | known_for = algebraic analysis
microlocal analysis
''D''-modules
crystal bases
Riemann–Hilbert correspondence
Kazhdan–Lusztig conjecture | awards = (1981)
Asahi Prize (1988)
Japan Academy Prize (1988)
Kyoto Prize (2018)
Chern Medal (2018) }} 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. 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. Provided by Wikipedia
1
Published: [2017]
Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
2
Published: [2016]
Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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3
Published: 1993.
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4
Published: [2011]
Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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