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| Masaaki Kashiwara | |
|---|---|
| Name | Masaaki Kashiwara |
| Birth date | 1947 |
| Birth place | Tokyo, Japan |
| Fields | Mathematics |
| Workplaces | University of Tokyo; Harvard University; Kyoto University; RIMS |
| Alma mater | University of Tokyo |
| Doctoral advisor | Mikio Sato |
Masaaki Kashiwara is a Japanese mathematician noted for foundational work in representation theory, microlocal analysis, and algebraic analysis. He made seminal contributions to D-module theory, perverse sheaves, and crystal bases, influencing research across University of Tokyo, Harvard University, Kyoto University, RIMS, and numerous institutes. His results have deep connections to work by Mikio Sato, Jean Leray, Alexander Grothendieck, Pierre Deligne, and Lusztig.
Kashiwara was born in Tokyo and educated at the University of Tokyo, where he studied under Mikio Sato and encountered ideas from Laurent Schwartz, Jean Leray, Hiroshi Oka, Kunihiko Kodaira, and Kiyoshi Oka. During his doctoral period he engaged with the schools around Tokyo Institute of Technology, Nagoya University, Osaka University, Kyoto University, and met visiting mathematicians from IHÉS, Institut Fourier, and École Normale Supérieure. His early exposure included seminars influenced by Bernard Malgrange, Masaki Kashiwara's contemporaries such as Takurō Mochizuki, Toshiyuki Kobayashi, and interactions with researchers from Seoul National University, Princeton University, Massachusetts Institute of Technology, and Stanford University.
Kashiwara held positions at the University of Tokyo, visiting posts at Harvard University and collaborative affiliations with RIMS at Kyoto University and institutes such as IHÉS, Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, Newton Institute, and Mathematical Sciences Research Institute. He served on editorial boards of journals associated with American Mathematical Society, Springer, Elsevier, Cambridge University Press, and participated in conferences organized by European Mathematical Society, International Congress of Mathematicians, Society for Industrial and Applied Mathematics, and Japan Society for the Promotion of Science.
Kashiwara developed the theory of D-modules building on ideas of Mikio Sato and Masaki Kashiwara's collaborators such as Jean-Pierre Serre and Alexander Grothendieck, proving fundamental theorems on regular holonomic D-modules and the Riemann–Hilbert correspondence related to work by Bernard Malgrange, Pierre Deligne, Giovanni Maria F., and André Martinet. He introduced the notion of characteristic cycles and microlocalization linked to Lagrangian submanifolds, interacting with research by Vladimir Arnold, Victor Guillemin, Lars Hörmander, and J. J. Duistermaat. In representation theory he co-founded the theory of crystal bases and global bases with connections to quantum groups initiated by Vladimir Drinfeld, Michio Jimbo, and George Lusztig, influencing categorification programs involving Bernhard Keller, Huang Jun, Henning Krause, and Mikhail Khovanov. Kashiwara's work on perverse sheaves extended ideas of Alexander Beilinson, Joseph Bernstein, Pierre Deligne, and Masaki Kashiwara's collaborations advanced microlocal sheaf theory later influential for researchers like Sir Michael Atiyah, Isadore Singer, Maxim Kontsevich, Edward Witten, and Dennis Sullivan. His contributions shaped interactions among algebraic geometry, symplectic geometry, mathematical physics, and number theory through links with Yuri Manin, Pierre Schapira, André Henriques, and Takeshi Saito.
Kashiwara authored and co-authored key texts such as "Sheaves on Manifolds" with Pierre Schapira, monographs on D-module theory, and papers on crystal bases appearing in journals edited by American Mathematical Society and Society for Industrial and Applied Mathematics. Important works include joint articles with Takurō Mochizuki, expository pieces for International Congress of Mathematicians, contributions to collected volumes from Cambridge University Press, and foundational papers that built on results by Jean-Luc Brylinski, Wilfried Schmid, Masayoshi Nagata, Tetsuji Miwa, and Hidetoshi Nakajima. His publications influenced subsequent volumes edited by Bernard Teissier, Serge Lang, Elias Stein, Robert Langlands, and Nicholas Katz.
Kashiwara received major recognitions including prizes and memberships in academies such as Japan Academy, the Asahi Prize, and honors often associated with laureates like Fields Medal winners and scholars from Royal Society. He was an invited speaker at the International Congress of Mathematicians and received awards comparable to those granted by International Mathematical Union, Kyoto Prize committees, and national science foundations including the Japan Society for the Promotion of Science fellowships. He held honorary positions and delivered named lectures at institutions including Harvard University, Princeton University, Oxford University, Cambridge University, and École Normale Supérieure.
Kashiwara supervised students who became prominent mathematicians linked to faculties at Kyoto University, University of Tokyo, Princeton University, Harvard University, Stanford University, and MIT. His academic descendants include researchers working on D-modules, crystal bases, perverse sheaves, microlocal analysis, and categorification, collaborating with scholars from University of Chicago, Columbia University, University of California, Berkeley, ETH Zurich, Université Paris-Sud, and Università di Roma La Sapienza.
Category:Japanese mathematicians Category:1947 births Category:Living people