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Masaki Kashiwara
Kashiwara at ICM Madrid in 2006
Born
(1947-01-30) January 30, 1947 (age 77)
Yūki, Ibaraki, Japan
Nationality
Japanese
Alma mater
University of Tokyo (MSc, 1971) Kyoto University (PhD, 1974)
Iyanaga Prize [ja] (1981) Asahi Prize (1988) Japan Academy Prize (1988) Kyoto Prize (2018) Chern Medal (2018)
Scientific career
Fields
Mathematics
Institutions
Kyoto University
Doctoral advisor
Mikio 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.
expositions of the theory. On April 3, 2020, two Japanese mathematicians, MasakiKashiwara and Akio Tamagawa, announced that Mochizuki's claimed proof of the...
He was director of RIMS from 1987 to 1991. His disciples include MasakiKashiwara, Takahiro Kawai, Tetsuji Miwa, as well as Michio Jimbo, who have been...
emeritus at RIMS. He was a student of Mikio Sato at the same time as MasakiKashiwara with whom he later shared the Asahi Prize in 1987. "Homepage of Takahiro...
algebra. The Hall algebra plays an important role in the theory of MasakiKashiwara and George Lusztig regarding canonical bases in quantum groups. Ringel...
seminal work in Hodge theory and periods of algebraic varieties" 2018 MasakiKashiwara "For his outstanding and foundational contributions to algebraic analysis...
to Deligne's paper, Zoghman Mebkhout's 1980 thesis and the work of MasakiKashiwara through D-modules theory (but published in the 80s) on the problem...
Wolfgang Soergel, one by David Kazhdan and George Lusztig and one by MasakiKashiwara and Toshiyuki Tanisaki for sufficiently large group-specific characteristics...
Victor Ivrii Henryk Iwaniec S. V. Jablonskii Arthur Jaffe V. G. Kac MasakiKashiwara Nicholas Michael Katz George Kempf V. M. Kharlamov A. A. Kirillov Boris...
2017 Graham Farquhar Australia born 1947 Biological sciences 2018 MasakiKashiwara Japan born 1947 Mathematical sciences 2019 James Gunn United States...
hyperfunctions in the early 1970s under the influence of Mikio Satō and MasakiKashiwara. In 1973 Miwa moved to RIMS (Research Institute for Mathematical Sciences)...
group, and to define quasi-invariants for knots, links and braids. MasakiKashiwara has researched the limiting behaviour of quantum groups as q → 0, and...
International Conference on Combinatorial physics Physical Combinatorics, MasakiKashiwara, Tetsuji Miwa, Springer, 2000, ISBN 0-8176-4175-0 David Ruelle (1999)...
bases arising in the approach to quantum groups of MasakiKashiwara and George Lusztig. Kashiwara and Lusztig constructed canonical bases for representations...