Masaki Kashiwara

| birth_place = Yūki, Ibaraki, Japan | death_date = | death_place = | nationality = Japanese | fields = Mathematics | workplaces = Kyoto University | alma_mater = University of Tokyo (M.Sc., 1971)
Kyoto University (Ph.D., 1974) | doctoral_advisor = Mikio Sato | doctoral_students = | 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 in Mathematics (2018)
Chern Medal (2018) "For his outstanding and foundational contributions to algebraic analysis and representation theory sustained over a period of almost 50 years." }} 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 is a member of the French Academy of Sciences and of the Japan Academy. Provided by Wikipedia

1
by Kashiwara, Masaki
Published 2017
Princeton University Press

2
by Kashiwara, Masaki, Schapira, Pierre
Published 2006
Springer Berlin Heidelberg

3
by Kashiwara, Masaki, Schapira, Pierre
Published 2016
Cambridge University Press

4
by Kashiwara, Masaki, Schapira, Pierre
Published 1990
Springer Berlin Heidelberg

6
by Guillemin, Victor
Published 2016
Princeton University Press
Other Authors: '; ...Kashiwara, Masaki...

7
Published 1991
Springer Japan
Other Authors: '; ...Kashiwara, Masaki...

8
Published 2002
Birkhäuser Boston
Other Authors: '; ...Kashiwara, Masaki...

9
Published 2000
Birkhäuser Boston
Other Authors: '; ...Kashiwara, Masaki...

10
Published 2011
De Gruyter
Other Authors: '; ...Kashiwara, Masaki...