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J-GLOBAL ID：200901058200985059   Update date: Feb. 01, 2024

Nakajima Hiraku

ナカジマ ヒラク | Nakajima Hiraku
Affiliation and department：
The University of Tokyo Kavli Institute for the Physics and Mathematics of the Universe

About The University of Tokyo Kavli Institute for the Physics and Mathematics of the Universe


Other affiliations (1)：
  • Kyoto University  Research Institute for Mathematical Sciences   Project professor
Homepage URL  (1)： https://member.ipmu.jp/hiraku.nakajima/
Research field  (1)： Algebra
Research keywords  (2)： Algebraic Geometry ,  Representation Theory
Research theme for competitive and other funds  (64)：
  • 2019 - 2022 Vertex algebras and 4-dimensional supersymmetric quantum field theories
  • 2016 - 2021 New development of algebraic geometry viewed from theoretical physics
  • 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
  • 2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
  • 2011 - 2016 Proof of Homological Mirror Symmetry
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Papers (94)：
  • Hiraku Nakajima, Alex Weekes. Coulomb branches of quiver gauge theories with symmetrizers. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. 2023. 25. 1. 203-230
  • Alexander Braverman, Michael Finkelberg, Hiraku Nakajima. Kazhdan-Lusztig conjecture via zastava spaces. Journal fur die Reine und Angewandte Mathematik. 2022. 2022. 787. 45-78
  • Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Journal of Geometry and Physics. 2021. 168. 104311-104311
  • Hiraku Nakajima. Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras. Kyoto Journal of Mathematics. 2021. 1. 1. 1-21
  • Alexander Braverman, Michael Finkelberg, Hiraku Nakajima. Line bundles on Coulomb branches. Advances in Theoretical and Mathematical Physics. 2021. 25. 4. 957-993
ｍore...
MISC (16)：
  • 望月 拓郎, 中島 啓. 望月拓郎さんへのインタビュー 朝日賞受賞を祝して. 数学通信 / 日本数学会 編. 2021. 26. 2. 31-40
  • 中島 啓. 荒川知幸氏の平成31年度文部科学大臣表彰科学技術賞受賞に寄せて. 数学通信 / 日本数学会 編. 2019. 24. 3. 16-19
  • 中島 啓. 4次元ゲージ理論と2次元共形場理論 : AGT予想の数学的背景-特集 超弦理論の数理 : 最先端の数学が拓く新たな自然像. 数理科学. 2012. 50. 10. 13-19
  • 中島 啓. 数学の道しるべ--研究者の道とは何か(19・最終回)私の微分幾何学者時代. 数理科学. 2010. 48. 12. 76-83
  • 中島 啓. インスタントンと表現論. 数理物理 私の研究. 2010. 2
ｍore...
Books (2)：
  • Lecfures on Hilbert schemes of points on surfaces
    American Mathematical Society, 1999
  • 非線形問題と複素幾何学
    岩波書店 1999 ISBN:4000058800
Lectures and oral presentations  (102)：
  • Coulomb branches and DAHA
    (Quantum Field Theories and Representation Theory 2023)
  • Coulomb branches and DAHA
    (The Geometry of Double Affine Hecke Algebras and Coulomb Branches 2023)
  • Coulomb branches of orthosymplectic quiver gauge theories
    (Gauge Theory, Moduli Spaces and Representation Theory)
  • Orthosymplectic bow varieties
    (Hyperkahler quotients, singularities, and quivers 2023)
  • Coulomb branches of orthosymplectic quiver gauge theories
    (Workshop on interactions between representation theory, combinatorics, and geometry 2023)
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Professional career (2)：
  • Doctor of Science (The University of Tokyo)
  • Master of Science (The University of Tokyo)
Work history (7)：
  • 2018/04 - 現在 The University of Tokyo Kavli Insitute for the Physics and Mathematics of the Universe Professor
  • 2008/10 - 2018/03 Kyoto University Research Institute for Mathematical Sciences Professor
  • 2000/12 - 2008/09 Kyoto University Graduate School of Sciences Professor
  • 1997/04 - 2000/09 Kyoto University Graduate School of Sciences Associate Professor
  • 1995/04 - 1997/03 The University of Tokyo Graduate School of Mathematical Sciences Associate Professor
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Awards (6)：
  • 2016 - The Asahi Shimbun Company Asahi Prize For geometric representation theory and its contribution to mathematical physics
  • 2014 - The Japan Academy the Japan Academy Prize Geometric Representation Theory and Theoretical Physics
  • 2006 - Japan Society for the Promotion of Science JSPS Prize Revolutionary Development of Geometric Representation Theory
  • 2003 - American Mathematical Society, Cole Prize in Algebra
  • 2000 - The spring Prize of the Mathematical Society of Japan
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Association Membership(s) (1)：
Mathematical Society of Japan
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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