KUROKI Gen 黒木玄

Researcher Number	10234593
Other IDs
Affiliation (Current)	2019: 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
Review Section/Research Field	Principal Investigator Algebra / Algebra / Global analysis Except Principal Investigator Algebra / Algebra / Global analysis / Geometry / Global analysis / 代数学・幾何学
Keywords	Principal Investigator 共形場理論 / アフィン・リー環 / 量子群 / 表現論 / quantum group / affine Lie algebra / 可積分系 / パンルヴェ方程式 / conformal field theory / ラングランズ・プログラム … 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 / アフィンリー環 / 離散化 / 表現論 / ソリトン / モノドロミー保存変形 / 固有値 / 相対跡公式 / 共形場理論 / Integrable Systems / Discrete Laplacian / ラングランズ対応 / Involutions / 対称多様体 / 代数解析 / 離散パンルベ系 / Schur関数 / quantum groups / パンルヴェ型方程式 / representation theory / Central Limit Theorem / 超局所化 / 佐武図式 / シュバレー群 / Crystal Lattice / 組み合せ論 / 対合 / Yang-Baxter eq. / L関数の零点 / 量子エルゴード性 / QUANTUM ERGODICITY / スペクトル幾何 / 線型代数群 / 可解模型 / Quantum groups / 格子振動 / 非線形 / 特殊凾数 / 標数2の体上の代数群 / 対称空間 / 中心極限定理 / 標準的実現 / SPECTRUM / ワイル群 / 量子郡 / カノニカル基底 / 超幾何型微分方程式 / 対称対 / Affineanalogues / 差分化 / Harper Operator / 構成可能層 / Linear Algelvaic Groups / グラフの調和写像 / Yang-Baxter方程式 / Painleve equation / 離散的ラプラシアン / アルバネーゼ写像 / 量子化 / Symmetric Pairs / combinatorics / solvable models / スペクトラム / Relative Trace Formake / Integrable systems / 対称性 / Panlev'e type eq. / パンルベ方程式 / カロジェロ系 / 制限ルート系 / 交叉ホモロジー / トーリック多様体 / 標数2の体 / 楕円曲線 / EIGENVALUES / 組み合わせ論 / 結晶格子 / ラプラシアン / 超幾何関数 / 簡約代数群 / 数理物理 / L-関数 / ERGODICITY / 共形場 / タイヒミュラー空間 / 代数群 / モノドロミー保存系 / ホロノミー系 / 離散幾何学 / Calogero systems / ハーパー作用素 / アフィンワイル群 / アフィン類似 / ランダム行列 / Affine Weyl groups / エルゴード性 / ソリトン系 / グラフ / Monodromy 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

# 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

KUROKI Gen 黒木 玄

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theoretic research of Painleve systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Discretization and quantization of integrable and isomonodromic systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

量子可積分系の表現論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

共形場理論の表現論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

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

Principal Investigator

KUROKI Gen 黒木玄