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OCHIAI Mitsuyuki  落合 豊行

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落合 豊行

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Researcher Number 70016179
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2003 – 2005: 奈良女子大学, 理学部, 教授
2001 – 2002: 奈良女子大学, 人間文化研究科, 教授
1999 – 2000: Graduate School of Human Culture, Nara Women's University, Professor, 大学院・人間文化研究科, 教授
1998: 奈良女子大学, 大学院人間文化研究科, 教授
1988 – 1998: 奈良女子大学, 理学部, 教授
1986: 大阪大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学
Except Principal Investigator
Geometry / 代数学・幾何学 / Algebra / 解析学
Keywords
Principal Investigator
結び目 / Linux / ブレイド / 不変量 / ヘッケ環 / 多項式不変量 / Hecke algebras / mutant / polynomial invariant / base tangle … More / tangle / knot / Hecke環 / 3並行化HOMFLY多項式 / スケイン関係式 / 並行化HOMFLY多項式 / 基底タングル / タングル / parallel invariants / Computer aided software / W-graphs / Braids / Invariants / Hecke Algebras / Matrix representations / Knots / ミュータント結び目 / 平行化不変量 / 支援ソフトウェア / W-グラフ / 行列表現 / 3次元多様体 / ヘ-ゴ-ド図式 … More
Except Principal Investigator
結び目 / Dehn twist / Heegaard splitting / knot / 3-manifold / triangulation / 双曲幾何 / Knot / Riemannian metric / 双曲構造 / Ricci curvature / 3次元多様体 / リッチ曲率 / アインシュタイン計量 / 極小曲面 / K一群 / 群作用 / 結び目理論 / Mobius幾何 / 射影幾何 / 共形幾何 / Zp-拡大 / 類群 / Einstein metric / Tunnel number / Untelescoping / Heegaard Splitting / トンネル数 / 三次元多様体 / 擬等角変形 / train track / 分岐曲面 / 層状化 / 絡み目 / finite type invariant / quantum invariant / vertey operator algebra / representation theory / 3-dimensional manifold / Knot theory / Riemann surface / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 共形場理論 / 低次元位相幾何 / 有限型不変量 / 量子不変量 / 頂点作用素代数 / 表現論 / 3次元多様体論 / リーマン面 / vertex / Schwarzian / scalar curvature / projective structure / Moebius geometry / conformal connection / confomal structure / ヤン・ミルズ方程式 / ワイル構造 / スカラー曲率方程式 / 頂点 / シュワルツ微分 / スカラー曲率 / 射影構造 / メビウス幾何 / 共形接続 / 共形構造 / ユーシー問題 / 双曲型方程式 / KdV方程式 / ケーラー多様体 / 幾何学的不変量 / 指標 / ホモトピー同値 / ヘッケ環 / パーコレーション / 種数 / ガウス語 / 閉曲線 / 変分問題 / 山辺計量 / 曲線の頂点 / ガロワ拡大 / p進L関数 / 位相写像 / 距離 / 単数群 / 類数 / ideal類群 / CM-体 / 代数体 / 円分ZZeー拡大 / 二重記号 / 三重記号 / Pー進L関数 / 岩沢不変量 / 岩沢理論 / トレ-ス定理 / 重みつきソボレフ空間 / 線型双曲系 / 解の正則性 / エネルギ-評価 / 特性的境界値問題 / 初期値境界値問題 / 双曲型方程式系 Less
  • Research Projects

    (17 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (43 People)
  •  Computer Aided Knot Theory on LinuxPrincipal Investigator

    • Principal Investigator
      OCHIAI Mitsuyuki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      NARA WOMEN'S UNIVERSITY
  •  Representations of 3-manifolds and geometric informations derived from them

    • Principal Investigator
      KOBAYASHI Tsuyoshi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  Quantum structure of Riemann surfaces and its application to low-climensional topology

    • Principal Investigator
      MURUKAMI Jun
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Combinatorial structures of low dimensional manifolds

    • Principal Investigator
      KOBAYASHI Tsuyoshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  Gemetric Structures on Manifolds and Global Analysis

    • Principal Investigator
      KOBAYASHI Osamu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
      Nara Women's University
  •  Constructions of Matrix representations of Hecke algebras through W-graphsPrincipal Investigator

    • Principal Investigator
      OCHIAI Mitsuyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      NARA WOMEN'S UNIVERSITY
  •  低次元多様体の組合せ的構造の研究

    • Principal Investigator
      KOBAYASHI Tsuyoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  共形構造及び射影構造に関する幾何学

    • Principal Investigator
      小林 治
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  岩澤理論に関連した代数体の研究

    • Principal Investigator
      赤川 安正
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nara Women's University
  •  共形構造及び射影構造の幾何に関する研究

    • Principal Investigator
      小林 治
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  岩澤理論に関連した代数体の研究

    • Principal Investigator
      堀江 邦明
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nara Women's University
  •  岩沢理論と岩沢不変量

    • Principal Investigator
      赤川 安正
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nara Women's University
  •  結び目と3次元多様体の分類Principal Investigator

    • Principal Investigator
      落合 豊行
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nara Women's University
  •  線型および非線型の双曲型方程式系の研究

    • Principal Investigator
      静田 靖
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nara Women's University
  •  双曲型方程式の初期値問題

    • Principal Investigator
      岩崎 敷久
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nara Women's University
  •  群作用と力学系の研究

    • Principal Investigator
      中岡 稔
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  幾何学的不変量

    • Principal Investigator
      尾関 英樹
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University

All 2004 2003

All Journal Article Book

  • [Book] グラフ理論入門-平面グラフへの応用2004

    • Author(s)
      落合 豊行
    • Total Pages
      186
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540072
  • [Journal Article] Graph Theory with Applications to Planar Graphs (in Japanese)2004

    • Author(s)
      M.Ochiai
    • Journal Title

      Nihon-shouronnsha

      Pages: 1-186

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540072
  • [Journal Article] 結び目とコンピュータ2003

    • Author(s)
      落合 豊行
    • Journal Title

      数学セミナー(日本評論社) 4号-12号(総)

      Pages: 54-54

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540072
  • [Journal Article] Knot Theory by Computer (in Japanese)2003

    • Author(s)
      M.Ochiai
    • Journal Title

      Nihon-shouronnsha

      Pages: 4-12

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540072
  • 1.  KOBAYASHI Tsuyoshi (00186751)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  静田 靖 (90027368)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  KATAGIRI Minyo (60263422)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  KOBAYASHI Osamu (10153595)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  YAMASHITA Yasushi (70239987)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  赤川 安正 (10028102)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  WADA Masaaki (80192821)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  上部 恒和 (70025394)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  KATO Shin (10243354)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  藤田 収 (40031645)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  堀江 邦明 (20201759)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  KAKO Fujio (90152610)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  NIIDE Naoyuki (40208111)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  坂本 礼子 (10031650)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  川久保 勝夫 (50028198)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  FUJIOKA Atsushi (30293335)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  KITAHARA Haruo (60007119)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KODAMA Akio (20111320)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MURUKAMI Jun (90157751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MIKI Kei (40212229)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  富崎 松代 (50093977)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  河野 典子 (90215195)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  宮武 貞夫 (10025447)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  籔田 公三 (30004435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  上田 勝 (80193811)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  篠田 正人 (50271044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  中岡 稔 (70028075)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  加須栄 篤 (40152657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  尾関 英樹 (60028082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  中尾 慎太郎 (90030783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  辻下 徹 (10107063)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  坂根 由昌 (00089872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  岩崎 敷久 (70027374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  石本 浩康 (90019472)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  山田 修司 (30192404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  山根 宏之 (10230517)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  今野 一宏 (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  和久井 道久 (60252574)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  鴨 浩靖 (20243355)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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