ISHII Ippei 石井一平

… Alternative Names

Researcher Number	90051929
Affiliation (Current)	2019: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help	2015 – 2016: 慶應義塾大学, 理工学部, 非常勤講師 2008 – 2014: 慶應義塾大学, 理工学部, 准教授 2006: 慶應義塾大学, 理工学部, 助教授 2000 – 2004: KEIO UNIVERSITY, FACULTY OF SCIENCE AND TECHNOLOGY, ASSISTANT PROFESSOR, 理工学部, 助教授 1999: Keio Univ., Dept.of Math., Associate Prof., 理工学部, 助教授 … More
Review Section/Research Field	Principal Investigator Geometry / 代数学・幾何学 / Geometry Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / 代数学・幾何学 / Geometry / Geometry / Global analysis
Keywords	Principal Investigator 3次元多様体 / spine / スパイン / 双曲多様体 / Heegaard splitting / ヘゴール分解 / 位相不変量 / 3-manifold / デーン手術 / グラフ … More Except Principal Investigator 変形量子化 / 調和写像 / 指数定理 / 国際情報交換 / 量子化問題 / 国際研究者交流 / ジャーブ / タフネス / deformation quantization / 非可換微分幾何学 / シンプレクティック幾何学 / 連分数 / グラフマイナー / 非可換多様体 / 超弦理論 / 変形量子化問題 / 完全マッチング / 禁止部分グラフ / グラフ理論 / ポアソン構造 / Gerbe / 弦付きサイクル / Hadwiger予想 / フラクタル / 作用素環 / flow-spines and Seifert fibered structure / ヤングミルズ場 / quantization problems / 非日間微分幾何学 / Index theorem / ホッホシルトコホモロジー / 自由境界問題 / stability for the variational problem / シンプレクティック多様体 / Nambu-Jacobi構造 / II_∞型エルゴード変換 / 位相力学 / Floer homology / NONSINGULAR TRANSFORMATION / 測度論的数論 / 非可換ゲージ理論 / 弦理論 / ローブレイン / Campanoto type estimates / 結び目理論 / Seiberg Witten equatin / マッチング拡張性 / 変分問題解の正則性 / 接触幾何学 / free boundary problem / 熱方程式 / 非線形放物型偏微分方程式 / dissipative sequence / 全域木 / イタリア:フランス:オランダ / 量子コホモロジー / 非可換幾何学 / Pascal-addic変換 / Weyl manifold / 極値問題 / 局所等長理入問題 / 擬微分作用素 / 変分問題 / operator algebra / Navier-Stokes equatin / Yang-Mills gradient flow / クローフリーグラフ / 非特異エルゴード変換 / ループ空間 / Noncommutative geometry / フランス:オランダ:イスラエル / 禁止マイナー / Markov process / 閉曲面上への埋め込み / 非アルキメデス数体 / 凸曲面 / II_∞型変換 / 超関数 / 幾何学的量子化 / upper Banach density / 葉層構造 / 接触多様体 / ハミルトン系の周期解 / Rauzyの予想 / サイクリックコホモロジー / シータグラフ / 多重再帰性 / Contact geometry / (compressibla,incompressible)Navier-Stokes equations / MARKOV SHIFT / 作用素の1径数群 / スパイン / 変分問題の安定性 / K-theory / アメリカ:台湾 / 彩色問題 / 漸近展開 / 変型量子化 / 超越数 / self-similarity / MULTIPLE RECURRENCE / スペクトル理論 / エネルギー曲面 / ハミルトン系 / イギリス:フランス:ベルギー:中国:コロンビア / Yang-Mills fields / ポアソン幾何学 / 中国:スイス:アメリカ / weakly wandering sequence / 連続体力学 / 圧縮性流体方程式 / Hochshields cohomology / 2-スリット実験 / symplectic geometry / 群作用 / 岩沢理論 / Symplectic Geometry / Harmonic maps / 二変数Bassel関数 / knot theory / 漸近解析 / アメリカ / セルフシミラリティ- / groupoids / Rogers-Ramanujan連分数展開 / 低次元トポロジー / オーストラリア:アメリカ:イタリア / ラプラシアン / ヒルベルト変換 / Zの直和分解 / 剛性 / 大域解析学 / Poisson groupoid / nonlinear analysis / 形式的べき級数 / クリフォード代数 / 森グラフ / cyclic cohomology / Loop spaces / 3次元多様体 / Painleve equatin / Symmplectic geometry / III_λ型変換 / ザイフェルト・ファイバ-構造 / 積分可能系 / 無理性の尺度 / fractals / 台湾 / 2次元ランドム・ウォーク / Pascal-adic変換 / Dirac structure / D-brane / 非圧縮流体方程式 / FORMAL POWER SERIES / 保測変換群 / deformation quantizations / slip boundary problem / 極小曲面 / 接コモホロジー / Seiberg-Witten不変量 / グループポイド / マルコフシフト / weakly mixing / regularization / 測度論敵数論 / 周期解 / 組合せ論 / non commutative geometry / ストークス係数 / Lie algebroid / マイナー / Parabolic geometry / 接触構造 / グラフ / マルコフ過程 Less

Integrated research of extremal problems on graph factors, minors and subgraphs
- Principal Investigator
  
  Ota Katsuhiro
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Research on graphs characterized by forbidden minors
- Principal Investigator
  
  OTA Katsuhiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Ergodic theory and metric number theory
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Poisson Geometry, Contact Geometry and Quantization Problems
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  KEIO UNIVERSITY
Research on 3-manifolds by combinatorial and constructive methodsPrincipal Investigator
- Principal Investigator
  
  ISHLI Ippei
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Study of Poisson geometry and its application
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Keio University
On a clacification problem of type II ∞ and type III ergodic transformations and its application
- Principal Investigator
  
  NAKADA Hitoshi, 伊藤雄二
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  KEIO UNIVERSITY
Studies on Combinatorial Structures of 3-ManifoldsPrincipal Investigator
- Principal Investigator
  
  ISHII Ippei
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
多様体の組合せ構造の研究Principal Investigator
- Principal Investigator
  
  石井一平
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
多様体の位相構造と幾何構造の研究Principal Investigator
- Principal Investigator
  
  石井一平
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
幾何学的変換群論
- Principal Investigator
  
  KANAI Masahiko
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
特殊関数の大域的研究
- Principal Investigator
  
  SHIMOMURA Shun
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
3次元多様体の組合せ的位相不変量と関連諸問題の研究Principal Investigator
- Principal Investigator
  
  石井一平
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
Problems in the Global analysis
- Principal Investigator
  
  OBATA Morio
- 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
  Keio University
大域解析学における諸問題の研究
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
非線型解析学
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
変分問題と大域解解析学
- Principal Investigator
  
  菊池紀夫
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
解析数論とその周辺
- Principal Investigator
  
  塩川宇賢
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University

All 2011 2007 2005 Other

All Journal Article

[Journal Article] A note on total excess of spanning trees2011
- Author(s)
  Y.Ohnishi
- Journal Title
  
  AKCE Int.J.Graphs Combin.
  
  Volume: 8 Pages: 97-103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340023
[Journal Article] Some ergodic properties of the negative slope algorithm2007
- Author(s)
  K. Ishimura and H. Nakada
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 667-683
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] Some ergodic properties of the negative slope algorithm2007
- Author(s)
  Koshiro Ishimura, Hitoshi Nakada
- Journal Title
  
  Osaka J. Math. 44 no.3
  
  Pages: 667-683
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340032
[Journal Article] A new complexity for 3-manifolds2005
- Author(s)
  Endoh M., Ishii I.
- Journal Title
  
  Japanese J.Math. (to appear)
- Data Source
  KAKENHI-PROJECT-15540091
[Journal Article] A new complexity for 3-manifolds2005
- Author(s)
  Endoh M., Ishii I.
- Journal Title
  
  Japanese J.Math. to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540091
[Journal Article] Spanning trees with bounded total excess
- Author(s)
  H.Enomoto, Y.Ohnishi, K.Ota
- Journal Title
  
  Ars Combinatoria (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340023
[Journal Article] A new complexity for 3-manifolds
- Author(s)
  M.Endoh, I.Ishii
- Journal Title
  
  Japanese J.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540091

1. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. KIKUCHI Norio (80090041)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. OHTA Katsuhiro (40213722)

# of Collaborated Projects: 7 results

# of Collaborated Products: 1 results
4. TANI Atsushi (90118969)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. MORIYOSHI Hitoshi (00239708)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. ITO Yuji (90112987)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. SSHIOKAWA Iekata (00015835)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. ENOMOTO Hikoe (00011669)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. KAMETANI Yukio (70253581)

# of Collaborated Projects: 4 results

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

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. SHIMOMURA Shun (00154328)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 4 results

# of Collaborated Products: 2 results
13. MAEJIMA Makoto (90051846)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
14. GUEST Martin (10295470)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. MIKAMI Kentaro (70006592)

# of Collaborated Projects: 3 results

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16. ONO Kaoru (20204232)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
17. TATE Tatsuya (00317299)

# of Collaborated Projects: 2 results

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18. OBATA Morio (90087015)

# of Collaborated Projects: 2 results

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19. MIYAZAKI Takuya (10301409)

# of Collaborated Projects: 2 results

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20. TAMURA Yozo (50171905)

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21. ATSUJI Atsushi (00221044)

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22. OMORI Hideki (20087018)

# of Collaborated Projects: 2 results

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23. FUKAYA Kenji (30165261)

# of Collaborated Projects: 2 results

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24. WATAMURA Satoshi (00204232)

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25. MATSUO Yuyaka (50202320)

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26. NATSUI Rie (60398633)

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27. TAMURA Akihisa (50217189)

# of Collaborated Projects: 2 results

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28. ODA Yoshiaki (90325043)

# of Collaborated Projects: 2 results

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29. YAMASHITA Tomoki (10410458)

# of Collaborated Projects: 2 results

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30. FUJISAWA Jun (00516099)

# of Collaborated Projects: 2 results

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31. TANAKA Hiroshi (70011468)

# of Collaborated Projects: 2 results

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32. 河添健 (90152959)

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33. 藤原耕二 (60229078)

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34. 石川史郎 (10051913)

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35. 松本眞 (70231602)

# of Collaborated Projects: 2 results

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36. 林喜代司 (00102004)

# of Collaborated Projects: 2 results

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37. IKEDA Kaoru (40232178)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. KURIHARA Masato (40211221)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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40. KONNO Hiroshi (20254138)

# of Collaborated Projects: 1 results

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41. KOHNO Toshitake (80144111)

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42. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 1 results

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43. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 1 results

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44. MIYAOKA Reiko (70108182)

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45. FUTAKI Akitp (90143247)

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46. MIZUTANI Tadayoshi (20080492)

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47. OHTA Hiroshi (50223839)

# of Collaborated Projects: 1 results

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48. TANAKA Takaaki (60306850)

# of Collaborated Projects: 1 results

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49. YASUDA Kumi (40284484)

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50. KATSURA Takeshi (50513298)

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51. NAKAMOTO Atsuhiro (20314445)

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52. KOUNO Masaharu (40170203)

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53. IKEDA Hiroshi (10031353)

# of Collaborated Projects: 1 results

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54. WATAMURA Satoshi (00201252)

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55. 小山信也 (50225596)

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56. 立川篤 (50188257)

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57. 渋谷政昭 (20146723)

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58. 宮崎直哉 (50315826)

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59. OZEKI Kenta

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60. TSUCHIYA Shoichi

# of Collaborated Projects: 1 results

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61. NOGUCHI Kenta

# of Collaborated Projects: 1 results

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62. SAKUMA Tadashi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ISHII Ippei 石井 一平

石井 一平 イシイ イッペイ

ISHI Ippei 石井 一平

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Research on 3-manifolds by combinatorial and constructive methodsPrincipal Investigator

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Studies on Combinatorial Structures of 3-ManifoldsPrincipal Investigator

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多様体の組合せ構造の研究Principal Investigator

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多様体の位相構造と幾何構造の研究Principal Investigator

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3次元多様体の組合せ的位相不変量と関連諸問題の研究Principal Investigator

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ISHII Ippei 石井一平

石井一平イシイイッペイ

ISHI Ippei 石井一平