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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:
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
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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)
more...
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
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