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ISHII Ippei  石井 一平

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… Alternative Names

石井 一平  イシイ イッペイ

ISHI Ippei  石井 一平

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Researcher Number 90051929
Affiliation (Current) 2022: 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
1998: 慶應義塾大学, 理工学部, 助教授
1994 – 1996: 慶應義塾大学, 理工学部, 助教授
1992: 慶応義塾大学, 理工学部, 助教授
1991: Keio University Associate Professor
1989: 慶応義塾大学, 理工学部, 助教授
1988: 慶應義塾大学, 理工学部, 専任講師
1988: 慶應義塾大学, 理工学部, 講師
1986: 慶応義塾大学, 理工学部, 講師 Less
Review Section/Research Field
Principal Investigator
Geometry / 代数学・幾何学 / Geometry
Except Principal Investigator
代数学・幾何学 / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Geometry / Global analysis
Keywords
Principal Investigator
3次元多様体 / スパイン / spine / 位相不変量 / デーン手術 / グラフ / ヘゴール分解 / 双曲多様体 / 3-manifold / Heegaard splitting … More / 組み紐群 / 量子群 / ポアソン環 / ヘゴ-ド分解 / 局面の三角形分割 / 写像類群 / へゴール分解 / ポアンカレ予想 / 三次元多様体 / Heegaard分解 / framed link / Dehn手術 / DS-deagram / Dehn surgery / Poincare conjecture / ヘゴード分解 / ザイフェルト多様体 / シンプレクティック多様体 / エゴード分解 / Seifert fibered space / hyperbolic manifold / topological invariant / symplectic manifold … More
Except Principal Investigator
調和写像 / 量子化問題 / 変形量子化 / 国際研究者交流 / 国際情報交換 / 指数定理 / 非可換多様体 / ジャーブ / 超弦理論 / 変形量子化問題 / シンプレクティック幾何学 / 非可換微分幾何学 / deformation quantization / 連分数 / 禁止部分グラフ / 完全マッチング / タフネス / グラフ理論 / グラフマイナー / ポアソン構造 / Gerbe / 局所等長理入問題 / Yang-Mills gradient flow / Weyl manifold / 保測変換群 / 非圧縮流体方程式 / ザイフェルト・ファイバ-構造 / 変分問題解の正則性 / 群作用 / 剛性 / 葉層構造 / 接コモホロジー / 二変数Bassel関数 / 漸近展開 / ストークス係数 / Rauzyの予想 / 2-スリット実験 / 非可換幾何学 / ポアソン幾何学 / 非可換ゲージ理論 / 中国:スイス:アメリカ / regularization / 擬微分作用素 / スペクトル理論 / オーストラリア:アメリカ:イタリア / 量子コホモロジー / 岩沢理論 / イギリス:フランス:ベルギー:中国:コロンビア / Lie algebroid / Floer homology / Parabolic geometry / Dirac structure / symplectic geometry / 非アルキメデス数体 / 測度論的数論 / 測度論敵数論 / フランス:オランダ:イスラエル / イタリア:フランス:オランダ / 組合せ論 / グラフ / マイナー / 禁止マイナー / クローフリーグラフ / 閉曲面上への埋め込み / 全域木 / 極値問題 / 弦付きサイクル / シータグラフ / マッチング拡張性 / Hadwiger予想 / 彩色問題 / 森グラフ / アメリカ / 台湾 / アメリカ:台湾 / 超越数 / 無理性の尺度 / 3次元多様体 / スパイン / ハミルトン系 / エネルギー曲面 / 周期解 / 凸曲面 / ヒルベルト変換 / 作用素の1径数群 / 超関数 / 熱方程式 / ラプラシアン / クリフォード代数 / 変分問題 / 極小曲面 / 非線形放物型偏微分方程式 / 連続体力学 / 圧縮性流体方程式 / 自由境界問題 / ハミルトン系の周期解 / 位相力学 / 低次元トポロジー / 大域解析学 / nonlinear analysis / (compressibla,incompressible)Navier-Stokes equations / free boundary problem / slip boundary problem / Campanoto type estimates / flow-spines and Seifert fibered structure / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / フラクタル / 結び目理論 / マルコフ過程 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / Markov process / 非特異エルゴード変換 / マルコフシフト / 多重再帰性 / 形式的べき級数 / II_∞型エルゴード変換 / dissipative sequence / upper Banach density / weakly wandering sequence / Zの直和分解 / Pascal-adic変換 / 2次元ランドム・ウォーク / Rogers-Ramanujan連分数展開 / II_∞型変換 / III_λ型変換 / Pascal-addic変換 / weakly mixing / NONSINGULAR TRANSFORMATION / MARKOV SHIFT / MULTIPLE RECURRENCE / FORMAL POWER SERIES / 変型量子化 / グループポイド / ローブレイン / ホッホシルトコホモロジー / Navier-Stokes equatin / Seiberg Witten equatin / non commutative geometry / Painleve equatin / K-theory / 弦理論 / Seiberg-Witten不変量 / deformation quantizations / groupoids / Index theorem / D-brane / Hochshields cohomology / 非日間微分幾何学 / 接触幾何学 / サイクリックコホモロジー / ループ空間 / シンプレクティック多様体 / 接触多様体 / 幾何学的量子化 / 積分可能系 / 接触構造 / Nambu-Jacobi構造 / Poisson groupoid / 漸近解析 / Symplectic Geometry / Noncommutative geometry / Symmplectic geometry / Contact geometry / quantization problems / cyclic cohomology / Loop spaces Less
  • Research Projects

    (19 results)
  • Research Products

    (7 results)
  • Co-Researchers

    (61 People)
  •  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

    • NAID

      120005986765

    • 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

    • NAID

      120005986765

    • 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)

    • NAID

      10016620864

    • 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

    • NAID

      10016620864

    • 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)

    • NAID

      10016620864

    • 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.  WATAMURA Satoshi (00201252)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  MIKAMI Kentaro (70006592)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  ONO Kaoru (20204232)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  OBATA Morio (90087015)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  TAMURA Yozo (50171905)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  ATSUJI Atsushi (00221044)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  OMORI Hideki (20087018)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  MATSUO Yuyaka (50202320)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  NATSUI Rie (60398633)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  TAMURA Akihisa (50217189)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  ODA Yoshiaki (90325043)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  YAMASHITA Tomoki (10410458)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  FUJISAWA Jun (00516099)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 31.  TANAKA Hiroshi (70011468)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 32.  河添 健 (90152959)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 33.  藤原 耕二 (60229078)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 34.  石川 史郎 (10051913)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 35.  松本 眞 (70231602)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 36.  林 喜代司 (00102004)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 40.  KONNO Hiroshi (20254138)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  MITSUMATSU Yoshihiko (70190725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  FUTAKI Akitp (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  YASUDA Kumi (40284484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  KATSURA Takeshi (50513298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  NAKAMOTO Atsuhiro (20314445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  KOUNO Masaharu (40170203)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  IKEDA Hiroshi (10031353)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  小山 信也 (50225596)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  立川 篤 (50188257)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  渋谷 政昭 (20146723)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  宮崎 直哉 (50315826)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  OZEKI Kenta
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  TSUCHIYA Shoichi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  NOGUCHI Kenta
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  SAKUMA Tadashi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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