Masaki Kashiwara
Encyclopedia
is a Japan
ese mathematician
. He was a student of Mikio Sato
at the University of Tokyo
. Sato and Kashiwara have collaborated on algebraic analysis
and D-module
theory.
He is a member of the French Academy of Sciences
.
Japan
Japan is an island nation in East Asia. Located in the Pacific Ocean, it lies to the east of the Sea of Japan, China, North Korea, South Korea and Russia, stretching from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south...
ese mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
. He was a student of Mikio Sato
Mikio Sato
is a Japanese mathematician, who started the field of algebraic analysis. He studied at the University of Tokyo, and then did graduate study in physics as a student of Shin'ichiro Tomonaga...
at the University of Tokyo
University of Tokyo
, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
. Sato and Kashiwara have collaborated on algebraic analysis
Algebraic analysis
Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis to study properties and generalizations of functions such as hyperfunctions and microfunctions.-See also:...
and D-module
D-module
In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of linear partial differential equations...
theory.
He is a member of the French Academy of Sciences
French Academy of Sciences
The French Academy of Sciences is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research...
.
Concepts named after Kashiwara
- Kashiwara constructibility theorem
- Kashiwara index theorem
- Kashiwara–Malgrange filtration (after Kashiwara and Bernard MalgrangeBernard MalgrangeBernard Malgrange is a French mathematician who works on differential equations and singularity theory.He proved the Ehrenpreis–Malgrange theorem and the Malgrange preparation theorem....
) - Kashiwara operators
- Kashiwara crystal basisCrystal baseIn algebra, a crystal base or canonical base is a base of a representation, such that generators of a quantum group or semisimple Lie algebra have a particularly simple action on it...
List of Books available in English
- Seminar on micro-local analysis / by Victor W. Guillemin, Masaki Kashiwara, and Takahiro Kawai (1979)
- Systems of microdifferential equations / Masaki Kashiwara ; notes and translation by Teresa Monteiro Fernandes ; introduction by Jean-Luc Brylinski (1983)
- Introduction to microlocal analysis / M. Kashiwara (1986)
- Foundations of algebraic analysis / by Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura ; translated by Goro Kato (1986)
- Algebraic analysis : papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday / edited by Masaki Kashiwara, Takahiro Kawai (1988)
- Sheaves on manifolds : with a short history
by Christian Houzel / Masaki Kashiwara, Pierre Schapira (1990) - Topological field theory, primitive forms and related topics / Masaki Kashiwara et al.(1998)
- Physical combinatorics / Masaki Kashiwara, Tetsuji Miwa, editors (2000)
- MathPhys odyssey 2001 : integrable models and beyond : in honor of Barry M. McCoy / Masaki Kashiwara, Tetsuji Miwa, editors (2002)
- D-modules and microlocal calculus / Masaki Kashiwara ; translated by Mutsumi Saito (2003)
- Categories and sheaves / Masaki Kashiwara, Pierre Schapira (2006)