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OCHIAI Takusiro  落合 卓四郎

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OCHIAI Takushiro  落合 卓四郎

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Researcher Number 90028241
Other IDs
Affiliation (based on the past Project Information) *help 1998 – 2000: 東京大学, 大学院・数理科学研究科, 教授
1993 – 1996: 東京大学, 大学院・数理科学研究科, 教授
1994: UNIV OF TOKYO MATHEMATCAL SCIENCE,PROFESSOR, 大学院・数理科学研究所, 教授
1994: 東京大学, 大学院数理科学研究所, 教授
1994: 東京大学, 大学院数理科学研究科, 教授 … More
1987 – 1991: Rof. Faculty of Science, University of Tokyo, 理学部, 教授
1986: 東京大学, 理学部, 助教授
1986: 東大, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Geometry
Except Principal Investigator
代数学・幾何学 / Geometry / General mathematics (including Probability theory/Statistical mathematics) / Science education
Keywords
Principal Investigator
調和写像 / 極小曲面 / MORSE THEORY / DYNAMICAL SYSTEMS / GEOMETRIC VARIATIONAL PROBLEM / 偏微分方程式 / 測地線 / 大域変分法 / 量子化 / モース関数 … More / 物理幾何学 / シンプレクティク幾何学 / 危点 / 幾何学的変分問題 / モ-ス理論 / 力学系 / 幾何学的変分法 / アインスタインケーラー空間 / 葉層構造 / ザァイフェルトファイバー空間 / 楕円型曲面 / インスタントン / ヤング・ミルズ場 / 楕円型変分問題 / supermanifold / 変換群 / moduli空間 / 反自己双対接続 / Yang-Mills接続 / 非線型楕円型方程式 / 大域解折 / 微分幾何 / 変分問題 / 大域解析 / 微分幾何学 … More
Except Principal Investigator
多様体 / 極小モデル / 代数多様体 / 4次元多様体 / 拡散方程式 / 無限次元力学系 / 非線形偏微分方程式 / シンプレクティック多様体 / 力学系 / 群作用 / モジュライ空間 / 葉層構造 / 解の爆発 / 大域解析学 / インスタントン / リ-マン面 / 消滅定理 / 複素多様体 / Laplacian / Lie contact structure / minimal surfaces / homogeneous spaces / Yang-Mills connection / curvature / Einstein metric / manifold / 部分多様体 / ラプラスベルトラミ作用素 / 対称空間 / リーマン多様体 / リ-マン多様体 / リッテ曲率 / 熱方程式 / 調和写像 / リ-接触構造 / ラプラシアン / リー接触構造 / 極小曲面 / 等質空間 / ヤングミルズ接続 / 曲率 / アインシュタイン計量 / Sain manifold / Moduli space / Self-dual connections / Eixed point / Group action / Moment map / Symplectic manifold / 自己双対接続 / スカラー曲率 / スピン構造 / 不動点 / 慣性写像 / シンブレクティック多様体 / Geometry / 多様体の社会学 / 超多様体 / 大成解析学 / 幾何学 / attractor / parabolic equations / infinite dimensional dynamical systems / diffusion equations / qualitatuve theory / nonlinear partial differential equations / 境界現象 / 定性的研究 / パターン形成 / アトラクター / 放物型方程式 / 定性的理論 / the Calabi invariant / manifolds / infinite transformation groups / dynamical systems / limit sets / diffeomorphism groups / finitely presented groups / 保測変換 / カラビ不変量 / 無限変換群 / 極限集合 / 微分同相群 / 有限表示群 / proper age / principle of equality / intellectual aspiration / Textbook autorization / Shirking mathematics / Mathematical literacy / Mathematical thinking / Mathematics education / 教育課程審議会 / ICME9 / 大学数学教育 / 高校数学教育 / 適齢 / 平等主義 / 知的向上心の衰退 / 学習適合年齢 / 画一平等主義 / 知的向上心 / 教科書検定 / 数学離れ / 数学的リテラシー / 数学的思考力 / 数学教育 / ホモロジー球面 / 分類理論 / フリップ / ホモロジー3球面 / リーマン計量 / moduli空間 / 反自己双対接続 / Yang-Mills場 / ピカール数 / サイクル写像 / アーベル・ヤコビ写像 / 代数的サイクル / 一般型 / 3次元多様体 / 高次元多様体 / 写像類群 / レフシェツ・ファイバー空間 / 安定性 / 特性類 / 位相同型群 / 接触構造 / 臨界指数 / 非線形シュレディンガ-方程式 / 変分問題 / 非線形熱方程式 / 曲面写像類 / モノドロミ- / 特異ファイバ- / 特異点 / 力学系の理論 / 非線形解析 / 応用解析 / 測地線論 / スペクトル幾何学 / チャ-ン類 / ファノ多様体 / 変換群 Less
  • Research Projects

    (22 results)
  • Co-Researchers

    (48 People)
  •  共形不変形を持つ幾何学的変分問題の可積分系による解法についてPrincipal Investigator

    • Principal Investigator
      落合 卓四郎
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  4次元レフシェツファイバー空間

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  STUDY ON INFINITE TRANSFORMATION GROUPS ON MANIFOLDS

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  Analysis of the structure of solutions of nonlinear partial differential equations

    • Principal Investigator
      MATANO Hiroshi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tokyo
  •  無限群の幾何的理論の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Urgent issues and future prospect of high school mathemaics education

    • Principal Investigator
      FUJITA Hiroshi
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Science education
    • Research Institution
      MEIJI UNIVERSITY
  •  GEOMETRIC STUDY OF VARIATIONS ON INFINITE DIMENSIONAL MANIFOLDSPrincipal Investigator

    • Principal Investigator
      OCHIAI Takushiro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  4次元ファイバ-空間と曲面の写像類

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  非線型偏微分方程式の解の構造の解析

    • Principal Investigator
      俣野 博
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      The University of Tokyo
  •  大域解析学とスペクトル幾何学

    • Principal Investigator
      KITAHARA Haruo
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  非線型偏微分方程式の解の構造の解析およびその構造

    • Principal Investigator
      MATANO Hiroshi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  変換群と幾何学

    • Principal Investigator
      HATTORI Akio
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  高次元多様体のminimal modelの研究

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  変換群と幾何学

    • Principal Investigator
      服部 晶夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  可微分多様体の大域的構造について

    • Principal Investigator
      SHIOHAMA Katsuhiro
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  微分幾何学・複素解析学および大域的解析学Principal Investigator

    • Principal Investigator
      落合 卓四郎
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Yang-Mills場と4次元多様体

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  高次元多様体のminimal modelの研究

    • Principal Investigator
      塩田 徹治
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  微分幾何学・複素解析学及び大域的解析学Principal Investigator

    • Principal Investigator
      落合 卓四郎
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Yang-Mills場と4次元多様体

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Geometry on smooth manifolds

    • Principal Investigator
      KITAHARA Haruo
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  Transformation groups and geometry

    • Principal Investigator
      HATTORI Akio
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics
  • 1.  MATSUMOTO Yukio (20011637)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  HATTORI Akio (80011469)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  TSUBOI Takashi (40114566)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  MATANO Hiroshi (40126165)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  UE Masaaki (80134443)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KAWAMATA Yujiro (90126037)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  SUNADA Toshikazu (20022741)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  IWASAKI Katunori (00176538)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  中島 啓 (00201666)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  深谷 賢治 (30165261)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  KITAHARA Haruo (60007119)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  TSUTSUMI Yoshio (10180027)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  OSHIMA Toshio (50011721)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  FURUTA Mikio (50181459)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  ODA Takayuki (10109415)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  浦川 肇 (50022679)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  小谷 真一 (10025463)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  塩田 徹治 (00011627)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  田村 一郎 (30011430)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  FUJITA Hiroshi (80011427)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  HOSOI Tsutomu (30055305)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  MORIMOTO Mituo (80053677)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  IITAKA Sigeru (20011588)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SAWADA Tosio (40000062)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  ISHIMURA Naoyuki (80212934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  OTSU Yukio (80233170)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KUSUOKA Shigeo (08640254)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  TAKEUCHI Masaru (70028116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  SEKIGAWA Kouei (60018661)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  NAKAGAWA Hisao (10015018)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  OMORI Hideki (20087018)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  SHIOHAMA Katsuhiro (20016059)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  SAKAI Takashi (70005809)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  OGIUE Kouichi (10087025)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  TAKAGI Ryoichi (00015562)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  西川 青季 (60004488)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  増田 久弥 (10090523)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  河澄 響矢 (30214646)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  矢野 公一 (60114691)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  河野 俊丈 (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  森田 茂之 (70011674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  藤岡 敦 (30293335)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  今野 宏 (20254138)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  丸山 直昌 (60114659)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  久我 健一 (30186374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  小松 彦三郎 (40011473)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  斎藤 毅 (70201506)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  楠岡 成雄 (00114463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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