Nakai Isao 中居功

… Alternative Names

Researcher Number	90207704
External Links
Affiliation (Current)	2021: 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
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Geometry Except Principal Investigator Geometry / 代数学・幾何学 / Geometry / Algebra / Global analysis / Global analysis
Keywords	Principal Investigator 常微分方程式 / WEB / 葉層 / Web / WEB幾何学 / 複素力学系 / 可積分系 / 一階偏微分方程式 / 関係式 / CHERN接続 … More Except Principal Investigator 接触変換 / 特異葉層構造 / 接触幾何学 / 葉層 / 葉層構造 / 特異点集合 / 単純階別リー環 / 局所同値問題 / Web / 留数 / 定性論 / 相似変換擬群 / foliation / qualitative theory / similarity pseudogroup / ルジャンドル特異点 / ラグランジュ特異点 / 接触幾何 / Monge-Ampere equation / モンジュ・アンペール方程式 / 可積分系 / 複素力学系 / 可微分写像の位相 / Jet空間の層化 / 写像図式 / 完全積分可能な微分方程式 / 合成写像の位相 / Baum-Bottの留数 / Lehmannの留数 / 微分式系(difefrential system) / ハミルトン-ヤコビ-ベルマン / 保存則 / クレロー型方程式 / 複素解析的特異葉層構造 / 不変部分多様体 / Cech-de Rham cohomology / 特性類の留数 / 微分式系(differential system) / ハミルトン-ヤコビ方程式 / 特異性 / ラグランジュ特異部分多様体 / 平均曲率の発展方程式 / 位相幾何 / トポロジー / 多様体 / 群 / 結び目 / シンプレクティック幾何 / トーリックトポロジー / 微分式系 / 階別単純リー環 / 包合系 / 高次ジェット空間 / 有限型微分方程式系 / 複素解析幾何学 / 特異点理論 / 開折理論 / 特異点の留数 / 時異葉層構造 / 開析理論 / 解複体 / 特性多様体 / Complex analytic geometry / Singularity theory / Singular foliation / Unfolding theory / Singular set / 3次元3次超曲面 / C^3のcompact化 / ベクトル場の留数 / 準線形微分方程式 / Whiteneyの開いた傘 / Lagrange安定 / 複素多様体 / 3次超曲面 / ファノ多様体 / A cubic threefold / Compactifications of C^3 / Foliation / Residue of a vector field / Open Whitney umbrella / Quasi-linear differential equation / Lagrange stable / Wed / ベクトル場 / 指数と留数 / 局所化 / 特性類 / 特異多様体 / ベットル場 / 正則ベクトル場 / vector fields / singular foliations / indices and residues / localization / characteristic classes / singular varieties / 正則葉層 / 織構造 / 葉層バンドル / PL同相群 / 横断的幾何構造 / 複素葉層 / 同相群 / holomerphic foliation / wob / foliated bundle / residue / PL homeomorphism group / 可展開面 / モンジュアンペ-ル方程式 / 笠 / 平面三角曲線 / 擬直線配置 / ヒルベルト16問題 / ヒルベルト化問題 / 射影幾何 / 特異点論 / 空間曲線 / Web幾何 / symplectic幾何 / 特異葉層 / フロント写像 / Legendre singularity / Lagrange singularity / Tangent developable / Open umbrella / Plane trigonometric curve / Pseudo-line arrangement / Hilbert's 16th problem / 接触交換 / 超幾何方程式系 / 準線形二階偏微分方程式 / 超性解の分岐 / 可積分測地流 / ラフランシュ安定性 / 超楕円写像類群 / 準線形一階偏微分方程式 / 例外形単純リー環 / 二階の過剰決定系 / 二階偏微分方程式系 / 例外単純リー環 / 同値問題 / 超幾何微分方程式系 / Contact Transformation / Hypergeometric Systems / Quasi-linear First Order PDE / Viscosity Solution / Integrable geodesic flow / Lagrange Stability / Hyperelliptic mopping class groups / 単純特異点 / シンプレクティック欠損 / グラスマン幾何 / ガウス写像 / 双対多様体 / 可展部分多様体 / シンプレクティック・モデュライ / 接触同値 / ギベンタル予想 / 非ホロノーム横断性定理 / 非ホロノームホモトピー原理 / 可展面 / 等径超曲面 / 極小曲面 / 接触構造 / ケーリー8元数体 / 可展超曲面 / 射影構造 / 等質空間 / ケーレー8元体 / 射影微分幾何 / simple singularity / symplectic defect / contact geometry / Grassmannian geometry / Gauss mapping / dual variety / developable submanifold / サックスティーダーの定理 / 例外的極小集合 / 留数理論 / ミルナー数 / 非ユニモデュラーリー群 / 指数公式 / ウエッブ / ブラシュケ接続 / 区分線形同相群 / Sacksteder's Theorem / exceptional minimal set / 高階有限型微分方程式系 / 調和写像と可積分系 / 測地流と可積分系 / Gauss-Schwarz理論 / Gaup.Schwary理論 / 解の特異点 / 調和写像 / 高階有限型微分方程式 / 射影部分多様体論 / 過剰決定系 / Contact transformations / Monge-Ampere equations / Systems of higher order partial differential equations of finite type / Harmonic mappings and Integrable systems / Geodesic flows and Integrade systems / Gauss-Schwarz theory / ハミルトン力学系 / ゼータ関数 / コシレイ指数 / 変分法 / シンプレクティック幾何学 / 力学系ゼータ関数 / コンレイ指数 / Hamiltonian system / integrable system / variational method / zeta function / Conley index / complex dynamical system / symplectic geometry / 局所自由リー群作用 / 葉層コホモロジー / パラメータ剛性 / ホロサイクル流 / Ruelle不変量 / 一意エルゴード性 / 極小集合 / ルエル不変量 / 一竜エルゴート性 / foliations / locally free lie group actions / foliated cohomology / parameter rigidity / horocycle flow / Ruelle invariant / unique ergodicity / minimal set / カオス / フラクタル / 分岐 / ジュリア集合 / 力学系 / くりこみ / タイヒミュラー空間 / マンデルブロート集合 / 分岐理論 / 超越整関数 / 放物型不動点 / タイヒミュラー空間論 / Complex Dynamics / Chaos / Fractal / Bifurcation / Julia set / Dynamical System / Renormalization / Teichmuller space 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
  120006488666
- 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

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
14. TSUBOI Takashi (40114566)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
18. UEDA Tetsuo (10127053)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. 森川良三 (90087081)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 工藤愛知 (00112285)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 鷲尾忠司 (60039435)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 安達謙三 (70007764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 梶本ひろし (50194741)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 齋藤睦 (70215565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
31. FUKAYA Kenji (30165261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. SAEKI Osamu (30201510)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. KATO Hisao (70152733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. KANENOBU Taizo (00152819)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. IWASE Norio (60213287)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. MATSUMOTO Keiji (30229546)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. HURUHATA Hitoshi (80282036)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. YATSUI Tomoaki (00261371)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. OZAWA Tetasuya (20169288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. SUZUKI Haruo (80000735)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. 日比孝之 (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. 島田伊知朗 (10235616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. OKA Mutsuo (40011697)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. HONDA Naofumi (00238817)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. 森吉仁志 (00239708)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. 森本徹 (80025460)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. 神田雄高 (30280861)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
50. YOSHINO Masatomi (00145658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
51. KIKKAWA Michihika (70032430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
52. 須川敏幸 (30235858)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
53. TAKAMURA Masashi (60206886)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
54. MORIYAMA Youichi (80210201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
55. 大仁田義裕 (90183764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
56. ITO Hidekazu (90159905)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
57. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. MORITA Takehiko (00192782)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. 志賀啓成 (10154189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. INABA Takashi (40125901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. KANAI Masahiko (70183035)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. NAKAYAMA Hiromichi (30227970)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. ASUKE Taro (30294515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. TAKEBE Takashi (60240727)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. MAJIMA Hideyuki (50111456)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. 伊藤敏和 (60110178)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. 大沢健夫 (30115802)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. 宍倉光広 (70192606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. USHIKI Shigehiro (10093197)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
71. TANIGUCHI Masahiko (50108974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. TSUJII Masato (20251598)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. KISAKA Masashi (70244671)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. 稲生啓行 (00362434)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Nakai Isao 中居 功

NAKAI Isao 中居 功

中尾 功 ナカオ イワオ

Research Projects

Research Products

Co-Researchers

Geometry of Planar 3-websPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of webs, Hamiltonian systems and complex dynamicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

可積分系の幾何学とWeb幾何学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Nakai Isao 中居功

NAKAI Isao 中居功

中尾功ナカオイワオ