Nakai Isao 中居功

… Alternative Names

中居功ナカイイサオ

NAKAI Isao 中居功

中尾功ナカオイワオ

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Researcher Number	90207704
External Links
Affiliation (Current)	2023: お茶の水女子大学, , 名誉教授 2023: お茶の水女子大学, 基幹研究院, 教授
Affiliation (based on the past Project Information) *help	2015 – 2018: お茶の水女子大学, 基幹研究院, 教授 2011 – 2013: お茶の水女子大学, 大学院人間文化創成科学研究科, 教授 2009 – 2010: お茶の水女子大学, 理学部, 教授 2002 – 2006: お茶の水女子大学, 理学部, 教授 1999 – 2000: お茶の水女子大学, 理学部, 教授 … More 1998: 北海道大学, 大学院理学研究科, 助教授 1995 – 1998: 北海道大学, 大学院・理学研究科, 助教授 1995: Hokkaido University, Graduate School of Sciences, Associate Professor, 大学院理学研究科, 助教授 1993 – 1995: 北海道大学, 理学部, 助教授 1994: 広島大学, 理学部, 助教授 1990 – 1992: 北海道大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Global analysis Except Principal Investigator Geometry / 代数学・幾何学 / Geometry / Global analysis / Global analysis / Algebra
Keywords	Principal Investigator 葉層 / WEB / 常微分方程式 / 複素力学系 / WEB幾何学 / Web / co-tidal / difraction / Chern接続 / Quasi group … More / 複素力学 / Complex dynamics / Foliation / 接触構造 / 一階微分方程式 / CHERN接続 / 関係式 / 一階偏微分方程式 / 可積分系 / singularity / resonance / curvature / web / RESONANCE / ODE / CURVATURE / PLANAR WEB / 剛性 / 曲率 / 位相剛性 / 曲率形式 / WEB 幾何学 / ordinary differential equation / complex dynamics / web geometry / holomorphic diffeomorphism / complex foliation / フェルマー曲面 / Campbell-Hansdorff / Relation / Horomorphic diffeomorphism / Campbell-Hausdorff / ホロノミー / 複素解析同相 / 複素葉層構造 / Chern connection / Caustics / 可換力学 / 面積程存 / Qunsi Group / 可換力学系 / 正則ベクトル場 / Chern 接続 / Quasi Group / Cavstic / Higher Order ODE / First Order PDE / Non solvable Dynamics / Integrable system / Chern onnection / 留数公式 / pseudo group / ルジャンドル / 高階偏微分方程式 / 高階拳微分方程式 / 非可解群作用 / 特異点 / マグナス展開 / 国際研究者交流、フランスおよびイスラエル / 反復線積分 / 自由群 / 平面曲線 / センター問題 / 力学系 / Blaschke / Chern コネクション / Bott コネクション … More Except Principal Investigator 接触変換 / 葉層構造 / 葉層 / 接触幾何学 / 特異葉層構造 / 複素力学系 / 可積分系 / モンジュ・アンペール方程式 / Monge-Ampere equation / 接触幾何 / ラグランジュ特異点 / ルジャンドル特異点 / similarity pseudogroup / qualitative theory / foliation / 相似変換擬群 / 定性論 / 留数 / Web / 局所同値問題 / 単純階別リー環 / 特異点集合 / Teichmuller space / Renormalization / Dynamical System / Julia set / Bifurcation / Fractal / Chaos / Complex Dynamics / タイヒミュラー空間論 / 放物型不動点 / 超越整関数 / 分岐理論 / マンデルブロート集合 / タイヒミュラー空間 / くりこみ / 力学系 / ジュリア集合 / 分岐 / フラクタル / カオス / minimal set / unique ergodicity / Ruelle invariant / horocycle flow / parameter rigidity / foliated cohomology / locally free lie group actions / foliations / 一竜エルゴート性 / ルエル不変量 / 極小集合 / 一意エルゴード性 / Ruelle不変量 / ホロサイクル流 / パラメータ剛性 / 葉層コホモロジー / 局所自由リー群作用 / symplectic geometry / complex dynamical system / Conley index / zeta function / variational method / integrable system / Hamiltonian system / コンレイ指数 / 力学系ゼータ関数 / シンプレクティック幾何学 / 変分法 / コシレイ指数 / ゼータ関数 / ハミルトン力学系 / Gauss-Schwarz theory / Geodesic flows and Integrade systems / Harmonic mappings and Integrable systems / Systems of higher order partial differential equations of finite type / Monge-Ampere equations / Contact transformations / 過剰決定系 / 射影部分多様体論 / 高階有限型微分方程式 / 調和写像 / 解の特異点 / Gaup.Schwary理論 / Gauss-Schwarz理論 / 測地流と可積分系 / 調和写像と可積分系 / 高階有限型微分方程式系 / exceptional minimal set / Sacksteder's Theorem / 区分線形同相群 / ブラシュケ接続 / ウエッブ / 指数公式 / 非ユニモデュラーリー群 / ミルナー数 / 留数理論 / 例外的極小集合 / サックスティーダーの定理 / developable submanifold / dual variety / Gauss mapping / Grassmannian geometry / contact geometry / symplectic defect / simple singularity / 射影微分幾何 / ケーレー8元体 / 等質空間 / 射影構造 / 可展超曲面 / ケーリー8元数体 / 接触構造 / 極小曲面 / 等径超曲面 / 可展面 / 非ホロノームホモトピー原理 / 非ホロノーム横断性定理 / ギベンタル予想 / 接触同値 / シンプレクティック・モデュライ / 可展部分多様体 / 双対多様体 / ガウス写像 / グラスマン幾何 / シンプレクティック欠損 / 単純特異点 / Hyperelliptic mopping class groups / Lagrange Stability / Integrable geodesic flow / Viscosity Solution / Quasi-linear First Order PDE / Hypergeometric Systems / Contact Transformation / 超幾何微分方程式系 / 同値問題 / 例外単純リー環 / 二階偏微分方程式系 / 二階の過剰決定系 / 例外形単純リー環 / 準線形一階偏微分方程式 / 超楕円写像類群 / ラフランシュ安定性 / 可積分測地流 / 超性解の分岐 / 準線形二階偏微分方程式 / 超幾何方程式系 / 接触交換 / Hilbert's 16th problem / Pseudo-line arrangement / Plane trigonometric curve / Open umbrella / Tangent developable / Lagrange singularity / Legendre singularity / フロント写像 / 特異葉層 / symplectic幾何 / Web幾何 / 空間曲線 / 特異点論 / 射影幾何 / ヒルベルト化問題 / ヒルベルト16問題 / 擬直線配置 / 平面三角曲線 / 笠 / モンジュアンペ-ル方程式 / 可展開面 / PL homeomorphism group / residue / foliated bundle / wob / holomerphic foliation / 同相群 / 複素葉層 / 横断的幾何構造 / PL同相群 / 葉層バンドル / 織構造 / 正則葉層 / singular varieties / characteristic classes / localization / indices and residues / singular foliations / vector fields / 正則ベクトル場 / ベットル場 / 特異多様体 / 特性類 / 局所化 / 指数と留数 / ベクトル場 / Wed / Lagrange stable / Quasi-linear differential equation / Open Whitney umbrella / Residue of a vector field / Foliation / Compactifications of C^3 / A cubic threefold / ファノ多様体 / 3次超曲面 / 複素多様体 / Lagrange安定 / Whiteneyの開いた傘 / 準線形微分方程式 / ベクトル場の留数 / C^3のcompact化 / 3次元3次超曲面 / Singular set / Unfolding theory / Singular foliation / Singularity theory / Complex analytic geometry / 特性多様体 / 解複体 / 開析理論 / 時異葉層構造 / 特異点の留数 / 開折理論 / 特異点理論 / 複素解析幾何学 / 有限型微分方程式系 / 高次ジェット空間 / 包合系 / 階別単純リー環 / 微分式系 / トーリックトポロジー / シンプレクティック幾何 / 結び目 / 群 / 多様体 / トポロジー / 位相幾何 / 平均曲率の発展方程式 / ラグランジュ特異部分多様体 / 特異性 / ハミルトン-ヤコビ方程式 / 微分式系(differential system) / 特性類の留数 / Cech-de Rham cohomology / 不変部分多様体 / 複素解析的特異葉層構造 / クレロー型方程式 / 保存則 / ハミルトン-ヤコビ-ベルマン / 微分式系(difefrential system) / Lehmannの留数 / Baum-Bottの留数 / 合成写像の位相 / 完全積分可能な微分方程式 / 写像図式 / Jet空間の層化 / 可微分写像の位相 Less

Geometry of Planar 3-websPrincipal Investigator
- Principal Investigator
  
  Nakai Isao
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Ochanomizu University
Relations of formal power series of one variable and coding of space curves by iterated path integralsPrincipal Investigator
- Principal Investigator
  
  NAKAI Isao
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ochanomizu University
Overall study of topology
- Principal Investigator
  
  MASUDA Mikiya
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Research on the differential sysytems and geometric structures associated with simple graded Lie algebras
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Research on Complex Dynamics
- Principal Investigator
  
  UEDA Tetsuo, 宍倉光広
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Topology of Solutions of 1st order PDEs and web gPrincipal Investigator
- Principal Investigator
  
  NAKAI Isao
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Ochanomizu University
Synthetic studies of foliations and discrete group actions
- Principal Investigator
  
  MATSUMOTO Shigenori
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Nihon University
Research of Systems of Partial Differential Equations from the view point of Contact Geometry
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Analysis of dynamical systems and related topics in geometry
- Principal Investigator
  
  ITO Hidekazu
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
Projective contact geometry and singularity theory
- Principal Investigator
  
  ISHIKAWA Goo
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDOUNIVERSITY
Geometry of webs, Hamiltonian systems and complex dynamicsPrincipal Investigator
- Principal Investigator
  
  NAKAI Isao
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  Ochanomizu University
  Hokkaido University
Many-sided Research of Foliations
- Principal Investigator
  
  NISHIMORI Toshiyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
可積分系の幾何学とWeb幾何学Principal Investigator
- Principal Investigator
  
  中居功
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
Contact Geometry of Second Order
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido Univ.
First Order Partial Differential Equation and WEB GeometryPrincipal Investigator
- Principal Investigator
  
  NAKAI Isao
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Research on Complex Analytic Geometry and Singularity Theory
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Foliation Theory
- Principal Investigator
  
  NISHIMORI Toshiyuki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Contact geometric singularity theory of projective varieties.
- Principal Investigator
  
  ISHIKAWA Go-o
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
複素解析的葉層構造の特異点の研究
- Principal Investigator
  
  諏訪立雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
二階の接触幾何学
- Principal Investigator
  
  山口佳三
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
偏微分方程式の幾何と解析
- Principal Investigator
  
  泉屋周一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Study on Complex Manifolds
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
偏微分方程式の幾何学的理論と特異点
- Principal Investigator
  
  泉屋周一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
複素解析的葉層構造の特異点の研究
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
二階の接触幾何学
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hokkaido University
河微分写像の位相
- Principal Investigator
  
  森川良三
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagasaki University
Research on Complex Analytic Geometry and Singularity Theory
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hokkaido University

All 2018 2016 2015 2014 2013 2012 2011 2005

All Journal Article Presentation

[Journal Article] Web geometry of solutions of first order ODEs2018
- Author(s)
  Isao Nakai
- Journal Title
  
  Natural Science Report, Ochanomizu University
  
  Volume: 68 Pages: 1-5
- NAID
  40021527760
- Open Access
- Data Source
  KAKENHI-PROJECT-15K04838
[Journal Article] Finding roots by a simple origami2016
- Author(s)
  ISAO NAKAI
- Journal Title
  
  Ochanomizu University Natural Science Report
  
  Volume: 66,no.1 Pages: 1-17
- NAID
  120005860185
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04838
[Journal Article] Webs and Singularities2014
- Author(s)
  NAKAI, Isao
- Journal Title
  
  Journal of Singularities
  
  Volume: Vol 9(掲載ページ未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540236
[Journal Article] Relations of formal diffeomorphisms2005
- Author(s)
  Isao Nakai, Kana Yanai
- Journal Title
  
  RIMS Koukyuroku 1447
  
  Pages: 145-163
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340022
[Journal Article] Relations of formal diffeomorphisms2005
- Author(s)
  中居功
- Journal Title
  
  数理解析研究所講究録 1447
  
  Pages: 145-163
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340022
[Presentation] Web geometriy from the view point of rigidity and curvature2018
- Author(s)
  Isao Nakai
- Organizer
  Seminaire de Geometrie, IMB, Universite de Bordeaux I
- Invited
- Data Source
  KAKENHI-PROJECT-15K04838
[Presentation] Some topics in web geometry2015
- Author(s)
  Isao Nakai
- Organizer
  日本数学会秋季会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04838
[Presentation] Relation of germs of diffeomorphisms of (C,0) and Geometry of path group2013
- Author(s)
  Isao Nakai
- Organizer
  Seminar on Geometry and Topology in Weizman institute
- Place of Presentation
  Rehovot, Israel
- Invited
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Geometry of Path group Feuilletages et equations differentielles complexes2012
- Author(s)
  NAKAI, Isao
- Organizer
  国際議
- Place of Presentation
  フランス, マルセイユ CIRM 研究所
- Year and Date
  2012-10-16
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Relation of germs of diffeomorphisms of (C,0) and Geometry of path group2012
- Author(s)
  Isao Nakai
- Organizer
  Feuilletages et équations différentielles complexes
- Place of Presentation
  Luminy, France
- Invited
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Topology of Cubic maps2011
- Author(s)
  中居功
- Organizer
  Journees Textiles(招待講演)
- Place of Presentation
  Rennes, France
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Webs and Singularities Resolution of singularities and related topics2011
- Author(s)
  NAKAI, Isao
- Organizer
  国際会議
- Place of Presentation
  Tordesillas, スペイン
- Year and Date
  2011-09-22
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Topology of Cubic maps2011
- Author(s)
  中居功
- Organizer
  Congreso Hironaka 80(招待講演)
- Place of Presentation
  Tordesillas, SPEIN
- Data Source
  KAKENHI-PROJECT-23540236
[Presentation] Webs and Singularities Les Jornees textiles2011
- Author(s)
  NAKAI, Isao
- Organizer
  国際会議
- Place of Presentation
  Universite de Rennes 1, フランス, レンヌ
- Year and Date
  2011-11-23
- Data Source
  KAKENHI-PROJECT-23540236

1. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
2. IZUMIYA Shuichi (80127422)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
3. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
4. SUWA Tatsuo (40109418)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
5. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. MINAKAWA Hiroyuki (30241300)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. SATO Hajime (30011612)

# of Collaborated Projects: 4 results

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8. MATSUMOTO Shigenori (80060143)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. ONO Kaoru (20204232)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. NAKAMURA Iku (50022687)

# of Collaborated Projects: 3 results

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11. KIYOHARA Kazuyoshi (80153245)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. TOSE Nobuyuki (00183492)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 田中昇 (80025296)

# of Collaborated Projects: 2 results

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14. TSUBOI Takashi (40114566)

# of Collaborated Projects: 2 results

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15. MORITA Shigeyuki (70011674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. SASAKI Takeshi (00022682)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. NISHIMORI Toshiyuki (50004487)

# of Collaborated Projects: 2 results

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18. UEDA Tetsuo (10127053)

# of Collaborated Projects: 2 results

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19. 森川良三 (90087081)

# of Collaborated Projects: 1 results

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20. 工藤愛知 (00112285)

# of Collaborated Projects: 1 results

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21. 鷲尾忠司 (60039435)

# of Collaborated Projects: 1 results

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22. 安達謙三 (70007764)

# of Collaborated Projects: 1 results

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23. 梶本ひろし (50194741)

# of Collaborated Projects: 1 results

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24. 齋藤睦 (70215565)

# of Collaborated Projects: 1 results

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25. 儀我美一 (70144110)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. MASUDA Mikiya (00143371)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. OHSHIKA Ken'ichi (70183225)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. KONO Akira (00093237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. SAKUMA Makoto (30178602)

# of Collaborated Projects: 1 results

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31. FUKAYA Kenji (30165261)

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32. SAEKI Osamu (30201510)

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33. KATO Hisao (70152733)

# of Collaborated Projects: 1 results

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34. KOHNO Toshitake (80144111)

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35. KANENOBU Taizo (00152819)

# of Collaborated Projects: 1 results

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36. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 1 results

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37. IWASE Norio (60213287)

# of Collaborated Projects: 1 results

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38. MATSUMOTO Keiji (30229546)

# of Collaborated Projects: 1 results

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39. HURUHATA Hitoshi (80282036)

# of Collaborated Projects: 1 results

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40. YATSUI Tomoaki (00261371)

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41. OZAWA Tetasuya (20169288)

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42. SUZUKI Haruo (80000735)

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43. 日比孝之 (80181113)

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44. 島田伊知朗 (10235616)

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45. OKA Mutsuo (40011697)

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46. HONDA Naofumi (00238817)

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47. 森吉仁志 (00239708)

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48. 森本徹 (80025460)

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49. 神田雄高 (30280861)

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50. YOSHINO Masatomi (00145658)

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51. KIKKAWA Michihika (70032430)

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52. 須川敏幸 (30235858)

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53. TAKAMURA Masashi (60206886)

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54. MORIYAMA Youichi (80210201)

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55. 大仁田義裕 (90183764)

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56. ITO Hidekazu (90159905)

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57. TANAKA Kazunaga (20188288)

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58. KOKUBU Hiroshi (50202057)

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59. MORITA Takehiko (00192782)

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60. 志賀啓成 (10154189)

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61. INABA Takashi (40125901)

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62. KANAI Masahiko (70183035)

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63. NAKAYAMA Hiromichi (30227970)

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64. ASUKE Taro (30294515)

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65. TAKEBE Takashi (60240727)

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69. 宍倉光広 (70192606)

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70. USHIKI Shigehiro (10093197)

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71. TANIGUCHI Masahiko (50108974)

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72. TSUJII Masato (20251598)

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73. KISAKA Masashi (70244671)

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74. 稲生啓行 (00362434)

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Nakai Isao 中居 功

中居 功 ナカイ イサオ

NAKAI Isao 中居 功

中尾 功 ナカオ イワオ

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Geometry of Planar 3-websPrincipal Investigator

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Relations of formal power series of one variable and coding of space curves by iterated path integralsPrincipal Investigator

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Topology of Solutions of 1st order PDEs and web gPrincipal Investigator

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Geometry of webs, Hamiltonian systems and complex dynamicsPrincipal Investigator

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可積分系の幾何学とWeb幾何学Principal Investigator

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Nakai Isao 中居功

中居功ナカイイサオ

NAKAI Isao 中居功

中尾功ナカオイワオ