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KUROKI Gen  黒木 玄

ORCIDConnect your ORCID iD *help
Researcher Number 10234593
Other IDs
Affiliation (Current) 2020: 東北大学, 理学研究科, 助教
Affiliation (based on the past Project Information) *help 2016: 東北大学, 大学院理学研究科, 助教
2011 – 2015: 東北大学, 理学(系)研究科(研究院), 助教
2013: 東北大学, 大学院・理学研究科, 助教
2009: 東北大学, 大学院・理学研究科, 助教
2007: 東北大学, 大学院・理学研究科, 助教 … More
2006: Tohoku University, Graduate School of Science, Research Assistant, 大学院理学研究科, 助手
2004 – 2005: 東北大学, 大学院・理学研究科, 助手
2001: Tohoku University, Mathematical Institute, Research Assistant, 大学院・理学研究科, 講師
1996 – 2001: 東北大学, 大学院・理学研究科, 助手
1998: 東北大学, 大学院理学研究科, 助手
1995: 東北大学, 理学研究科, 助手
1992 – 1994: 東北大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Global analysis
Except Principal Investigator
Algebra / Global analysis / Algebra / 代数学・幾何学 / Geometry / Global analysis
Keywords
Principal Investigator
共形場理論 / アフィン・リー環 / 量子群 / conformal field theory / affine Lie algebra / ラングランズ・プログラム / 表現論 / パンルヴェ方程式 / 可積分系 / quantum group … More / 脇本表現 / カッツ・カズダン予想 / 無限次元リー環 / 臨界レベル / リーマン面 / Riemann surface / Langlands program / Wess-Zumino-Wittenn / 量子可積分系 / Gaudin-Calogero / Bethe Ansatz / 楕円曲線 / リー代数 / R行列 / 保型形式 / 量子パンルヴェ系 / カッツ・ムーディ代数 / ワイル群双有理作用 / ベックルント変換 / τ函数 / Yang-Baxter方程式 / 量子共形場理論 / アフィンLie環 / 可積系 / ヤン・バクスター方程式 / 楕円R行列 / ルイセナ-ス系 / 差分可積分系 / WZW模型 / integrable system / Yang-Baxter equation / quantum conformal field theory / モノドロミー保存変形 / パンルヴェ系 / 離散化 / 量子化 / 超離散化 / integrable systems / isomonodromic systems / Painleve systems / discretization / quantization … More
Except Principal Investigator
量子群 / パンルヴェ方程式 / 可積分系 / 可解格子模型 / ヤン・バクスター方程式 / 表現論 / ソリトン / モノドロミー保存変形 / 離散化 / 固有値 / アフィンリー環 / ホロノミー系 / トーリック多様体 / 超幾何型微分方程式 / 交叉ホモロジー / カノニカル基底 / Yang-Baxter方程式 / 共形場 / 共形場理論 / ソリトン系 / 対称性 / 量子化 / 差分化 / パンルベ方程式 / 非線形 / ランダム行列 / パンルヴェ型方程式 / モノドロミー保存系 / 数理物理 / タイヒミュラー空間 / エルゴード性 / スペクトラム / 量子エルゴード性 / ラプラシアン / ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / 可解模型 / 組み合わせ論 / 組み合せ論 / 代数解析 / 量子郡 / 特殊凾数 / 対称空間 / representation theory / quantum groups / solvable models / combinatorics / 離散的ラプラシアン / 結晶格子 / 中心極限定理 / ハーパー作用素 / アルバネーゼ写像 / 標準的実現 / グラフの調和写像 / 格子振動 / 離散幾何学 / グラフ / スペクトル幾何 / Discrete Laplacian / Crystal Lattice / Harper Operator / Central Limit Theorem / 対称対 / 線型代数群 / ラングランズ対応 / 相対跡公式 / アフィン類似 / 標数2の体 / 対称多様体 / 標数2の体上の代数群 / 佐武図式 / 制限ルート系 / 代数群 / シュバレー群 / 楕円曲線 / L-関数 / 超幾何関数 / 超局所化 / 構成可能層 / 対合 / 簡約代数群 / L関数の零点 / Symmetric Pairs / Linear Algelvaic Groups / Involutions / Relative Trace Formake / Affineanalogues / カロジェロ系 / 離散パンルベ系 / Yang-Baxter eq. / Calogero systems / Panlev'e type eq. / Integrable systems / アフィンワイル群 / Schur関数 / ワイル群 / Integrable Systems / Affine Weyl groups / Painleve equation / Monodromy / Quantum groups Less
  • Research Projects

    (17 results)
  • Research Products

    (11 results)
  • Co-Researchers

    (33 People)
  •  Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice models

    • Principal Investigator
      Hasegawa Koji
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Representation theoretic research of Painleve systemsPrincipal Investigator

    • Principal Investigator
      Kuroki Gen
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller space

    • Principal Investigator
      HASEGAWA Koji
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Quantization of difference nonlinear equation of Painleve type

    • Principal Investigator
      HASEGAWA Koji
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Discretization and quantization of integrable and isomonodromic systemsPrincipal Investigator

    • Principal Investigator
      KUROKI Gen
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Study of Classical and Quantum Integrable Systems and their discretizations

    • Principal Investigator
      HASEGAWA Koji
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  量子可積分系の表現論的研究Principal Investigator

    • Principal Investigator
      黒木 玄
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMS

    • Principal Investigator
      HASEGAWA Koji
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Fundamental Research of Discrete Geometric Analysis and Its Applications

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  SYMMETRIC PAIRS

    • Principal Investigator
      UZAWA Tooru
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      RIKKYO UNIVERSITY
  •  Algebraic analysis of representation theory

    • Principal Investigator
      KASHIWARA Masaki
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY, RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
  •  Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator

    • Principal Investigator
      KUROKI Gen, 長谷川 浩司
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  STUDY ON QUANTUM ERGODIC THEORY

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOHOKU UNIVERSITY
  •  共形場理論の表現論的研究Principal Investigator

    • Principal Investigator
      黒木 玄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tohoku University
  •  共形場理論への保型形式論的アプローチPrincipal Investigator

    • Principal Investigator
      黒木 玄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  共形場理論及び可解格子模型に現れる特殊函数

    • Principal Investigator
      長谷川 浩司
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tohoku University
  •  代数的手法による表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University

All 2015 2014 2013 2012 Other

All Journal Article Presentation

  • [Journal Article] Quantum groups and quantization of Weyl group symmetries of Painlev'e system

    • Author(s)
      G Kuroki
    • Journal Title

      Advanced Studies in Pure Mathematics (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540207
  • [Presentation] Painleve系のτ函数の正準量子化について2015

    • Author(s)
      黒木玄
    • Organizer
      日本数学会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540003
  • [Presentation] パンルヴェ系τ 函数の量子化について2014

    • Author(s)
      黒木玄
    • Organizer
      東京可積分系セミナー
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2014-02-15
    • Data Source
      KAKENHI-PROJECT-23540004
  • [Presentation] パンルヴェ系のτ函数の量子化について2014

    • Author(s)
      黒木玄
    • Organizer
      第9回駒場幾何学的表現論と量子可積分系のセミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540003
  • [Presentation] 互いに素なm,nに対するA_m型とA_n型の拡大アフィンWeyl群の直積の双有理作用の量子化2013

    • Author(s)
      黒木玄
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-23540003
  • [Presentation] 互いに素なm, n に対する拡大アフィンWeyl 群の直積$¥widetilde{W}(A^{(1)}_{m-1})¥times¥ widetilde{W}(A^{(1)}_{n-1})$の双有理作用の量子化2013

    • Author(s)
      黒木玄
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-22
    • Data Source
      KAKENHI-PROJECT-23540004
  • [Presentation] Weyl 群双有理作用とτ函数の量子化-量子化されたτ函数の正則性2013

    • Author(s)
      黒木玄
    • Organizer
      日本数学会「無限可積分系セッション」一般講演
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2013-03-28
    • Data Source
      KAKENHI-PROJECT-23540004
  • [Presentation] 量子Weyl 群双有理作用のSato-Wilson 表示2012

    • Author(s)
      黒木玄
    • Organizer
      日本数学会「無限可積分系セッション」一般講演
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2012-09-18
    • Data Source
      KAKENHI-PROJECT-23540004
  • [Presentation] 量子Weyl群双有理作用のSato-Wilson表示2012

    • Author(s)
      黒木玄
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学伊都キャンパス
    • Data Source
      KAKENHI-PROJECT-23540003
  • [Presentation] Weyl群双有理作用とτ函数の量子化―量子化されたτ函数の正則性2012

    • Author(s)
      黒木玄
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Data Source
      KAKENHI-PROJECT-23540003
  • [Presentation] パンルヴェ系τ函数の量子化について

    • Author(s)
      黒木玄
    • Organizer
      東京可積分系セミナー
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540004
  • 1.  HASEGAWA Koji (30208483)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  KIKUCHI Tetsuya (00374900)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  NAGOYA Hajime (80447367)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  SUNADA Toshikazu (20022741)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  SAITO Kazuyuki (60004397)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  YAMADA Yasuhiko (00202383)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  堀田 良之 (70028190)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  中島 啓 (00201666)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  石田 正典 (30124548)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  小田 忠雄 (60022555)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  NAYATANI Shin (70222180)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KASHIWARA Masaki (60027381)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  GYOJA Akihiko (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  MIWA Tetsuji (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  寺田 至 (70180081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  小池 和彦 (70146306)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  山田 裕史 (40192794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  谷崎 俊之 (70142916)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  中島 俊樹 (60243193)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  中屋敷 厚 (10237456)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  織田 孝幸 (10109415)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KOTANI Motoko (50230024)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  藤原 耕二 (60229078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  中野 史彦 (10291246)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  新井 仁之 (10175953)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  UZAWA Tooru (40232813)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  YAMADA Yuuji (40287917)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  AOKI Noboru (30183130)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  FUJII Akio (50097226)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  IKEDA Takeshi (40309539)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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