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

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

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4. KOBAYASHI Osamu (10153595)

# of Collaborated Projects: 5 results

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5. YAMASHITA Yasushi (70239987)

# of Collaborated Projects: 5 results

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6. 赤川安正 (10028102)

# of Collaborated Projects: 5 results

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7. WADA Masaaki (80192821)

# of Collaborated Projects: 4 results

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8. 上部恒和 (70025394)

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9. KATO Shin (10243354)

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10. 藤田収 (40031645)

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11. 堀江邦明 (20201759)

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12. KAWANAKA Noriaki (10028219)

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13. KAKO Fujio (90152610)

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14. NIIDE Naoyuki (40208111)

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15. 坂本礼子 (10031650)

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16. 川久保勝夫 (50028198)

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17. FUJIOKA Atsushi (30293335)

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18. KITAHARA Haruo (60007119)

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19. KODAMA Akio (20111320)

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20. MURUKAMI Jun (90157751)

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21. UNO Katsuhiro (70176717)

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22. NAGATOMO Kiyokazu (90172543)

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23. MIKI Kei (40212229)

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24. SAKUMA Makoto (30178602)

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36. 坂根由昌 (00089872)

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37. 岩崎敷久 (70027374)

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38. 石本浩康 (90019472)

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43. 鴨浩靖 (20243355)

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OCHIAI Mitsuyuki 落合 豊行

落合 豊行

Research Projects

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Co-Researchers

Computer Aided Knot Theory on LinuxPrincipal Investigator

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Constructions of Matrix representations of Hecke algebras through W-graphsPrincipal Investigator

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結び目と3次元多様体の分類Principal Investigator

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OCHIAI Mitsuyuki 落合豊行

落合豊行