Masaki Kashiwara

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.

Contents

• Masaki kashiwara riemann hilbert correspondence for irregular holonomic d modules
• Masaki kashiwara 4 6 indsheaves temperate holomorphic functions and irregular rh correspondence
• Concepts and Theorems named after Kashiwara
• List of books available in English
• List of books available in French
• References

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 scheme. Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of D-modules 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.

Concepts and Theorems named after Kashiwara

Kashiwara constructibility theorem

Kashiwara index theorem

Kashiwara–Malgrange filtration (after Kashiwara and Bernard Malgrange)

Cauchy-Kowalevsky-Kashiwara theorem (after Kashiwara, Cauchy and Kovalevskaya )

Kashiwara operators

Kashiwara crystal basis

List of books available in English

Seminar on micro-local analysis / by Victor W. Guillemin, Masaki Kashiwara, and Takahiro Kawai (1979), ISBN 978-0691082325

Systems of microdifferential equations / Masaki Kashiwara ; notes and translation by Teresa Monteiro Fernandes ; introduction by Jean-Luc Brylinski (1983), ISBN 978-0817631383

Introduction to microlocal analysis / M. Kashiwara (1986)

Foundations of algebraic analysis / by Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura ; translated by Goro Kato (1986), ISBN 978-0691084138

Algebraic analysis : papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday / edited by Masaki Kashiwara, Takahiro Kawai (1988), ISBN 978-0124004665

Sheaves on manifolds : with a short history by Christian Houzel / Masaki Kashiwara, Pierre Schapira (1990), ISBN 978-3540518617

Topological field theory, primitive forms and related topics / Masaki Kashiwara et al.(1998), ISBN 978-0817639754

Physical combinatorics / Masaki Kashiwara, Tetsuji Miwa, editors (2000), ISBN 978-1461271215

MathPhys Odyssey 2001 : integrable models and beyond : in honor of Barry M. McCoy / Masaki Kashiwara, Tetsuji Miwa, editors (2002), ISBN 978-0817642600

D-modules and microlocal calculus / Masaki Kashiwara ; translated by Mutsumi Saito (2003), ISBN 978-0821827666

Categories and sheaves / Masaki Kashiwara, Pierre Schapira (2006), ISBN 978-3540279495

List of books available in French

Bases cristallines des groupes quantiques / Masaki Kashiwara (rédigé par Charles Cochet) ; Cours Spécialisés 9 (2002), viii+115 pages, ISBN 978-2856291269