Ishikawa Masaharu 石川昌治

… Alternative Names

ISHIKAWA Masaharu 石川昌治

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Researcher Number	10361784
Other IDs
Affiliation (Current)	2025: 慶應義塾大学, 経済学部(日吉), 教授
Affiliation (based on the past Project Information) *help	2018 – 2024: 慶應義塾大学, 経済学部(日吉), 教授 2019: 東北大学, 理学研究科, 准教授 2016 – 2017: 東北大学, 理学研究科, 准教授 2015: 東北大学, 大学院理学研究科, 准教授 2012 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授 … More 2008 – 2012: Tohoku University, 大学院・理学研究科, 准教授 2007: Tokyo Institute of Technology, 大学院・理工学研究科, 助教 2005 – 2006: 東京工業大学, 大学院理工学研究科, 助手 2003 – 2005: 東京工業大学, 大学院・理工学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 接触構造 / 特異点 / 多面体 / 安定写像 / 特異点論 / Stein fillable / ファイバー結び目 / オープンブック分解 / 無限遠の特異点 / ４次元多様体 … More / ３次元多様体 / 混合多項式 / 特異点の変形 / ３次元多様体論 / 低次元トポロジー / 結び目理論 / 円作用 / 複素特異点 / ２次元結び目 / 多様体 / 幾何学 / トーリック型コンパクト化 / Gromov norm / shadow / ハンドル分解 / ミルナー束 / 3次元多様体論 / 結び目論理 / Divide / 3次元多様体 / オーブンブック分解 / Stein fillabale … More Except Principal Investigator 特異ファイバー / 特異点 / 微分位相幾何 / 幾何的トポロジー / 特異Lefschetz束 / 不変量 / データ可視化 / 同境群 / Reidemeister torsion / マグニチュード / 数え上げ / 二重被覆空間 / 対数的ベクトル場 / 超平面配置 / レフシェッツ束 / 多様体対 / 多目的最適化 / 特異Lefschetz構造 / 位相的複雑さ / はめ込まれた曲面結び目 / shadow / trisection / 特異点論 / 特異点集合 / 非特異ファイバー / 沈めこみ / 相対的特性類 / 符号数 / 絡み数 / 安定写像 / ファイバー / コホモロジー環 / スペシャル・ジェネリック写像 / 位相的複雑度 / LSカテゴリー / 臨界値 / Reebグラフ / Reeb空間 / 産業数学 / 低次元トポロジー / パーシステントホモロジー / 波面 / 双対平坦構造 / 情報幾何学 / 次世代カタストロフ理論 / モノドロミー / Morse関数 / round fold map / 次世代カタストロフィー理論 / Lefschetz束 / Vassiliev型不変量 / 多様体 / Riley slice / 結び目理論 / ３次元多様体 / 交代絡み目 / 放物的生成系 / ２橋絡み目 / モノドロミー群 / 橋分解 / ザイフェルト曲面 / 強可逆結び目 / 交代結び目 / Hopfian群 / 自由周期結び目 / 解消トンネル / アキラル / 自由周期 / シンメトリー群 / CAT(0)空間 / デーン手術 / 離散群 / 穴あきトーラス / spatial deformation group / monodromy group / 放物的変換 / Heckoid群 / 測地線 / 放物変換 / 双曲結び目 / 写像類群 / ヘガード分解 / 双曲構造 / クライン群 / ２橋結び目 / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特性類 / 特異点解消 / 特異性類 / 同境 / ブラジル：フランス / 国際研究者交流 / 配置空間 / 実多項式写像芽 / 構造安定性 / 可微分写像 / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / Chern-Simons invariant / quantum invariant / volume conjecture / colored Jones polynomial / 3-mainfold / knot / Dehn手術 / 8の字結び目 / トーラス結び目 / Alexander多項式 / Jones多項式 / 体積 / torus結び目 / Chern-Simons不変量 / 量子不変量 / 体積予想 / 色付きJones多項式 / 3次元多様体 / 結び目 Less

Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
- Principal Investigator
  
  吉永正彦
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
低次元多様体からの写像の組み合わせ及び幾何学的視点からの大域的研究Principal Investigator
- Principal Investigator
  
  石川昌治
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Keio University
Study of geometric structures of singularities and manifolds based on polyhedraPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Masaharu
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Keio University
Innovative research of geometric topology and singularities of differentiable mappings
- Principal Investigator
  
  SAEKI Osamu
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Innovation of singularity theory of mappings and new development of topology
- Principal Investigator
  
  佐伯修
- Project Period (FY)
  2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Topological study of real singularities and manifolds using fibring structuresPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Masaharu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
  Tohoku University
Geometric structures and combinaorial structures of 3-manifolds
- Principal Investigator
  
  Sakuma Makoto
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Deformations of real singularities and decompositions of monodromiesPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA MASAHARU
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
多項式写像および混合多項式写像の無限遠の特異点の位相的研究Principal Investigator
- Principal Investigator
  
  石川昌治
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
New developments of singularity theory of mappings
- Principal Investigator
  
  SAEKI OSAMU
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Study on quasipositive surfaces in manifolds with contact structures and applications to complex singularity theoryPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Masaharu
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Research on open book decompositions appearing on the boundary of complex domains with contact structuresPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Masaharu
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
  Tokyo Institute of Technology
平面曲線から構成される、多様体のオープンブック分解と接触構造に関する研究Principal Investigator
- Principal Investigator
  
  石川昌治
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Various inbariants appearing in low-dimensional topology
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technorogy

[Book] Singularities ー Kagoshima 2017, Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities2020
- Author(s)
  Masaharu Ishikawa, Shoji Yokura (Editors-in-Chief)
- Total Pages
  397
- Publisher
  World Scientific Publishing
- ISBN
  9789811206023
- Data Source
  KAKENHI-PROJECT-17H06128
[Book] Singularities ― Kagoshima 2017, Proceedings of the 5th Franco- Japanese-Vietnamese Symposium on Singularities2020
- Author(s)
  Masaharu Ishikawa, Shoji Yokura (Editors-in-Chief)
- Total Pages
  397
- Publisher
  World Scientific Publishing
- Data Source
  KAKENHI-PROJECT-19K03499
[Book] 曲空間の幾何学―古典幾何から初等微分幾何まで―2009
- Author(s)
  P.M.H.ウィルソン著, 小島定吉監訳, 石川昌治訳
- Total Pages
  216
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] Presentation of the fundamental groups of complements of shadows2023
- Author(s)
  Masaharu Ishikawa, Yuya Koda, Hironobu Naoe:
- Journal Title
  
  Essays in Geometry Dedicated to Norbert A’Campo
  
  Volume: - Pages: 557-588
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] Positive flow-spines and contact 3-manifolds2023
- Author(s)
  Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: - Issue: 5 Pages: 2091-2126
- DOI
  10.1007/s10231-023-01314-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-20K14316, KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-23H05437
[Journal Article] Positive flow-spines and contact 3-manifolds, II2023
- Author(s)
  Ishii Ippei、Ishikawa Masaharu、Koda Yuya、Naoe Hironobu
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: － Issue: 3 Pages: 2091-2126
- DOI
  10.1007/s10231-023-01400-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14316, KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-23H05437, KAKENHI-PROJECT-23K20798
[Journal Article] シャドウ補空間の基本群の表示2022
- Author(s)
  石川昌治、古宇田悠哉、直江央寛
- Journal Title
  
  研究集会「結び目の数理 IV 」報告集
  
  Volume: - Pages: 299-309
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] S-stable foliations on flow-spines with transverse Reeb flow2021
- Author(s)
  Handa Shin, Ishikawa Masaharu
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 51 Issue: 1 Pages: 77-99
- DOI
  10.32917/h2020026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] S-stable foliations on flow-spines with transverse Reeb flow2021
- Author(s)
  Shin Handa, Masaharu Ishikawa
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 51 Pages: 77-99
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] Alternating knots with large boundary slope diameter2020
- Author(s)
  Masaharu Ishikawa, Thomas W. Mattman, Kazuya Namiki, Koya Shimokawa
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 760 Pages: 207-216
- DOI
  10.1090/conm/760/15292
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-17H06128
[Journal Article] アワビとザイフェルト束の横断性について2020
- Author(s)
  石川昌治
- Journal Title
  
  Hakone Seminar
  
  Volume: 35 Pages: 9-30
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2020
- Author(s)
  Masaharu Ishikawa, Hironobu Naoe
- Journal Title
  
  Proceedings of FJV2017 Kagoshima: "Singularities --- Kagoshima".
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05140
[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2020
- Author(s)
  Masaharu Ishikawa, Hironobu Naoe
- Journal Title
  
  Singularities ― Kagoshima 2017, Proceedings of the 5th Franco- Japanese-Vietnamese Symposium on Singularities, World Scientific Publishing
  
  Volume: - Pages: 95-116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2020
- Author(s)
  Masaharu Ishikawa, Hironobu Naoe
- Journal Title
  
  Singularities ― Kagoshima 2017, Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities, World Scientific Publishing
  
  Volume: － Pages: 95-116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] アワビとザイフェルト束の横断性について2020
- Author(s)
  石川昌治
- Journal Title
  
  Hakone Seminar
  
  Volume: 35 Pages: 9-30
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] Milnor fibration, A'Campo's divide and Turaev's shadow2019
- Author(s)
  Masaharu Ishikawa, Hironobu Naoe
- Journal Title
  
  Proceedings of FJV2017 Kagoshima: "Singularities --- Kagoshima"
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] Bifurcation sets of real polynomial functions of two variables and Newton polygons2019
- Author(s)
  Masaharu Ishikawa, Tat-Thang Nguyen, Tien-Son Pham
- Journal Title
  
  Journal of Mathematical Society of Japan
  
  Volume: 未定
- NAID
  130007733324
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] Positive flow-spines and contact structures - a short summary2019
- Author(s)
  石井一平，石川昌治，古宇田悠哉，直江央寛
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2129 Pages: 34-40
- Open Access
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] Bifurcation sets of real polynomial functions of two variables and Newton polygons2019
- Author(s)
  Masaharu Ishikawa, Tat-Thang Nguyen, Tien-Son Pham
- Journal Title
  
  Journal of Mathematical Society of Japan
  
  Volume: -
- NAID
  130007733324
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Journal Article] Bifurcation sets of real polynomial functions of two variables and Newton polygons2019
- Author(s)
  石川昌治, Tat-Thang Nguyen, Tien-Son Pham
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71 Issue: 4 Pages: 1201-1222
- DOI
  10.2969/jmsj/80518051
- NAID
  130007733324
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499, KAKENHI-PROJECT-17H06128
[Journal Article] ３次元多様体の接触構造とフロースパイン2019
- Author(s)
  石川昌治
- Journal Title
  
  Hakone Seminar
  
  Volume: 34 Pages: 7-31
- Data Source
  KAKENHI-PROJECT-19K03499
[Journal Article] ３次元多様体の接触構造とフロースパイン2019
- Author(s)
  石川昌治
- Journal Title
  
  Hakone Seminar
  
  Volume: 34 Pages: 7-31
- Data Source
  KAKENHI-PROJECT-17H06128
[Journal Article] On Innermost Circles of the Sets of Singular Values for Generic Deformations of Isolated Singularities2017
- Author(s)
  Kazumasa Inaba, Masaharu Ishikawa, Masayuki Kawashima, Nguyen Tat Thang
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 42 Issue: 2 Pages: 237-247
- DOI
  10.1007/s40306-016-0200-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Journal Article] Virtual unknotting numbers of certain virtual torus knots2017
- Author(s)
  Masaharu Ishikawa, Hirokazu Yanagi
- Journal Title
  
  Journal of Knot Theory and Its Ramifications 26
  
  Volume: 26 Issue: 11 Pages: 1750070-1750070
- DOI
  10.1142/s0218216517500705
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05140
[Journal Article] On linear deformations of Brieskorn singularities of two variables into generic maps2016
- Author(s)
  稲葉和正，石川昌治，川島正行，Nguyen Tat Thang
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 掲載確定
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400078
[Journal Article] Construction of spines of two-bridge link complements and upper bounds of their Matveev complexities2016
- Author(s)
  石川昌治，根本啓介
- Journal Title
  
  Hiroshima Mathematical Journal
  
  Volume: 掲載確定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400078
[Journal Article] Stable maps and branched shadows of 3-manifolds2016
- Author(s)
  石川昌治，古宇田悠哉
- Journal Title
  
  Mathematische Annalen
  
  Volume: 掲載確定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400078
[Journal Article] A note on linear deformations of plane curve singularities2015
- Author(s)
  稲葉和正，石川昌治，川島正行，Nguyen Tat Thang
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1948 Pages: 77-84
- Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400078
[Journal Article] Tangle sums, norm curves, and cyclic surgeries2013
- Author(s)
  Masaharu Ishikawa, Thomas W. Mattman, Koya Shimokawa
- Journal Title
  
  Proceedings of the June 2012 RIMS Seminar "Representation spaces, twisted topological invariants and geometric structures of 3-manifolds."
  
  Volume: 未定 Pages: 18-33
- Data Source
  KAKENHI-PROJECT-22740032
[Journal Article] Compatible contact structures of fibered Seifert links in homology 3-spheres2012
- Author(s)
  Masaharu Ishikawa
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 64 Pages: 25-59
- NAID
  130005128508
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740032
[Journal Article] Legendrian framings for two-bridge links2011
- Author(s)
  Sebastian Baader, Masaharu Ishikawa
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: 139 Pages: 4513-4520
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740032
[Journal Article] Finite surgeries on three-tangle pretzel knots2009
- Author(s)
  D.Futer, M.Ishikawa, Y.Kabaya, T.Mattman, K.Shimokawa
- Journal Title
  
  Algebraic & Geometric Topology 9
  
  Pages: 743-771
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] On the contact structure of a class of real analytic germs of the form $f\bar{g}$2009
- Author(s)
  M.Ishikawa
- Journal Title
  
  Advanced Studies in Pure Mathematics 56
  
  Pages: 201-223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] Legendrian graphs and quasipositive diagrams2009
- Author(s)
  S.Baader, M.Ishikawa
- Journal Title
  
  Annales de la Faculte des Sciences de Toulouse XVIII
  
  Pages: 285-305
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] Legendrian graphs and quasipositive diagrams2009
- Author(s)
  Sebastian Baader、石川昌治
- Journal Title
  
  Annales de la Faculte des Sciences de Toulouse XVIII巻
  
  Pages: 285-305
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] On the contact structure of a class of real analytic germs of the form f\bar g、Singularities-Niigata-Toyama 20072009
- Author(s)
  石川昌治
- Journal Title
  
  Advanced Studies in Pure Mathematics 56巻
  
  Pages: 201-223
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] Finite surgeries on three-tangle pretzel knots2009
- Author(s)
  David Futer、石川昌治、蒲谷祐一、Thomas Mattman、下川航也
- Journal Title
  
  Algebraic & Geometric Topology 9巻
  
  Pages: 743-771
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740029
[Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed links2006
- Author(s)
  M.Ishikawa
- Journal Title
  
  Topology 45
  
  Pages: 325-342
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed link2006
- Author(s)
  M.Ishikawa
- Journal Title
  
  Topology 45・2
  
  Pages: 325-342
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Positive open book decompositions of Stein fillable 3-manifolds along prescribed links2006
- Author(s)
  石川昌治
- Journal Title
  
  Topology 45
  
  Pages: 325-342
- Data Source
  KAKENHI-PROJECT-16740031
[Journal Article] Exceptional surgery and boundary slopes2006
- Author(s)
  M.Ishikawa, T.Mattman, K.Shimokawa
- Journal Title
  
  Osaka Journal of Mathematics 43
  
  Pages: 807-821
- NAID
  120004845749
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Exceptiona 1 surgery and boundary slopes2006
- Author(s)
  M.Ishikawa, T.Mattman, K.Shimokawa
- Journal Title
  
  Osaka Journal of Mathematics 43
  
  Pages: 807-821
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] On the Thurston-Bennequin invariant of graph divide links2005
- Author(s)
  石川昌治
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society 139
  
  Pages: 487-495
- Data Source
  KAKENHI-PROJECT-16740031
[Journal Article] On the Thurston-Bennequin invariant of graph divide links2005
- Author(s)
  M.Ishikawa
- Journal Title
  
  Math.Proc.Camb.Phil.Soc. 139
  
  Pages: 487-495
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] On the Thurston-Bennequin in variant of graph divide links2005
- Author(s)
  M.Ishikawa
- Journal Title
  
  Math.Proc.Camb.Phil.Soc. (掲載予定)
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] On the Thurston-Bennequin invariant of graph divide links2005
- Author(s)
  石川昌治
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society (発表予定)
- Data Source
  KAKENHI-PROJECT-16740031
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  石川昌治, T.C.Nguyen, 岡睦雄
- Journal Title
  
  Kodai Mathematical Journal 27
  
  Pages: 237-260
- NAID
  130003574463
- Data Source
  KAKENHI-PROJECT-16740031
[Journal Article] Tangent circle bundles admit positive open book decompositions along arbitrary links2004
- Author(s)
  M.Ishikawa
- Journal Title
  
  Topology 43
  
  Pages: 215-232
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] On topological types of reduced sextics2004
- Author(s)
  M.Ishikawa, T.C.Nguyen, M.Oka
- Journal Title
  
  Kodai Math.J. 27・3
  
  Pages: 237-260
- NAID
  130003574463
- Data Source
  KAKENHI-PROJECT-15340019
[Journal Article] Tangent circle bundles admit positive open book decompositions along arbitrary links2004
- Author(s)
  石川昌治
- Journal Title
  
  Topology 43
  
  Pages: 215-232
- Data Source
  KAKENHI-PROJECT-16740031
[Journal Article] Exceptional surgery and boundary slopes
- Author(s)
  M.Ishikawa, T.W.Mattman, K.Shimokawa
- Journal Title
  
  Osaka J.Math. (掲載予定)(決定)
- NAID
  120004845749
- Data Source
  KAKENHI-PROJECT-15340019
[Presentation] Circle actions on the 4-sphere and 3-orbifold groups2024
- Author(s)
  石川昌治
- Organizer
  International Conference "Singularities and Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23H00081
[Presentation] On the fundamental groups of branched twist spins2023
- Author(s)
  石川昌治
- Organizer
  Breadth in low-dimensional topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Circle actions on the 4-sphere and 3-orbifold groups2023
- Author(s)
  石川昌治
- Organizer
  Singularities and Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03098
[Presentation] Circle actions on low-dimensional spheres2023
- Author(s)
  石川昌治
- Organizer
  半田山・幾何・代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03098
[Presentation] Positive flow-spines and contact 3-manifolds2023
- Author(s)
  石川昌治
- Organizer
  Singularities, arrangements, and low-dimensional topology, III
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Positive flow-spines and contact 3-manifolds2022
- Author(s)
  石川昌治
- Organizer
  JSPS-VAST Bilateral Joint Research Project Workshop "Singularities, arrangements, and low-dimensional topology", III
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] シャドウ補空間の基本群の表示2021
- Author(s)
  石川昌治
- Organizer
  研究集会「結び目の数理 IV 」
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Stable map complexity and hyperbolic volumes of 3-manifolds2021
- Author(s)
  Masaharu Ishikawa
- Organizer
  Boston University / Keio University / Tsinghua University Workshop 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] シャドウ補空間の基本群の表示2021
- Author(s)
  石川昌治
- Organizer
  研究集会「結び目の数理 IV 」
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Stable map complexity and hyperbolic volumes of 3-manifolds2021
- Author(s)
  石川昌治
- Organizer
  Boston University / Keio University / Tsinghua University Workshop 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] フロースパインと接触構造2020
- Author(s)
  石川昌治
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] フロースパインと接触構造2020
- Author(s)
  石川昌治
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] アワビとザイフェルト束の横断性について2020
- Author(s)
  石川昌治
- Organizer
  東北結び目セミナー2020
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] アワビとザイフェルト束の横断性について2020
- Author(s)
  石川昌治
- Organizer
  東北結び目セミナー 2020
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Abalone, Seifert fibration and coil surgery2019
- Author(s)
  石川昌治
- Organizer
  Geometric Topology of low dimensions
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] ３次元多様体の正フロースパインと接触構造2019
- Author(s)
  石川昌治
- Organizer
  談話会（埼玉大学）
- Invited
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Abalone, Seifert fibration and coil surgery2019
- Author(s)
  石川昌治
- Organizer
  Geometric Topology of Low Dimensions
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] アワビとホップ束について2019
- Author(s)
  石川昌治
- Organizer
  第42回箱根セミナ(2019)
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Positive flow-spines and contact 3-manifolds2019
- Author(s)
  石川昌治
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] ３次元多様体の正フロースパインと接触構造2019
- Author(s)
  石川昌治
- Organizer
  大阪大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Shadow presentation of Milnor fibers2019
- Author(s)
  石川昌治
- Organizer
  Workshop on Topology of Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Complexity of contact 3-manifolds2019
- Author(s)
  石川昌治
- Organizer
  Hyperplane arrangements and Japanese-Australian Workshop on Real and Complex Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] Complexity of contact 3-manifolds2019
- Author(s)
  石川昌治
- Organizer
  Hyperplane arrangements and Japanese-Australian Workshop on Real and Complex Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Positive flow-spines and contact 3-manifolds2019
- Author(s)
  石川昌治
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Polyhedral presentation of Milnor fibers2019
- Author(s)
  石川昌治
- Organizer
  Seminar in Institute of Mathematics, VAST
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] ３次元多様体の正フロースパインと接触構造2019
- Author(s)
  石川昌治
- Organizer
  大阪大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Polyhedral presentation of Milnor fibers2019
- Author(s)
  石川昌治
- Organizer
  Seminar in Institute of Mathematics, VAST
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] レンズ空間の正フロースパインと接触構造について2019
- Author(s)
  石川昌治
- Organizer
  北陸結び目セミナー 2019
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] レンズ空間の正フロースパインと接触構造について2019
- Author(s)
  石川昌治
- Organizer
  北陸結び目セミナー 2019
- Data Source
  KAKENHI-PROJECT-19K03499
[Presentation] ３次元多様体の正フロースパインと接触構造2019
- Author(s)
  石川昌治
- Organizer
  談話会（埼玉大学）
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Shadow presentation of Milnor fibers2019
- Author(s)
  石川昌治
- Organizer
  Workshop on Topology of Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] アワビとホップ束について2019
- Author(s)
  石川昌治
- Organizer
  第42回箱根セミナー(2019)
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] ３次元多様体の正フロースパインと接触構造2018
- Author(s)
  石川昌治
- Organizer
  微分幾何・トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Positive flow-spines and contact 3-manifolds2018
- Author(s)
  石川昌治
- Organizer
  火曜トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] 平面曲線特異点のミルナー束の shadowによる表示2018
- Author(s)
  石川昌治
- Organizer
  金沢大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] ３次元多様体の正フロースパインと接触構造2018
- Author(s)
  石川昌治
- Organizer
  微分幾何・トポロジーセミナー，慶應義塾大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] Positive flow-spines and contact 3-manifolds2018
- Author(s)
  石川昌治
- Organizer
  火曜トポロジーセミナー，東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] Singularity at infinity of real polynomial maps of two variables2018
- Author(s)
  石川昌治
- Organizer
  The 13th Kagoshima Algebra-Analysis-Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] オープンブック分解のモノドロミーベクトル場のl-型フロースパインの構成2018
- Author(s)
  石川昌治
- Organizer
  第41回箱根セミナ(2018)
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] オープンブック分解のモノドロミーベクトル場のl-型フロースパインの構成2018
- Author(s)
  石川昌治
- Organizer
  第41回箱根セミナ(2018)
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] Singularity at infinity of real polynomial maps of two variables2018
- Author(s)
  石川昌治
- Organizer
  The 13th Kagoshima Algebra-Analysis-Geometry Seminar, Kagoshima University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] ３次元多様体および３次元接触多様体の複雑度について2018
- Author(s)
  石川昌治
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] 平面曲線特異点のミルナー束の shadowによる表示2018
- Author(s)
  石川昌治
- Organizer
  金沢大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] ３次元多様体および３次元接触多様体の複雑度について2018
- Author(s)
  石川昌治
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] On singularities at infinity of real polynomial maps2017
- Author(s)
  石川昌治
- Organizer
  理科大ワークショップ，東京理科大学神楽坂キャンパス
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H06128
[Presentation] The bifurcation set of a real polynomial function from a viewpoint of toric compactification2016
- Author(s)
  石川昌治
- Organizer
  談話会
- Place of Presentation
  ダラット大学, ベトナム
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] 多項式写像の無限遠の特異点とニュートン図形2016
- Author(s)
  石川昌治
- Organizer
  トポロジー金曜セミナー
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] The bifurcation set of a real polynomial function from a viewpoint of toric compactification2016
- Author(s)
  石川昌治
- Organizer
  談話会
- Place of Presentation
  VIASM, ベトナム
- Invited
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] Stable maps and branched shadows of 3-manifolds2016
- Author(s)
  石川昌治
- Organizer
  III International Conference "Quantum Topology"
- Place of Presentation
  Steklov Mathematical Institute, ロシア
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05140
[Presentation] Stable maps and hyperbolic volumes of 3-manifolds2015
- Author(s)
  石川昌治
- Organizer
  Singularities in Generic Geometry and its Applications --- Kobe-Kyoto 2015 (Valencia IV) ---
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-06-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Stable maps and branched shadows of 3-manifolds2015
- Author(s)
  石川昌治
- Organizer
  The 3rd Franco-Japanese-Vietnamese Symposium on Singularities
- Place of Presentation
  Institute of Mathematics （ベトナム）
- Year and Date
  2015-11-30
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Branched shadow と安定写像2014
- Author(s)
  石川昌治
- Organizer
  Topology mini Workshop
- Place of Presentation
  日本大学文理学部
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Stable maps and branched shadows2014
- Author(s)
  石川昌治
- Organizer
  Mini-Workshop on Topology of Singularities
- Place of Presentation
  東北大学
- Year and Date
  2014-11-07
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Branched shadows and stable maps2014
- Author(s)
  石川昌治
- Organizer
  ワークショップ「超曲面特異点とリンク多様体に関する幾何学」
- Place of Presentation
  東京理科大学
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Milnor fibrations and their deformations in low-dimensional topology2013
- Author(s)
  石川昌治
- Organizer
  The Asian Mathematical Conference
- Place of Presentation
  Bexco, 釜山（韓国）
- Invited
- Data Source
  KAKENHI-PROJECT-25400078
[Presentation] Milnor fibrations and contact structures on the 3-sphere2012
- Author(s)
  Masaharu Ishikawa
- Organizer
  特異点セミナー
- Place of Presentation
  リール大学（リール、フランス）
- Invited
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Tangle sums and factorization of A-polynomials2012
- Author(s)
  Masaharu Ishikawa
- Organizer
  RIMS合宿セミナー「Representation spaces, twisted topological invariants and geometric structures of 3-manifolds」
- Place of Presentation
  強羅
- Invited
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Tangle sums and factorization of A-polynomials2012
- Author(s)
  Masaharu Ishikawa
- Organizer
  第7回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学
- Year and Date
  2012-02-14
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] On the factorization of A-polynomials2012
- Author(s)
  Masaharu Ishikawa
- Organizer
  Topology of Singularities and related topics, III
- Place of Presentation
  ダラット大学(ベトナム)
- Year and Date
  2012-03-27
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Milnor fibrations and cont act structures on S^32011
- Author(s)
  石川昌治
- Organizer
  研究集会「Top ology of Singularities and Related T opics, II」
- Place of Presentation
  東北大学
- Year and Date
  2011-01-08
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] f￥bar g-型特異点のミルナー束と両立する接触構造について2011
- Author(s)
  石川昌治
- Organizer
  接触構造・特異点・微分方程式およびその周辺
- Place of Presentation
  京都市職員厚生会職員会館かもがわ
- Year and Date
  2011-01-24
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] f￥bar g-型特異点のミルナー束と両立する接触構造について2011
- Author(s)
  石川昌治
- Organizer
  研究集会「接触構造・特異点・微分方程式およびその周辺」
- Place of Presentation
  京都市職員厚生会職員会館かもがわ
- Year and Date
  2011-01-24
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Tangle sums and factorization of A-polynomials2011
- Author(s)
  Masaharu Ishikawa
- Organizer
  GCOE Workshop, Circle valued Morse theory and Alexander invariants
- Place of Presentation
  東京大学
- Year and Date
  2011-11-16
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Milnor fibrations and contact structures on S^32011
- Author(s)
  石川昌治
- Organizer
  Topology of Singularities and Related Topics, II
- Place of Presentation
  東北大学
- Year and Date
  2011-01-08
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Finite surgeries on three-tangle pretzel knots2010
- Author(s)
  石川昌治
- Organizer
  Topology of singularities and related topics
- Place of Presentation
  ハノイ、ベトナム
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] On the compatible contact structures of fibered Seifert links in homology 3-spheres2010
- Author(s)
  石川昌治
- Organizer
  Knots, Contact Geometry and Floer Homology
- Place of Presentation
  東京大学
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] On the compatible contact structures of fibered Seifert links in homology 3-spheres2010
- Author(s)
  石川昌治
- Organizer
  研究集会「Kno ts, Contact Geometry and Floer Homol ogy」
- Place of Presentation
  東京大学
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-22740032
[Presentation] Contact structures of Seifert links and their cablings2009
- Author(s)
  石川昌治
- Organizer
  Branched Coverings, Degenedations, and Related Topics
- Place of Presentation
  広島大学
- Year and Date
  2009-03-10
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] Contact structures com- patible with fibered Seifert links2009
- Author(s)
  石川昌治
- Organizer
  研究集会「Symplectic topology, contact topology and applications 2009」
- Place of Presentation
  北海道大学
- Year and Date
  2009-03-23
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] 向きを入れ替えたトーラスリンクの quasipositivity について2009
- Author(s)
  石川昌治
- Organizer
  東北結び目セミナー
- Place of Presentation
  山形
- Year and Date
  2009-10-19
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] 向きを入れ替えたトーラスリンクのquasipositivityについて2009
- Author(s)
  石川昌治
- Organizer
  研究集会「東北結び目セミナー」
- Place of Presentation
  山形
- Year and Date
  2009-10-19
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] Contact structures compatible with fibered Seifert links2009
- Author(s)
  石川昌治
- Organizer
  Symplectic topology, contact topology and applica tions 2009
- Place of Presentation
  北海道大学
- Year and Date
  2009-03-23
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] The standard contact struc- ture and quasipositive surface in S^32009
- Author(s)
  石川昌治
- Organizer
  Mini-Workshop on Differential Geome- try and Topology
- Place of Presentation
  東北大学
- Year and Date
  2009-10-03
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] f\bar g-型の特異点のミルナー束と両立する接触構造について2009
- Author(s)
  石川昌治
- Organizer
  研究集会「トポロジーと写像の特異点」
- Place of Presentation
  信州大学
- Year and Date
  2009-06-04
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] Contact structures of Seifert links and their cablings2009
- Author(s)
  石川昌治
- Organizer
  研究集会「Branched Coverings, Degenera- tions, and Related Topics」
- Place of Presentation
  広島大学
- Year and Date
  2009-03-10
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] $f\bar g$-型の特異点のミルナー束と両立する接触構造について2009
- Author(s)
  石川昌治
- Organizer
  トポロジーと写像の特異点
- Place of Presentation
  松本
- Year and Date
  2009-06-04
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] 実解析的特異点と接触構造について2007
- Author(s)
  石川昌治
- Organizer
  研究集会「接触構造と葉層構造」
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2007-09-05
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] On real analytic germs and contact structures2007
- Author(s)
  石川昌治
- Organizer
  第4回日仏特異点シンポジウム
- Place of Presentation
  富山
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-19740029
[Presentation] ３次元多様体の安定写像と分岐シャドーについて
- Author(s)
  石川昌治
- Organizer
  2014年度日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Invited
- Data Source
  KAKENHI-PROJECT-25400078

1. ENDO Hisaaki (20323777)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. SAEKI OSAMU (30201510)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. OHMOTO Toru (20264400)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. KAMADA Seiichi (60254380)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. MURAKAMI Hitoshi (70192771)

# of Collaborated Projects: 1 results

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9. TERASHIMA Yuji (70361764)

# of Collaborated Projects: 1 results

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10. KITANO Teruaki (90272658)

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11. USHIJIMA Akira (50323803)

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12. YOKURA Shoji (60182680)

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13. SAKUMA Kazuhiro (80270362)

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14. FUKUI Toshizumi (90218892)

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15. ISHIKAWA Goo (50176161)

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16. YAMAMOTO Minoru (40435475)

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17. TAKASE Masamichi (30447718)

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18. ASHIKAGA Tadashi (90125203)

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19. KATANAGA Atsuko (20373128)

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20. YAMAMOTO Takahiro (60435972)

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21. TAKEUCHI Kiyoshi (70281160)

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22. TAKATA Toshie (40253398)

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23. Sakuma Makoto (30178602)

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24. 古宇田悠哉 (20525167)

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25. 土井英雄 (50197993)

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26. 秋吉宏尚 (80397611)

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27. 茂手木公彦 (40219978)

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28. 谷山公規 (10247207)

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29. 大山淑之 (80223981)

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30. 新國亮 (00401878)

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31. 三松佳彦 (70190725)

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32. 吉永正彦 (90467647)

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33. 阿部拓郎 (50435971)

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34. 辻栄周平 (60755099)

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35. 徳永浩雄 (30211395)

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36. 沼田泰英 (00455685)

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37. 東谷章弘 (60723385)

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38. NGUYEN Thang

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39. NGUYEN Tat Thang

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40. 直江央寛

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# of Collaborated Products: 1 results

Ishikawa Masaharu 石川 昌治

ISHIKAWA Masaharu 石川 昌治

Research Projects

Research Products

Co-Researchers

Discrete structures related to hyperplane arrangements, generalization, deepening, and applications

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低次元多様体からの写像の組み合わせ及び幾何学的視点からの大域的研究Principal Investigator

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Study of geometric structures of singularities and manifolds based on polyhedraPrincipal Investigator

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Innovative research of geometric topology and singularities of differentiable mappings

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Innovation of singularity theory of mappings and new development of topology

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Topological study of real singularities and manifolds using fibring structuresPrincipal Investigator

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Geometric structures and combinaorial structures of 3-manifolds

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Deformations of real singularities and decompositions of monodromiesPrincipal Investigator

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多項式写像および混合多項式写像の無限遠の特異点の位相的研究Principal Investigator

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New developments of singularity theory of mappings

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Study on quasipositive surfaces in manifolds with contact structures and applications to complex singularity theoryPrincipal Investigator

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Research on open book decompositions appearing on the boundary of complex domains with contact structuresPrincipal Investigator

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平面曲線から構成される、多様体のオープンブック分解と接触構造に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Ishikawa Masaharu 石川昌治

ISHIKAWA Masaharu 石川昌治