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Fujii Michihiko  藤井 道彦

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FUJII Michihiko  藤井 道彦

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Researcher Number 60254231
Other IDs
Affiliation (Current) 2025: 琉球大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2016 – 2024: 琉球大学, 理学部, 教授
2015: 京都大学, 理学研究科, 准教授
2011 – 2015: 京都大学, 理学(系)研究科(研究院), 准教授
2010: 京都大学, 理学研究科, 准教授
2010: 京都大学, 理学系研究科, 准教授 … More
2007 – 2010: Kyoto University, Graduate School of Science, Associate Professor
2007 – 2008: Kyoto University, Graduate School of Science, Associate Professor
2006: 京都大学, 大学院理学研究科, 助教授
2006: Kyoto University, Faculty of Science, Associate Professor, 大学院理工研究科, 助教授
2006: Kyoto University, Faculty of Science, Associate Professor, 理学研究科, 助教授
2003 – 2006: Kyoto University, Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授
1998 – 2003: 京都大学, 総合人間学部, 助教授
1995 – 1998: 横浜市立大学, 理学部, 助手
1994: 横浜市立大学, 文理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Basic analysis / Geometry / Algebra / Basic analysis / Algebra
Keywords
Principal Investigator
増大級数 / オートマトン / 離散群 / ブレイド群 / 多様体 / アルティン群 / 確定特異点 / 錐多様体 / 双曲多様体 / デーン手術 … More / タイヒミュラー空間 / リーマン面のモジュライ空間 / 随伴群 / deformation / hyperbolic structure / 変形 / 双曲構造 / 測地的代表元 / ケーリー・グラフ / 二面体群 / 増大関数 / 双曲幾何 / トポロジー / 幾何学 / 全測地的境界 / 双曲的多様体 / 幾何学的群論 / コクセター・カンドル / 増大度 / 写像類群 / ガーサイド標準形 / ザイフェルトファイバー空間 / ケーリーグラフ / スータブル・スプレッド法 / ガ―サイド標準形 / 基本群 / ザイフェルト・ファイバー空間 / automaton / discrete group / differential equation / cone-structure / manifold / 合流操作 / 不確定特異点 / Fuchs型微分方程式 / 微分方程式 / rational point / elliptic curve / regular singular point / hypergeometric equation / cone manifold / manifolds / 葉層構造 / モジュラー曲線 / 結び目 / 幾何構造 / 3次元多様体 / 有理点 / 楕円曲線 / 超幾何方程式 / 融合積 / ザイフェルト束 / トーラス結び目群 / 有理関数表示 / 有限生成群 / 2面体型 / 変形空間 / 双曲群 / ピソ数 / 二面体型 / 組みひも群 / 多様性 / 合流 / 超幾何函数 / 常微分方程式 / 調和ベクトル場 / 幾何構造の変形 / 構造変形 / カスプ / 双曲錐多様体 … More
Except Principal Investigator
Seiberg-Witten理論 / 4次元多様体 / 3次元多様体 / ザイフェルト多様体 / Seiberg-Witten theory / ホモロジー3球面 / 双曲構造 / Dirac operator / 4-manifold / V多様体 / ディラック作用素 / Heegaard Floerホモロジー / Floerホモロジー / 結び目 / homology 3-sphere / ゲージ理論 / Grassmann manifold / 共形場理論 / ソリトン方程式 / Dehn surgery / デーン手術 / dual pair / cone manifold / V-manifold / intersection form / spin structure / 3-manifold / 交叉形式 / 錐多様体 / スピン構造 / 3次元多様体 / 4次元多様体 / ホモロジーコボルディズム / 低次元トポロジー / 素数 / トポロジー / 基本群 / ザイフェルト3次元多様体 / Heegaard Floer homology / キャッソンハンドル / Primes / Knots / V manifold / Seifert manifold / four-dimensinal manifold / Fukumoto-Furuta不変量 / ホモロジー球面 / 幾何構造 / ディラック手術 / hyperbolic structure / conformal mapping / free fermion / gauge theory / solvable many body system / dispersionless integrable system / integrable hierarchy / インスタントン / 楕円類似 / q類似 / 広田方程式 / 共形写像 / Loewner方程式 / Calogero系 / 同変コホモロジー / ハミルトン構造 / 等モノドロミー変形 / ランダム行列 / 無分散極限 / 量子可積分系 / グラスマン多様体 / 等角写像 / 自由フェルミオン / 可解多体系 / 無分散可積分系 / 可積分階層 / Tyurin parameter / vector bundle / higher genus / algebraic curve / soliton equation / integrable system / 可換微分作用素対 / モジュライ空間 / 種類 / Grassmann多様体 / Tyurinパラメータ / ベクトル束 / 高種数 / 代数曲線 / 可積分系 / 3-manifolds / 葉層構造 / 双曲多様体 / theta lifting / invariant theory / isotropy representation / semisimple Lie groups / unitary representation / associated cycle / nilpotent orbit / 調和振動子表現 / 随伴多様体 / 巾零軌道 / Weil表現 / データ対応 / 最高ウェイト表現 / 調和解析 / 寡零軌道 / 随伴軌道 / 両側軌道分解 / アキエゼル・ギンディキン領域 / テータ対応 / 表現論 / テータ持ち上げ / デュアル・ペア / 不変式論 / 等方表現 / 半単純リー群 / ユニタリ表現 / 随伴サイクル / 冪零軌道 / projective structure / low dimensional manifold / hyperbolic geometry / Kleinian group / Riemann surface / 射影構造 / 低次元多様体 / 双曲幾何 / クライン群 / リーマン面 / 交叉形成 / symbolic computation / Groebner base / algorithm / linear partial differential equation / D-module / 数式処理 / グレブナ基底 / アルゴリズム / 線型偏微分方程式 / D-加群 / エータ不変量 / 有理ホモロジー3球面 / Seiber-Witten理論 / 幾何学 / 鉛管多様体 / 球面多様体 / フレアホモロジー / 不変量 / 微分トポロジー / 結び目と素数 / ねじれAlexander不変量 / ねじれAlexander多項式 / Twisted Alexander多項式 / 全射 / 半順序関係 / 全射準同型写像 / degree 1 map / twisted Alexander多項式 / 線型表現 / 結び目群 / 曲率 / リーマン多様体 Less
  • Research Projects

    (27 results)
  • Research Products

    (83 results)
  • Co-Researchers

    (53 People)
  •  コクセター・カンドルの随伴群とブレイド群の幾何と増大級数Principal Investigator

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      2024 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      University of the Ryukyus
  •  Geometry of the braid groups and mapping class groups and their growthPrincipal Investigator

    • Principal Investigator
      Fujii Michihiko
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      University of the Ryukyus
  •  Various invariants of 3 and 4-manifolds and their applicationsUe

    • Principal Investigator
      Ue Masaaki
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Topology of discrete groups and growth seriesPrincipal Investigator

    • Principal Investigator
      Fujii Michihiko
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      University of the Ryukyus
      Kyoto University
  •  Relations between invariants of low-dimensional manifolds and their geometric structures

    • Principal Investigator
      Ue Masaaki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Deformation spaces of discrete groups and growth functionsPrincipal Investigator

    • Principal Investigator
      FUJII MICHIHIKO
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Topology of low dimensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Deformation spaces of discrete groups and hyperbolic structuresPrincipal Investigator

    • Principal Investigator
      FUJII Michihiko
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Developing Arithmetic Topology

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Research on the deformation space of hyperbolic structures on manifoldsPrincipal Investigator

    • Principal Investigator
      FUJI Michihiko
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  The study of Low-dimensicnal manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds

    • Principal Investigator
      KITANO TERUAKI
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Soka University
      Tokyo Institute of Technology
  •  Stady of Arithmcfc Topology

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  Geometric structure and integrable systems in mathematical physics

    • Principal Investigator
      TAKASAKI Kanehisa
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  The study of low-dimensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Hyperbolic structures on manifolds and their deformationsPrincipal Investigator

    • Principal Investigator
      FUJII Michihiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Research for low-dimensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Integrable systems with higher genus spectral parameter

    • Principal Investigator
      TAKASAKI Kanehisa
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  3次元多様体上の幾何構造とその変形Principal Investigator

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Research on discrete groups and profective strucutures on Riemann surfaces

    • Principal Investigator
      NAKANISHI Toshihiro
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Geometry and Harmonic Analysis on Nilpotent Orbits

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Research for low-climensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  3次元多様体上の双曲構造の変形とリーマン面のモジュライ空間Principal Investigator

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Study on Algorithms for D-Modules

    • Principal Investigator
      OAKU Toshonori
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  リーマン多様体の幾何構造の研究

    • Principal Investigator
      市田 良輔
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yokohama City University
  •  双曲的多様体の構造変形についてPrincipal Investigator

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Yokohama City University
  •  双曲的3次元多様体の構造変形についてPrincipal Investigator

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Yokohama City University

All 2024 2023 2021 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] A new formula for the spherical growth series of an amalgamated free product of two infinite cyclic groups2018

    • Author(s)
      Michihiko Fujii
    • Journal Title

      Kodai Mathematical Journal

      Volume: 41 Pages: 475-511

    • NAID

      130007506557

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03283
  • [Journal Article] The geodesic growth series for pure Artin groups of dihedral type2017

    • Author(s)
      Michihiko Fujii and Takao Satoh
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Journal Article] Computation of the spherical growth series of finitely generated groups and monoids by using automata2015

    • Author(s)
      Michihiko Fujii
    • Journal Title

      Handbook of group actions, Vol. II, Adv. Lect. Math.

      Volume: 32 Pages: 479-521

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540076
  • [Journal Article] The growth series for pure Artin monoids of dihendral type2014

    • Author(s)
      Michihiko Fujii and Takao Satoh
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B48 Pages: 111-130

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Journal Article] The growth rates for pure Artin groups of dihedral type2014

    • Author(s)
      M. Fujii
    • Journal Title

      European Journal of Combinatorics

      Volume: 40 Pages: 108-115

    • DOI

      10.1016/j.ejc.2014.02.002

    • NAID

      120005466633

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Journal Article] A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic2013

    • Author(s)
      Michihiko Fujii and Takao Satoh
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 43 Pages: 139-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Journal Article] A necessary condition for representatives of elements of Artin groups of dihedral type2013

    • Author(s)
      M. Fujii and Takao Satoh
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 43 Pages: 139-147

    • URL

      http://projecteuclid.org/euclid.hmj

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Journal Article] The spherical growth series for pure Artin groups of dihedral type2013

    • Author(s)
      Michihiko Fujii
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 49 Issue: 3 Pages: 497-530

    • DOI

      10.4171/prims/111

    • NAID

      110009623783

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Journal Article] L^2-torsion invariants and the Magnus representation of the mapping class group, Groups of Diffeomorphisms2008

    • Author(s)
      Teruaki KITANO and Takayuki MORIFUJI
    • Journal Title

      Advanced Studies in Pure Mathematics Volume(Math. Soc. of Japan) 52

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] An expression of harmonic vertor fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007

    • Author(s)
      Michihiko, Fujii
    • Journal Title

      Publ. RIMS 43(refereed)

      Pages: 727-761

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of 2-dimensional hyperbolic cone-manif old structures2007

    • Author(s)
      Michihiko Fujii
    • Journal Title

      Kyushu J. Math. 61

      Pages: 21-34

    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] An expresson of harmonic vertor fields on hyperbolic 3-cone-manifolds In terms of hypergeometric functions2007

    • Author(s)
      藤井 道彦
    • Journal Title

      Publ. RIMS 43

      Pages: 727-761

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540081
  • [Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007

    • Author(s)
      Michihiko Fujii and Hiroyuki Ochiai
    • Journal Title

      Publ. Res. Inst. Math. Sci. 43

      Pages: 727-761

    • NAID

      110006385901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007

    • Author(s)
      M.Fujii
    • Journal Title

      Kyushu Journal of Mathematics 61

      Pages: 21-34

    • NAID

      130000063182

    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007

    • Author(s)
      M. Fujii
    • Journal Title

      Kyushu J. Math. 61

      Pages: 21-34

    • NAID

      130000063182

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures2007

    • Author(s)
      M., Fujii
    • Journal Title

      Kyushu J. Math 61

      Pages: 21-34

    • NAID

      130000063182

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007

    • Author(s)
      M. Fujii and H. Ochiai
    • Journal Title

      Publ. Res. Inst. Math. Sci. 43

      Pages: 727-761

    • NAID

      110006385901

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007

    • Author(s)
      M., Fujii, H., Ochiai
    • Journal Title

      Publ. Res. Inst. Math. Sci 43

      Pages: 727-761

    • NAID

      110006385901

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions2007

    • Author(s)
      M. Fujii and H. Ochiai
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences 43

      Pages: 727-761

    • NAID

      110006385901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Journal Article] Confluence of singular points of ordinary differential equations of Fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures.2007

    • Author(s)
      Michihiko Fujii
    • Journal Title

      kyushu J. Math. 61

      Pages: 21-34

    • NAID

      130000063182

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] A Torres condition for twisted Alexander polynomials2007

    • Author(s)
      Takayuki Morifuji
    • Journal Title

      Publ. Res. Inst. Math. Sci. 43

      Pages: 143-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] A note on von Neumann rho-invariant of surface bundles over the circle2006

    • Author(s)
      Takayuki Morifuji
    • Journal Title

      Tohoku Math. J.(2) 58・no.1

      Pages: 123-127

    • NAID

      110004308603

    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] A note on von-Neumann rho-invariant of surface bundles over the circle2006

    • Author(s)
      Takayuki Morifuji
    • Journal Title

      Tohoku Math.J. 58(未定)

    • NAID

      110004308603

    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] Knot Floer homology of (1,1)-knots2005

    • Author(s)
      Hiroshi Goda, Hirohi Matsuda, Takayuki Morifuji
    • Journal Title

      Geom.Dedicata 112

      Pages: 197-214

    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      Journal of Mathematics of Kyoto University 45

      Pages: 343-354

    • Data Source
      KAKENHI-PROJECT-17540064
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and oints of finite order on the ellintic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      J.Math.Kyoto Univ. 45-2

      Pages: 343-354

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540063
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      J.Math.Kyoto Univ. 45・2

      Pages: 343-354

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      J.Math.Kyoto Univ. 45・No.2

      Pages: 343-354

    • Data Source
      KAKENHI-PROJECT-16540063
  • [Journal Article] Degenaration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      J.Math.Kyoto Univ. Vol.45

      Pages: 343-354

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      Michihiko Fujii
    • Journal Title

      J. Math. Kyoto Univ. 45・2

      Pages: 343-354

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540063
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      M.Fujii
    • Journal Title

      Journal of Mathematcs of Kyoto University 45

      Pages: 343-354

    • Data Source
      KAKENHI-PROJECT-16340040
  • [Journal Article] Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve2005

    • Author(s)
      M.Fujii
    • Journal Title

      Journal of Mathematics of Kyoto University 45

      Pages: 343-354

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340040
  • [Journal Article] Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them2004

    • Author(s)
      藤井 道彦
    • Journal Title

      R.I.M.S.Kokyuroku 1387

      Pages: 16-30

    • Data Source
      KAKENHI-PROJECT-16540063
  • [Journal Article] Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them2004

    • Author(s)
      Michihiko Fujii
    • Journal Title

      R.I.M.S.Kokyuroku 1387

      Pages: 16-30

    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] An algorithm for solving linear ordinary differential equations of Fuchsian type with three singular points2003

    • Author(s)
      M.Fujii, H.Ochiai
    • Journal Title

      Interdisciplinary Information Sciences 9

      Pages: 189-200

    • NAID

      110000071790

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations of Fuchsian type2003

    • Author(s)
      Michihiko Fujii
    • Journal Title

      RIMS Kokyuroku Vol.1329

      Pages: 102-108

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations2003

    • Author(s)
      Michihiko Fujii
    • Journal Title

      RIMS Kokyuroku 1329

      Pages: 102-108

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] An algorithm for solving linear ordinary differential equations of Fuchsian type with three singular points2003

    • Author(s)
      M.Fujii, H.Ochiai
    • Journal Title

      Interdisciplinary Information Sciences Vol.9

      Pages: 189-200

    • NAID

      110000071790

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] A Torres condition for twisted Alexander polynomials,

    • Author(s)
      Takayuki Morifuji
    • Journal Title

      Publ.Res.Inst.Math.Sci. (未定)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540064
  • [Presentation] Growth of Garside Groups2024

    • Author(s)
      藤井道彦
    • Organizer
      拡大版「リーマン面・不連続群論」
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03283
  • [Presentation] The spherical growth series of amalgamated free products of infinite cyclic groups2023

    • Author(s)
      藤井道彦、逆井卓也
    • Organizer
      日本数学会・秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K03283
  • [Presentation] The geodesic growth of a Seifert fiber space2021

    • Author(s)
      Michihiko Fujii
    • Organizer
      RIMS Workshop, Geometry of discrete groups and hyperbolic spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03283
  • [Presentation] How a geodesic representative of an element of the braid group is obtained2018

    • Author(s)
      藤井 道彦
    • Organizer
      Geomety of Riemann surfaces and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03283
  • [Presentation] The geodesic growth series for Seifert fiber spaces over disks with two cone points2017

    • Author(s)
      Michihiko Fujii
    • Organizer
      Journes de Geometrie Hyperbolique
    • Place of Presentation
      University of Fribourg, Fribourg, Switzerland
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] On the growth of torus knot groups2016

    • Author(s)
      Michihiko Fujii
    • Organizer
      Oberseminar
    • Place of Presentation
      University of Fribourg, Switzerland
    • Year and Date
      2016-03-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] On the growth of torus knot groups2016

    • Author(s)
      藤井道彦
    • Organizer
      複素解析セミナー
    • Place of Presentation
      大阪市立大学、大阪府大阪市住吉区杉本
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] On the growth of torus knot groups2015

    • Author(s)
      Michihiko Fujii
    • Organizer
      Geometry and Analysis of Discrete Groups and Hyperbolic Spaces
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-06-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] The growth series for pure Artin groups of dihedral type2015

    • Author(s)
      Michihiko Fujii
    • Organizer
      日本数学会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-21
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] On geodesic representatives of braid groups2014

    • Author(s)
      藤井 道彦
    • Organizer
      Ober seminar
    • Place of Presentation
      University of Fribourg, Switzerland
    • Year and Date
      2014-03-19
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth rates for pure Artin groups of dihedral type2014

    • Author(s)
      Michihiko Fujii
    • Organizer
      Growth 2
    • Place of Presentation
      大阪市立大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] A sufficient condition for representatives of elements of braid groups to be geodesic2014

    • Author(s)
      藤井 道彦
    • Organizer
      Workshop "Growth 2"
    • Place of Presentation
      大阪市立大学大学院理学研究科
    • Year and Date
      2014-02-04
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth rates for pure Artin groups of dihedral type2014

    • Author(s)
      藤井 道彦
    • Organizer
      研究集会「離散群と双曲空間のトポロジーと複素解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-01-23
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On geodesic representatives of elements of braid groups2014

    • Author(s)
      Michihiko Fujii
    • Organizer
      Geometry Open Seminar
    • Place of Presentation
      University of Fribourg, Switzerland
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On geodesic representatives of elements of braid groups2014

    • Author(s)
      Michihiko Fujii
    • Organizer
      北海道大学幾何学コロキウム
    • Place of Presentation
      北海道大学大学院理学研究科
    • Year and Date
      2014-06-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400086
  • [Presentation] On geodesic representatives of elements of braid groups2014

    • Author(s)
      Michihiko Fujii
    • Organizer
      Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On geodesic representatives of elements of braid groups2013

    • Author(s)
      藤井 道彦
    • Organizer
      研究集会「低次元多様体の基本群とその表現に関連する様々な構造について」
    • Place of Presentation
      国際奈良学セミナーハウス
    • Year and Date
      2013-10-31
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth rates for pure Artin groups of dihedral type2013

    • Author(s)
      藤井 道彦
    • Organizer
      鹿児島大学理学部談話会
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2013-10-23
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth series for pure Artin groups of dihedral type2013

    • Author(s)
      Michihiko Fujii
    • Organizer
      鹿児島大学理学部談話会
    • Place of Presentation
      鹿児島大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On geodesic representatives of elements of braid groups2013

    • Author(s)
      Michihiko Fujii
    • Organizer
      低次元多様体の基本群とその表現に関する様々な構造について
    • Place of Presentation
      奈良学センター
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On the growth functions of Artin groups of finite type2012

    • Author(s)
      藤井 道彦
    • Organizer
      Workshop "Growth"
    • Place of Presentation
      大阪市立大学大学院理学研究科
    • Year and Date
      2012-02-21
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth series of pure Artin groups of dihedral type2012

    • Author(s)
      藤井 道彦
    • Organizer
      International Conference "Group Actions and Applications in Geometry, Topology and Analysis"
    • Place of Presentation
      Kunming, China
    • Year and Date
      2012-07-29
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth series of pure Artin groups of dihedral type2012

    • Author(s)
      Michihiko Fujii
    • Organizer
      Group actions and applications in geometry, topology and analysis
    • Place of Presentation
      Kunming, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] On the growth functions of Artin groups of finite type2012

    • Author(s)
      Michihiko Fujii
    • Organizer
      Growth
    • Place of Presentation
      Osaka City University
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth series of pure Artin groups of dihedral type2012

    • Author(s)
      藤井 道彦
    • Organizer
      トポロジー火曜セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2012-10-09
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth functions of pure Artin groups of dihedral type2012

    • Author(s)
      Michihiko Fujii
    • Organizer
      Branched Coverings, Degenerations, and Related Topics
    • Place of Presentation
      Hiroshima University
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth functions of pure Artin groups of dihedral type2012

    • Author(s)
      藤井 道彦
    • Organizer
      Workshop "Branched Covering, Degenarations, and Related Topics"
    • Place of Presentation
      広島大学大学院理学研究科
    • Year and Date
      2012-03-08
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth functions of pure Artin groups of dihedral type2011

    • Author(s)
      藤井 道彦
    • Organizer
      研究集会「離散群と双曲空間の解析と幾何」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-12-15
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] ブレイド群の測地的元と増大関数2011

    • Author(s)
      藤井 道彦
    • Organizer
      幾何セミナー
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2011-11-12
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The growth functions of pure Artin groups od dihedral type2011

    • Author(s)
      Micihiko Fujii
    • Organizer
      Analysis and Geometry of Discrete Groups and Hyperbolic Spaces
    • Place of Presentation
      Kyoto University
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] Growth functions of pure Artin groups2011

    • Author(s)
      藤井道彦
    • Organizer
      Ober Seminar
    • Place of Presentation
      Fribourg. Switerland
    • Year and Date
      2011-03-14
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of Artin groups,II2010

    • Author(s)
      藤井道彦
    • Organizer
      トポロジーの現在と未来
    • Place of Presentation
      四季の湯強羅青雲荘(招待講演)
    • Year and Date
      2010-12-22
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth function of Artin groups II2010

    • Author(s)
      藤井道彦
    • Organizer
      トポロジーの現在と未来
    • Place of Presentation
      四季の湯強羅青雲荘
    • Year and Date
      2010-12-22
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Growth functions of Artin groups II2010

    • Author(s)
      藤井道彦
    • Organizer
      トポロジーの現在と未来
    • Place of Presentation
      四季の湯強羅青雲荘
    • Year and Date
      2010-12-22
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of Artin groups2009

    • Author(s)
      藤井道彦
    • Organizer
      Seminar at Ecole Polytechnique Federal de Lausanne
    • Place of Presentation
      Lausanne. Switerland
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of discrete groups2009

    • Author(s)
      藤井道彦
    • Organizer
      微分・代数トポロジーの現在と未来
    • Place of Presentation
      かんぽの宿 徳島
    • Year and Date
      2009-11-11
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of Artin groups2009

    • Author(s)
      藤井道彦
    • Organizer
      Ober Seminar
    • Place of Presentation
      Fribourg. Switerland
    • Year and Date
      2009-11-02
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of discrete groups2009

    • Author(s)
      藤井道彦
    • Organizer
      微分・代数トポロジーの現在と未来
    • Place of Presentation
      かんぽの宿徳島
    • Year and Date
      2009-11-11
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Growth functions of Artin groups2009

    • Author(s)
      藤井道彦
    • Organizer
      Seminar at Ecole Polytechnique Federal de Lausanne
    • Place of Presentation
      Lausanne.
    • Year and Date
      2009-11-26
    • Data Source
      KAKENHI-PROJECT-20540072
  • [Presentation] Growth functions of discrete groups2009

    • Author(s)
      藤井道彦
    • Organizer
      微分・代数トポロジーの現在と未来
    • Place of Presentation
      かんぽの宿徳島
    • Year and Date
      2009-11-11
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Presentation] Growth functions of Fuchsian groups2008

    • Author(s)
      藤井 道彦
    • Organizer
      Riemann surfaces and discrete groups
    • Place of Presentation
      岡山大学理学部
    • Year and Date
      2008-01-14
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Presentation] Growth functions of Fuchsian groups2006

    • Author(s)
      M., Fujii
    • Organizer
      Conference, Riemann surfaces and discrete groups
    • Place of Presentation
      Okayama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Presentation] On singular points of ordinary differential equations on hyperbolic cone-manifolds2006

    • Author(s)
      M., Fujii
    • Organizer
      Workshop, Actions of hyperbolic groups on specific manifolds and related topics
    • Place of Presentation
      Tokyo Metropolitan University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
  • [Presentation] On singular points of ordinary differential equations on hyperbolic cone-manifolds2006

    • Author(s)
      藤井 道彦
    • Organizer
      Actions of hyperbolic groups on specific manifolds and related topics
    • Place of Presentation
      首都大学東京大学院理工学研究科
    • Year and Date
      2006-06-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540080
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  • 2.  KATO Shinichi (90114438)
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  TAKAYAMA Nobuki (30188099)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  ASANO Kiyoshi (90026774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  SAKURAGAWA Takashi (60196136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  NAKANISHI Toshihiro (00172354)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  OHOSHIKA Ken'ichi (70183225)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  SATO Hiroki (40022222)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  SHIGA Hiroshige (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  TANIGUCHI Masahiko (50108974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  MATSUKI Toshihiko (20157283)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  OHTA Takuya (30211791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  SEKIGUCHI Jiro (30117717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  YAMASHITA Hiroshi (30192793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KONO Norio (90028134)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  UEKI Naomasa (80211069)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  SHIMIZU Yuji (80187468)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  KOHNO Toshtake (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  市田 良輔 (10094294)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  一楽 重雄 (30046130)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  納谷 信 (70222180)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  上田 哲生 (10127053)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  足助 太郎 (30294515)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  塩田 隆比呂 (20243008)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  山内 正敏 (30022651)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  MATSUMOTO Mineko
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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