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Masaki Kashiwara

Masaki Kashiwara

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Mathematics
Japan
2026

D-Index & Metrics

Mathematics

D-Index
69
Citations
21910
World Ranking
291
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Japan Leader Award
  • 2025 - Research.com Mathematics in Japan Leader Award
  • 2023 - Research.com Mathematics in Japan Leader Award
  • 2018 - Kyoto Prize in Mathematical sciences Outstanding Contributions to a Broad Spectrum of Modern Mathematics: Advancement of D-module Theory from Its Foundation
  • 2002 - Academie des sciences, France

Overview

Masaki Kashiwara is affiliated with Kyoto University in Japan and specializes primarily in the field of Mathematics. Their research spans various subfields, including Geometry and Topology, Algebra and Number Theory, Statistical and Nonlinear Physics, Mathematical Physics, and Discrete Mathematics and Combinatorics.

The scientist's work focuses on several main topics, such as Algebraic structures and combinatorial models, Advanced Topics in Algebra, Nonlinear Waves and Solitons, Homotopy and Cohomology in Algebraic Topology, Advanced Algebra and Geometry, Advanced Combinatorial Mathematics, and Quantum many-body systems.

Frequent venues for publication include arXiv (Cornell University), Proceedings of the Japan Academy Series A Mathematical Sciences, Compositio Mathematica, Proceedings of the London Mathematical Society, and Advances in Mathematics.

Recent publications by Masaki Kashiwara include:

  • Monoidal categorification and quantum affine algebras, 2020, Compositio Mathematica
  • Monoidal categorification and quantum affine algebras II, 2024, Inventiones mathematicae
  • PBW theory for quantum affine algebras, 2023, Journal of the European Mathematical Society
  • Simply laced root systems arising from quantum affine algebras, 2022, Compositio Mathematica
  • Cluster algebra structures on module categories over quantum affine algebras, 2022, Proceedings of the London Mathematical Society

Masaki Kashiwara has collaborated frequently with other researchers, notably Se-jin Oh, Euiyong Park, Myungho Kim, Andrea D'Agnolo, and Pierre Schapira.

Among the awards received, the Kyoto Prize in Mathematical Sciences was awarded in 2018, recognizing contributions related to the advancement of D-module Theory. Another acknowledgment is from the Academie des sciences, France, awarded in 2002.

Best Publications

  • Sheaves on Manifolds

    Masaki Kashiwara;Pierre Schapira

  • On crystal bases of the $Q$-analogue of universal enveloping algebras

    Unknown

  • TRANSFORMATION GROUPS FOR SOLITON EQUATIONS

    Etsuro Date;Masaki Kashiwara;Tetsuji Miwa;Michio Jimbo

  • Crystalizing the $q$-analogue of universal enveloping algebras

    Masaki Kashiwara

  • Crystal Graphs for Representations of the q-Analogue of Classical Lie Algebras

    Masaki Kashiwara;Toshiki Nakashima

  • On the Segal-Shale-Weil representations and harmonic polynomials

    M. Kashiwara;M. Kashiwara;M. Vergne;M. Vergne

  • B-Functions and Holonomic Systems. Rationality of Roots of B-Functions

    Masaki Kashiwara

  • Operator Approach to the Kadomtsev-Petviashvili Equation —Transformation Groups for Soliton Equations III—

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • Kazhdan-Lusztig Conjecture and Holonomic Systems.

    J. L. Brylinski;M. Kashiwara

  • Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • The crystal base and Littelmann’s refined Demazure character formula

    Masaki Kashiwara

  • On level-zero representation of quantized affine algebras

    Masaki Kashiwara

  • The Riemann-Hilbert Problem for Holonomic Systems

    Masaki Kashiwara

  • Transformation Groups for Soliton Equations —Euclidean Lie Algebras and Reduction of the KP Hierarchy—

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • Global crystal bases of quantum groups

    Masaki Kashiwara

  • AFFINE CRYSTALS AND VERTEX MODELS

    Seok-Jin Kang;Masaki Kashiwara;Kailash C. Misra;Tetsuji Miwa

  • Geometric construction of crystal bases

    Masaki Kashiwara;Yoshihisa Saito

  • Crystal bases of modified quantized enveloping algebra

    Masaki Kashiwara

  • KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

    Etsuro Date;Michio Jimbo;Masaki Kashiwara;Tetsuji Miwa

  • D-Modules and Microlocal Calculus

    Masaki Kashiwara

  • Perfect crystals of quantum affine Lie algebras

    Seok-Jin Kang;Masaki Kashiwara;Kailash C. Misra;Tetsuji Miwa

Frequent Co-Authors

Tetsuji Miwa
Tetsuji Miwa Kyoto University
Michio Jimbo
Michio Jimbo Rikkyo University
Michèle Vergne
Michèle Vergne Institut de Mathématiques de Jussieu
Masato Okado
Masato Okado Osaka Metropolitan University
Nolan R. Wallach
Nolan R. Wallach University of California, San Diego
Mark Shimozono
Mark Shimozono Virginia Tech
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
Edward Frenkel
Edward Frenkel University of California, Berkeley
Raphaël Rouquier
Raphaël Rouquier University of California, Los Angeles

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