Matsuo Atsushi 松尾厚

… Alternative Names

MATSUO Atsushi 松尾厚

松尾厚マツオアツシ

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Researcher Number	20238968
Other IDs
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2014 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授 2012: 東京大学, 数理(科)学研究科(研究院), 准教授 2008 – 2012: 東京大学, 数理科学研究科, 准教授 2007 – 2008: The University of Tokyo, 大学院・数理科学研究科, 准教授 2006: The University of Tokyo, Department of Mathematical Sciences, Associate Professor, 大学院数理科学研究科, 助教授 … More 1999 – 2005: 東京大学, 大学院・数理科学研究科, 助教授 2002: 東京大学, 大学院・数理科学研究科, 教授 1994 – 1996: 東京大学, 大学院・数理科学研究科, 助教授 1992 – 1993: 名古屋大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 解析学 Except Principal Investigator 解析学 / Algebra / Algebra / Geometry / Geometry
Keywords	Principal Investigator 共形場理論 / 頂点作用素代数 / ムーンシャイン / 頂点作用素 / 普遍展開環 / 自己同型群 / モンスター / Riemann surface / Lie algebra / Morita equivalence … More / finite-dimensional algebra / conformal field theory / universal enveloping algebra / vertex operator algebra / トリプレット代数 / ポアソン代数 / Riemann面 / Lie代数 / 森田同値 / 有限次元代数 / マシュー群 / コンウェイ群 / 極小巾零軌道 / 単純リー環 / デザイン / 表現論 / 数理物理 / 代数学 / 代数一般 / 有限群 / Griess代数 / 圏同値 / Fischer空間 / Virasoro代数 / 3互換群 / アフィン・リー代数 / 有限単純群 / 超共形代数 / モジュラー形式 / W代数 / 頂点代数 / ハイゼンベルク代数 / 自由ボゾン / カイラル代数 / ビラソロ代数 / KZ方程式 / ジャクソン積分 / 量子群 / q-変形 / 超幾何関数 / アフィン量子群 / Fock表現 / 自由場表示 … More Except Principal Investigator hyperkahler manifold / 超ケーラー多様体 / K3曲面 / reflection group / 無限次元リー環 / 原始形式 / エータ関数 / 鏡映群 / semi-algebraic geometry / 頂点作用素代数 / 不連続群 / almost abelian group / tree group / entropy / Mordell-Weil group / Salem polynomial / birational automorphism / K3 surfaces / サーレム数 / 自己双有理型変換群 / リーチ格子 / 6次交代群 / 有限可解群 / 双有理変換群 / 準アーベル群 / 非可換自由群 / エントロピー / モーデル・ヴェイユ群 / サーレム多項式 / 双有理型変換群 / partition function / discontinuous group / derived category / matrix factorization / Lie algebra / primitive forms / ルート系 / 組み紐群 / Hook length formula / コクセター変換 / 対数型微分形式 / エータ積 / 正規ウエイト系 / 基本群 / 対数的自由因子 / 三角圏 / 正規ウェイト系 / 極限集合 / 分配関数 / 導来圏 / 行列分解 / リー環 / Modular tensor category / Moduli space / Pointed Riemann surface / Conformal field Theory / Verlinde公式 / カイラル代数 / 表現論 / 無限次元代数 / D-加群 / テンソル圏 / 位相不変量 / リーマン面 / 点付きリーマン面 / モジュラーなテンソル圏 / モジュライ空間 / 点つきリーマン面 / 共形場理論 / Kummer structure / Mordel-Weil lattice / auromorphism group / Fourier-Mukai partner / Picard number / deformation / k3 surface / シンプルティック同相群 / モノドロミー群 / ミラー族 / フーリエー向井パートナー / 1次元小変形 / 有限自己同型群 / モンスター / クンマー曲面 / フーリエ-向井対 / アーベル曲面 / 有限単純群 / 小平問題 / フェルマー4次元曲面 / クンマー構造 / モーデルヴェイユ格子 / 自己同型群 / フーリエー向井対 / ピカール数 / 変形 / elliptic Lie algebra / flat structure / primitive form / braid group / elliptic root system / Peter-Weyl定理 / Bruhat分解 / 拡大アフィン・ルート系 / 周期写像 / フロベニウス多様体 / 周期積分 / ブロック代数 / 最高ウエイト表現 / 拡大ハイパボリックルート系 / 楕円Lie環 / highest weight表現 / 楕円リー環 / 平坦構造 / 原子形式 / ブレイド群 / 楕円ルート系 / symmetries / Backlund Trqnsformation / Affine Weyl groups / Bilinear Forms / Garnier systems / Painleve equations / Nonliear CIS / Integrable system / ソリトンセルオートマトン / 離散化と超離散化 / KP方程式 / シューア関数 / 代数幾何学符号 / 非線形完全積分可能系 / パンルヴェ階層 / 楕円曲線 / 代数解 / 多変数特殊関数 / 初期値空間 / 組み合わせ論 / 完全積分可能素 / 双線形形式 / 非線完全積分可能系 / 対称性 / 双称形型式 / 非線型完全積可能系 / ベックルント変換 / アフィンワイル群 / 双線形型式 / ガルニエ系 / パンルヴェ方程式 / 非線型完全積分可能系 / 可積分系 / カイラルD加群 / 指標公式 / 国際情報交流 / 群の表現論 / 随伴多様体 / 臨界レベル / カイラル微分作用素 / 国際研究者交流 / 国際情報交換 / 国際研究者交流　ドイツ、アメリカ、台湾 / W代数 / 頂点代数 / アフィンリー環 / W 代数 / 超幾何関数 / 分岐理論 / コホモロジー群 / 差分方程式 / 調和関数 / ホロノミック系 / 不変式 / 多面体 / 不変微分方程式 / 球函数 / 等質空間 / Whittaker関数 / L-関数 / モジライ空間 / 核型空間 / ガウス空間 / 生成・消滅演算子 / 超関数 / フォック空間 / 量子的マルチンゲール / 量子確率論 / ホワイトノイズ解析 Less

Studies on vertex operator algebras and various phenomena similar to moonshinePrincipal Investigator
- Principal Investigator
  
  MATSUO Atsushi
- Project Period (FY)
  2014 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
A comprehensive research of vertex algebras, especially the W-algebras
- Principal Investigator
  
  ARAKAWA Tomoyuki
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
  Nara Women's University
New developments in representation theories of vertex operator algebras and their applicationsPrincipal Investigator
- Principal Investigator
  
  MATSUO Atsushi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.Principal Investigator
- Principal Investigator
  
  MATSUO Atsushi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Moduli space of pointecl autrves and conismal field theory
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
The study of integrable systems and Lie algebras associated with the period maps for primitive forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Group theoretic and arithmetic aspects on K3 surfaces
- Principal Investigator
  
  OGUISO Keiji
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
有限幾何的な手法による頂点作用素代数の研究Principal Investigator
- Principal Investigator
  
  松尾厚
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Behavior of discrete invariants of algebraic varieties under deformation
- Principal Investigator
  
  OGISO Keiji
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
幾何学に関連して現れる頂点代数の研究Principal Investigator
- Principal Investigator
  
  松尾厚
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Synthetic Research on nonlinear complete integrable systems and combinatorics
- Principal Investigator
  
  OKAMOTO Kazuo
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
微分方程式の幾何学的研究
- Principal Investigator
  
  岩崎克則
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
2次元共形場理論におけるテンソル積と量子群の研究Principal Investigator
- Principal Investigator
  
  松尾厚
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
等質空間上の微分方程式系
- Principal Investigator
  
  大島利雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
モデュラー多様体と不連続群の整数論
- Principal Investigator
  
  織田孝幸
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
ホワイトノイズ解析と量子確率論
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
差分方程式の表現論的研究Principal Investigator
- Principal Investigator
  
  松尾厚
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
量子群の対称性と超幾何微分方程式Principal Investigator
- Principal Investigator
  
  松尾厚
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Nagoya University

All 2016 2015 2008 2005

All Journal Article Presentation

[Journal Article] Classification of vertex operator algebras of class S4 with minimal conformal weight one2016
- Author(s)
  H. Maruoka, A. Matsuo, H. Shimakura
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26610004
[Journal Article] 3-transposition groups of symplectic type and vertex operator algebras2005
- Author(s)
  Atsushi Matsuo
- Journal Title
  
  Journal of Mathematical Society of Japan Vol.57 No.2(未定)
- NAID
  10017177680
- Data Source
  KAKENHI-PROJECT-14740005
[Journal Article] 3-transposition groups of symplectic type and vertex operator algebras2005
- Author(s)
  A.Matsuo
- Journal Title
  
  Journal of Mathematical Society of Japan 57・3
  
  Pages: 639-649
- NAID
  10017177680
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] 3-transposition groups of symplectic type and vertex operator algebras2005
- Author(s)
  Atsushi Matsuo
- Journal Title
  
  Journal of Mathematical Society of Japan 57
  
  Pages: 639-649
- NAID
  10017177680
- Data Source
  KAKENHI-PROJECT-17540012
[Presentation] Classification of vertex operator algebras of class S4 with minimal conformal weight one2015
- Author(s)
  A. Matsuo
- Organizer
  Perspectives from vertex algebras
- Place of Presentation
  京都大学理学部（京都府京都市）
- Year and Date
  2015-07-21
- Data Source
  KAKENHI-PROJECT-26610004
[Presentation] On the transformation property of the Lie algebras associated with vertex operator algebras2008
- Author(s)
  A. Matsuo
- Organizer
  International Conference on vertex operator algebras and related areas
- Place of Presentation
  アメリカ合衆国イリノイ州立大学
- Year and Date
  2008-07-10
- Data Source
  KAKENHI-PROJECT-19540011
[Presentation] On the transformation property of the Lie algebras associated with vertex operator algebras2008
- Author(s)
  Atsushi Matsuo
- Organizer
  International Conference on vertex operator algebras and related areas
- Place of Presentation
  イリノイ州立大学(アメリカ合衆国)
- Year and Date
  2008-07-10
- Data Source
  KAKENHI-PROJECT-19540011
[Presentation] On the transformat ion property of the Lie algebras associated with vertex operator algebra2008
- Author(s)
  A. Matsuo
- Organizer
  International Conference on Vertex Operator Algebras and Related Areas
- Place of Presentation
  イリノイ州立大学
- Year and Date
  2008-07-10
- Data Source
  KAKENHI-PROJECT-20340007

1. NAGATOMO Kiyokazu (90172543)

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2. ARAKAWA Tomoyuki (40377974)

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3. ABE Toshiyuki (30380215)

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4. OGISO Keiji (40224133)

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5. KAWAMATA Yujiro (90126037)

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6. 織田孝幸 (10109415)

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7. 片岡清臣 (60107688)

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8. OKAMOTO Kazuo (40011720)

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9. YAMAUCHI Hiroshi (40452213)

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10. MIYAMOTO Masahiko (30125356)

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11. SAITO Kyoji (20012445)

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12. TAKAHASHI Atsushi (50314290)

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13. TERAO Hiroaki (90119058)

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14. OKA Matsuo (40011697)

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15. AOKI Hiroki (10333189)

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16. TERASOMA Tomohide (50192654)

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17. 尾畑伸明 (10169360)

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23. 大島利雄 (50011721)

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24. 武部尚志 (60240727)

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26. 岩崎克則 (00176538)

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27. 真島秀行 (50111456)

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28. SUZUKI Takeshi (30335294)

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29. YAMADA Hiromichi (50134888)

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30. MATUZAWA Jyunichi (00212217)

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31. KONNO Hitoshi (00291477)

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32. SATSUMA Junkichi (70093242)

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33. KATSURA Toshiyuki (40108444)

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34. KOHNO Toshitake (80144111)

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35. TAKANO Kyo-ichi (10011678)

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37. 河東泰之 (90214684)

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38. MORI Shigehumi (00093328)

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39. KASHIWARA Masaki (60027381)

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40. KONDO Shigeyuki (50186847)

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41. YOSHIKAWA Kenichi (20242810)

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42. KANEKO Masanobu (70202017)

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43. MATSUMURA Akitaka (60115938)

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44. KOGA Yoshiyuki (20338429)

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45. YAMANE Hiroyuki (10230517)

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47. 土屋昭博 (90022673)

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48. 落合啓之 (90214163)

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49. MUKAI Shigeru (80115641)

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50. SAITO Morihiko (10186968)

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51. SUWA Tatsuo (40109418)

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52. HELMKE Stefan (40293972)

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53. HOSONO Shinobu (60212198)

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Matsuo Atsushi 松尾 厚

MATSUO Atsushi 松尾 厚

松尾 厚 マツオ アツシ

Research Projects

Research Products

Co-Researchers

Studies on vertex operator algebras and various phenomena similar to moonshinePrincipal Investigator

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New developments in representation theories of vertex operator algebras and their applicationsPrincipal Investigator

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Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.Principal Investigator

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有限幾何的な手法による頂点作用素代数の研究Principal Investigator

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幾何学に関連して現れる頂点代数の研究Principal Investigator

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2次元共形場理論におけるテンソル積と量子群の研究Principal Investigator

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Matsuo Atsushi 松尾厚

MATSUO Atsushi 松尾厚

松尾厚マツオアツシ