KUROKI Gen 黒木玄

Researcher Number	10234593
Other IDs
Affiliation (Current)	2023: 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

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] 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] 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
- 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] 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] 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

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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

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15. MIWA Tetsuji (10027386)

# of Collaborated Projects: 1 results

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16. OKADA Soichi (20224016)

# of Collaborated Projects: 1 results

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17. 寺田至 (70180081)

# of Collaborated Projects: 1 results

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18. 小池和彦 (70146306)

# of Collaborated Projects: 1 results

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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

KUROKI Gen 黒木 玄

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Representation theoretic research of Painleve systemsPrincipal Investigator

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Discretization and quantization of integrable and isomonodromic systemsPrincipal Investigator

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量子可積分系の表現論的研究Principal Investigator

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Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator

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共形場理論の表現論的研究Principal Investigator

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共形場理論への保型形式論的アプローチPrincipal Investigator

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KUROKI Gen 黒木玄