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Lists the articles by the Abel Prize winner, Masaki Kashiwara, RIMS project professor and KUIAS program-specific professor, are open

 On 2025-04-11 (6923 reads)
Masaki Kashiwara - Abel Prize Laureate 2025
Copyright holder: Peter Badge/Typos1/The Abel Prize

In May 26th, 2025, Masaki Kashiwara, Research Institute for Mathematical Sciences (RIMS) project professor and Kyoto University Institute for Advanced Study (KUIAS) program-specific professor, who makes great contribution to algebraic analysis and representation theory, has been announced as the winner of the Abel Prize.

To commemorate the win of the Abel Prize, we introduce his recent 7 articles on D-modules and quantum groups, which led to the award. As well, Prof. Kashiwara's articles which published on the Kyoto University Research Information Repository (KURENAI) are listed below.
※Update of articles lists coming soon.

    ◆Key Publications (recent 7 articles)

    Click to read the articles.
    ※We are grateful RIMS for the cooperation of listing the articles and publishing them on KURENAI.

    Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong.
    Affinizations, R-matrices and reflection functors.
    Advances in Mathematics, 443 (2024), 109598.
    View at journal publisher: https://doi.org/10.1016/j.aim.2024.109598

    Kashiwara, Masaki, Oh, Se-jin.
    t-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras.
    Advances in Mathematics, 441 (2024), 109551.
    View at journal publisher: https://doi.org/10.1016/j.aim.2024.109551

    Kashiwara, Masaki, Park, Euiyong.
    Categorical crystals for quantum affine algebras.
    Journal für die reine und angewandte Mathematik (Crelles Journal), 2022 (2022), 223–267.
    View at journal publisher: https://doi.org/10.1515/crelle-2022-0061

    D’Agnolo, Andrea, Kashiwara, Masaki.
    On a topological counterpart of regularization for holonomic D-modules.
    Journal de l’École polytechnique — Mathématiques, 8 (2021), 27–55.
    View at journal publisher: https://doi.org/10.5802/jep.140

    D’Agnolo, Andrea, Kashiwara, Masaki.
    Riemann-Hilbert correspondence for holonomic     D-modules.
    Publications mathématiques de l'IHÉS, 123 (2016), 69–197.
    View at journal publisher: https://doi.org/10.1007/s10240-015-0076-y

    Kashiwara, Masaki.
    Riemann–Hilbert correspondence for irregular holonomic D-modules.
    Japanese Journal of Mathematics, 11 (2016), 113–149.
    View at journal publisher: https://doi.org/10.1007/s11537-016-1564-7

    Grantcharov, Dimitar, Jung, Ji Hye, Kang, Seok-Jin, Kashiwara, Masaki, Kim, Myungho.
    Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux.
    Transactions of the American Mathematical Society, 366 (2014), 457–489.
    View at journal publisher: https://doi.org/10.1090/S0002-9947-2013-05866-7

    ◆Articles published in KURENAI

    Click to read the articles.
    ※We are grateful RIMS for the cooperation of listing the articles and and publishing them on KURENAI.

    Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong.
    Localizations for quiver Hecke algebras III.
    Mathematische Annalen, 390 (2024), 5075–5108.

    Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong.
    Laurent family of simple modules over quiver Hecke algebras.
    Compositio Mathematica, 160 (2024), 1916–1940.

    Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong.
    Monoidal categorification and quantum affine algebras II.
    Inventiones mathematicae, 236 (2024), 837–924.

    Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong.
    PBW theory for quantum affine algebras.
    Journal of the European Mathematical Society, 26 (2023), 2679–2743.

    Kashiwara, Masaki, Schapira, Pierre.
    Microlocal Euler classes and Hochschild homology.
    Journal of the Institute of Mathematics of Jussieu, 13 (2014), 487–516.

    Kashiwara, Masaki.
    Biadjointness in Cyclotomic Khovanov–Lauda–Rouquier Algebras.
    Publications of the Research Institute for Mathematical Sciences, 48 (2012), 501–524.

    Enomoto, Naoya, Kashiwara, Masaki.
    SYMMETRIC CRYSTALS AND LLTA TYPE CONJECTURES FOR THE AFFINE HECKE ALGEBRAS OF TYPE B (Combinatorial Representation Theory and Related Topics).
    数理解析研究所講究録別冊, B8 (2008), 1–20.

    柏原正樹, 中島俊樹, 尾角正人.
    幾何クリスタルと可積分系(可積分系数理の眺望).
    数理解析研究所講究録, 1541 (2007), 150–165.

    Kashiwara, Masaki, Schapira, Pierre.
    Laplace tranform and Fourier-Sato transform.
    数理解析研究所講究録, 983 (1997), 33–35.

    柏原正樹, 河合隆裕.
    ホッジ構造の変動と交叉コホモロジー群(代数解析学の現況).
    数理解析研究所講究録, 594 (1986), 22–29.

    伊達悦朗, 神保道夫, 柏原正樹, 三輪哲二.
    Landau-Lifschitz Equationについて (Recent development in gauge theory and integrable systems).
    数理解析研究所講究録, 469 (1982), 94–100.

    伊達悦朗, 神保道夫, 柏原正樹, 三輪哲二.
    KdV方程式とアファインリー代数A₁⁽¹⁾ (テータ関数・ジーゲルモジュラ形式とその周辺).
    数理解析研究所講究録, 447 (1981), 108–116.

    柏原正樹.
    Holonomic Systemの制限とCharacteristic Variety (微分方程式の超局所解析).
    数理解析研究所講究録, 431 (1981), 83–89.

    柏原正樹, 神保道夫, 三輪哲二.
    ∆u = uの解の変形 (微分方程式の超局所解析).
    数理解析研究所講究録, 431 (1981), 73–77.

    柏原正樹.
    極大過剰決定系とその解層の対応について (代数解析学の最近の発展).
    数理解析研究所講究録, 361 (1979), 116–130.

    柏原正樹, 河合隆裕.
    Micro-Microlocal Analysisの基礎 (代数解析学の最近の発展).
    数理解析研究所講究録, 361 (1979), 106–115.

    柏原正樹, 河合隆裕.
    確定特異点型極大過剰決定系の特性多様体について (線型微分方程式の超局所解析).
    数理解析研究所講究録, 355 (1979), 36–38.

    柏原正樹, 河合隆裕.
    確定特異点型の極大過剰決定系について (超函数と線型微分方程式 VI).
    数理解析研究所講究録, 341 (1978), 180–181.

    柏原正樹, 河合隆裕.
    形式解が常に収束する線型微分方程式のあるクラスについて (超函数と線型微分方程式 VI).
    数理解析研究所講究録, 341 (1978), 70–71.

    柏原正樹, 河合隆裕.
    Feynman積分間のHierarchyと擬微分作用素 (超函数と線型微分方程式 V).
    数理解析研究所講究録, 287 (1977), 53–53.

    佐藤幹夫, 三輪哲二, 柏原正樹.
    Microlocal Study of Infinite Systems (超函数と線型微分方程式 IV).
    数理解析研究所講究録, 248 (1975), 261–292.

    佐藤幹夫, 三輪哲二, 柏原正樹, 室政和.
    Imaginary Lagrangeanが現われる場合のFourier変換 (超函数と線型微分方程式 IV).
    数理解析研究所講究録, 248 (1975), 212–260.

    柏原正樹, 三輪哲二.
    Microlocal Calculusと概均質ベクトル空間の相対不変式のFourier変換 (概均質ベクトル空間の理論とその応用).
    数理解析研究所講究録,     238 (1975), 60–147.

    柏原正樹, 河合隆裕.
    楕円型境界値問題の理論とその応用 (概均質ベクトル空間の理論とその応用).
    数理解析研究所講究録, 238 (1975), 1–59.

    柏原正樹, 河合隆裕.
    隠された境界条件 (超函数と線型微分方程式 III).
    数理解析研究所講究録, 227 (1975), 39–41.

    Kashiwara, Masaki.
    Theory of Differential Equations with Regular Singularity and Eigen-Functions of Laplacian of Symmetric Spaces (超函数と線型微分方程式 III).
    数理解析研究所講究録, 227 (1975), 33–38.

    柏原正樹, 木村達雄.
    極大過剰決定系と概均質ベクトル空間のb-函数 (代数解析学とその応用).
    数理解析研究所講究録, 226 (1975), 168–214.

    柏原正樹, 河合隆裕.
    単一特性的でない場合の浜田の定理について (代数解析学とその応用).
    数理解析研究所講究録, 226 (1975), 105–113.

    Kashiwara, Masaki, Kawai, Takahiro, Oshima, Toshio.
    Structure of Cohomology Groups Whose Coefficients Are Micro-Function Solution Sheaves of Systems of Pseudo-differential Equations with Multiple Characteristics. I. (代数解析学とその応用).
    数理解析研究所講究録, 226 (1975), 49–62.

    柏原正樹, 三輪哲二.
    b函数と超曲面の特異性 (超曲面の特異点とb函数).
    数理解析研究所講究録, 225 (1975), 16–53.

    Kashiwara, Masaki, Kawai, Takahiro.
    Micro-Hyperbolic Pseudo-Differential Operators (超函数と線型微分方程式 II).
    数理解析研究所講究録, 209 (1974), 87–99.

    Kashiwara, Masaki.
    On the Maximally Overdetermined System of Linear Differential Equations (I) (超函数と線型微分方程式 II).
    数理解析研究所講究録, 209 (1974), 35–62.

    柏原正樹, 河合隆裕.
    楕円型方程式系の境界値問題 (超函数と線型微分方程式 II).
    数理解析研究所講究録, 209 (1974), 26–34.

    Sato, Mikio, Kawai, Takahiro, Kashiwara, Masaki.
    On Pseudo-Differential Equations in Hyperfunction Theory (超函数と解析汎函数の理論と応用).
    数理解析研究所講究録, 162 (1972), 136–144.

    柏原正樹.
    C-双曲型定数係数偏微分作用素について (超函数論と偏微分方程式の理論).
    数理解析研究所講究録, 145 (1972), 168–171.

    Kashiwara, Masaki.
    A Remark on Characters of Unitary Representations of Semi-Simple Lie Groups (表現論と大域解析学).
    数理解析研究所講究録, 135 (1972), 10–14.

    柏原正樹.
    CのFlabbynessとRadon変換 (佐藤の超函数とその応用).
    数理解析研究所講究録, 114 (1971), 1–4.

    柏原正樹.
    超函数論と代数的基礎付け (佐藤の超函数論とその周辺).
    数理解析研究所講究録, 108 (1971), 58–71.

    ◆Ph.D. Dissertation

    Click to read the articles.

    Kashiwara, Masaki.
    On the maximally overdetermined system of linear differential equations.
    京都大学 理学博士 論理博第467号 (1974), 28p.

    Relative websites:

    ◆Personal webpage of Prof. Kashiwara: https://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/

    ◆Preprint server (arXiv): https://arxiv.org/find/all/1/au:+kashiwara/0/1/0/all/0/1

    ◆KURENAI (the Kyoto University Research Information Repository)

    -  More than 240,000 archives published by researchers in Kyoto University are available.

    ◆E-Journals published by Kyoto University on KURENAI

    - More than 350 journals published by Kyoto University are available. [Repository Section, Research Support Division, Kyoto University Library]


    2025/05/08－Articles have been updated.

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