Masaki Kashiwara
Kyoto University
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Primary Section: 11, Mathematics Membership Type:
International Member
(elected 2023)
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Biosketch
Masaki Kashiwara, PhD is Programm-Specific Professor at Kyoto University Institute for Advanced Study and Project Professor at Research Institute for Mathematical Sciences, Kyoto University. He had a master degree at University of Tokyo in 1969 and PhD at Kyoto University in 1974. He has been at Research Institute for Mathematical Sciences, Kyoto University since 1971 with a break when he was at Nagoya University in 1974--77. He is a member of the Japan Academy and a foreign member of Academie des Sciences, Institut de France.
Research Interests
Dr. Kashiwara started his research in Algebraic Analysis, to study linear partial differential equation algebraic method. In particular, he contributed to microlocal analysis, to study the equations on the cotangent bundle. Then, he introduced the regular holonomic D-modules in order to generalize the notion of linear ordinary differential equations with regular singularities. He then proved a higher-dimensional version of the Riemann-Hilbert conjecture originally, the correspondence of the monodromy and ordinary linear differential equations. He then applied the Riemann-Hilbert correspondence as a tool of connecting the geometry and representation theory to prove the Kazhdan-Lusztig conjecture with Brylinski. Recently, he studies the monoidal categories associated with quiver Hecke algebras and quantum affine algebras.
