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SATOH SHIN  佐藤 進

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SATOH Shin  佐藤 進

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Researcher Number 90345009
Other IDs
Affiliation (Current) 2022: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2016 – 2022: 神戸大学, 理学研究科, 教授
2015 – 2016: 神戸大学, 大学院理学研究科, 教授
2015 – 2016: 神戸大学, 理学(系)研究科(研究院), 教授
2014: 神戸大学, 大学院理学研究科, 准教授
2012 – 2014: 神戸大学, 理学(系)研究科(研究院), 准教授 … More
2010 – 2013: 神戸大学, 大学院・理学研究科, 准教授
2009 – 2011: 神戸大学, 理学研究科, 准教授
2008: Kobe University, 大学院理学研究科, 准教授
2007 – 2008: Kobe University, 大学院・理学研究科, 准教授
2006: 神戸大学, 理学部, 助教授
2005: 千葉大学, 大学院自然科学研究科, 助手
2002 – 2003: 千葉大学, 大学院・自然科学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related
Keywords
Principal Investigator
曲面結び目 / 仮想結び目 / 射影図 / シート数 / カンドル / スパン結び目 / 結び目理論 / ステイト数 / 局所変形 / 曲面タングル … More / 溶接結び目 / 不変量 / ねじれ多項式 / 2次元結び目 / 3重点数 / ブレイド指数 / 2次元結び目 / 曲画結び目 / ツイストスパン / 結び目 / 彩色可能性 / 宮澤多項式 / ねじれ数 / 結び目群 / 彩色数 / コサイクル不変量 / フォックス彩色 / デーン彩色 / 節付き結び目 / 結び目解消操作 / タングル分解 / ガウス図 / ケーブル結び目 / 指数多項式 / 被覆結び目 / パス変形 / 多重化 / 彩色 / トーラス結び目 / 二橋結び目 / パレット数 / リボン結び目 / ダブル / トポロジー / 3重点数 / 交差多項式 / 奇ねじれ数 / クシイ変形 … More
Except Principal Investigator
トポロジー / 結び目理論 / グラフィクス / カンドル / 曲面結び目 / 4次元トポロジー / 位相幾何 / 4次元 / 結び目 / 低次元微分位相幾何学 / 微分位相幾何学 / 低次元多様体 / Ricciフロー / 4次元多様体 / Ricci flow / 可微分構造 / 4次元球面 / 3次元多様体 / 空間グラフ / 数理モデル / 双曲幾何 / 可積分系 / 領域選択ゲーム / レフシェツ・ファイバー束 / モノドロミー / チャート / 4次元トポロジー / バイカンドル / 4次元 / 対称カンドル / 結び目不変量 / 局所変形 / 結び目空間 / 不変量 / はめ込み曲面絡み目 / マーカー付きグラフ図式 / 1ハンドル / エンゲル構造 / 特性葉層 / 横断的接触構造 / 接射影構造 / 剛的曲線 / Engel structure / Characteristic foliation / Transverse contact structure / Tangential projective structure / Rigid curve / 物理 / 化学 / 生物 / ブレイド Less
  • Research Projects

    (15 results)
  • Research Products

    (121 results)
  • Co-Researchers

    (45 People)
  •  曲面結び目のリスト作成と仮想結び目の不変量の研究Principal Investigator

    • Principal Investigator
      佐藤 進
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kobe University
  •  曲面結び目の射影図による構成と不変量による分類の研究Principal Investigator

    • Principal Investigator
      佐藤 進
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kobe University
  •  Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

    • Principal Investigator
      鎌田 聖一
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Osaka University
  •  Diagrammatic research on similarity and difference between 1- and 2-dimensional knotsPrincipal Investigator

    • Principal Investigator
      SATOH SHIN
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

    • Principal Investigator
      KAMADA SEIICHI
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Development of tangle-method in surface-knot theory and its applicationsPrincipal Investigator

    • Principal Investigator
      Satoh Shin
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  Studies of knot theory and their applications

    • Principal Investigator
      KAWAUCHI Akio
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  THE RESEARCH OF THE STRUCTURES AND INVARIANTS OF STABLE EQUIVALENCE CLASSES OF KNOTS IN THICKENED SURFACES

    • Principal Investigator
      KAMADA Naoko
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya City University
  •  1-parameter family of 1-knot and invariant of surface-knotPrincipal Investigator

    • Principal Investigator
      SATOH Shin
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  Studies of Knot Theory

    • Principal Investigator
      KAWAUCHI Akio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Research on 4-dimensional topology from the viewpoint of graphics and quandle theory

    • Principal Investigator
      KAMADA SEIICHI
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
      Hiroshima University
  •  Study on structures of knot space and knot invariants

    • Principal Investigator
      NAKANISHI Yasutaka
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  Diagrammatic surface-knot theoryPrincipal Investigator

    • Principal Investigator
      SATOH Shin
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Kobe University
  •  Applications of the Ricci flow tedimentional differential toppolog

    • Principal Investigator
      KUGA Kenichi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Topological study of Engel structures and its characteristic foliations

    • Principal Investigator
      INABA Takashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] The intersection polynomials of a virtual knot I: Definitions and calculations2021

    • Author(s)
      R. Higa, T. Nakamura, Y. Nakanisi, and S. Satoh
    • Journal Title

      Indiana Univ. Math. J. (to appear)

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Journal Article] Writhe polynomials and shell moves for virtual knots and links2020

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      European J. Combin.

      Volume: 84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] A note on coverings of virtual knots2020

    • Author(s)
      Nakamura Takuji, Nakanishi Yasutaka, Satoh Shin
    • Journal Title

      J. Knot Theory Ramifications

      Volume: Online Ready Pages: 1971002-1971002

    • DOI

      10.1142/s0218216519710020

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-19K03492, KAKENHI-PROJECT-19K03466
  • [Journal Article] Writhe polynomials and shell moves for virtual knots and links2020

    • Author(s)
      Nakamura Takuji, Nakanishi Yasutaka, Satoh Shin
    • Journal Title

      European J. Combin.

      Volume: 84 Pages: 103033-103033

    • DOI

      10.1016/j.ejc.2019.103033

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-19K03492, KAKENHI-PROJECT-19K03466, KAKENHI-PROJECT-19H01788
  • [Journal Article] Crossing changes, delta moves and sharp moves on welded knots2018

    • Author(s)
      S. Satoh
    • Journal Title

      Rocky Mountain J. Math.

      Volume: 48 Pages: 967-979

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] Finiteness of the set of virtual knots with a given state number2018

    • Author(s)
      Nakamura Takuji、Nakanishi Yasutaka、Satoh Shin
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 27 Pages: 1850049-1850049

    • DOI

      10.1142/s0218216518500499

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-26287013
  • [Journal Article] Finiteness of the set of virtual knots with a given state number2018

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] The pass move is an unknotting operation for welded knots2018

    • Author(s)
      Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh b, Akira Yasuhara
    • Journal Title

      Topology and its Applications

      Volume: 247 Pages: 8-19

    • DOI

      10.1016/j.topol.2018.07.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05264, KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-26287013
  • [Journal Article] The pass move is an unknotting operation for welded knots2018

    • Author(s)
      T. Nakamura, Y. Nakanishi, S. Satoh, and A. Yasuhara
    • Journal Title

      Topology Appl.

      Volume: 247 Pages: 9-19

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] Crossing changes, delta moves and sharp moves on welded knots2018

    • Author(s)
      S. Satoh
    • Journal Title

      Rocky Mountain Journal of Mathematics

      Volume: 48 Pages: 967-879

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26287013
  • [Journal Article] The 6- and 8-palette numbers of links2017

    • Author(s)
      T. Nakamura, Y. Nakanishi, M. Saito, and S. Satoh
    • Journal Title

      Topology App.

      Volume: 222 Pages: 200-216

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] The palette numbers of 2-bridge knots2017

    • Author(s)
      T. Nakamura, Y. Nakanishi, M. Saito, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 26

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] The palette numbers of torus knots2017

    • Author(s)
      Hayashi Taiki、Nakamura Takuji、Nakanishi Yasutaka、Satoh Shin
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Pages: 1750060-1750060

    • DOI

      10.1142/s0218216517500602

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-26287013
  • [Journal Article] The palette numbers of 2-bridge knots2017

    • Author(s)
      Nakamura Takuji、Nakanishi Yasutaka、Saito Masahico、Satoh Shin
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 26 Pages: 1750047-1750047

    • DOI

      10.1142/s021821651750047x

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-26287013
  • [Journal Article] The palette numbers of torus knots2017

    • Author(s)
      T. Hayashi, T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 26

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] The 6- and 8-palette numbers of links2017

    • Author(s)
      T. Nakamura, Y. Nakanishi, M. Saito, and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: 222 Pages: 200-216

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287013
  • [Journal Article] 11-colored knot diagram with five colors2016

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramications

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] The length of a 3-cocycle of the 5-dihedral quandle2016

    • Author(s)
      S. Satoh
    • Journal Title

      Algebra. Geom. Topol.

      Volume: 16 Pages: 3325-3359

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] The length of a 3-cocycle of the 5-dihedral quandle2016

    • Author(s)
      S. Satoh
    • Journal Title

      Algebra. Geom. Topol.

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] A note on the OU sequences of a 2-bridge knot2016

    • Author(s)
      Y. Funahashi, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 25

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] Two definitions of the bridge index of a welded knot2016

    • Author(s)
      Y. Nakanishi and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: 196 Pages: 846-851

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] 11-colored knot diagram with five colors2016

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 25

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Journal Article] Delta-crossing number for knots2015

    • Author(s)
      Y. Nakanishi, Y. Nakamoto, and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: 196 Pages: 771-776

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] Two definitions of the bridge index of a welded knot2015

    • Author(s)
      Y. Nakanishi and S. Satoh
    • Journal Title

      to appear in Top. Appl.

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] Delta-crossing number for knots2015

    • Author(s)
      Y. Nakanishi, Y. Sakamoto, and S. Satoh
    • Journal Title

      to appear in Top. Appl.

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] On knots with no 3-state2015

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      to appear in Top. Appl.

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] On knots with no 3-state2015

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: 196 Pages: 754-770

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] On knots with no 3-state2014

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] The writhes of a virtual knot2014

    • Author(s)
      S. Satoh and K. Taniguchi
    • Journal Title

      Fund. Math.

      Volume: 225 Pages: 327-342

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] On effective 9-colorings for knots2014

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] The state numbers of a virtual knot2014

    • Author(s)
      T. Nakamura, Y. Nakanishi, and S. Satoh
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] 7-colored 2-knot diagram with six colors2014

    • Author(s)
      K. Oshiro and S. Satoh
    • Journal Title

      Hiroshima Math. J.

      Volume: 44 Pages: 63-74

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] Two definitions of the bridge index of a welded knot2014

    • Author(s)
      Y. Nakanishi and S. Satoh
    • Journal Title

      Topology Appl.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Journal Article] Crossing information and warping polynomials about the trefoil knot2012

    • Author(s)
      R. Higa, Y. Nakanishi, S. Satoh, and T. Yamamoto
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 21 no. 12 Pages: 1250117-28

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] Notes on sharp moves for knots2012

    • Author(s)
      T. Nakamura, Y. Nakanishi, S. Satoh, and Y. Tomiyama
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 21-8

    • DOI

      10.1142/s021821651250068x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540081
  • [Journal Article] On the crossing numbers of a virtual knot2012

    • Author(s)
      S. Satoh and Y.Tomiyama
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 140 no. 1 Pages: 367-376

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] Twin groups of virtual 2-bridge knots and almost classical knots2012

    • Author(s)
      T. Nakamura, Y. Nakanishi, S. Satoh, and Y. Tomiyama
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 21 no. 10 Pages: 1250095-113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] Twin groups of virtual 2-bridge knots and almost classical knots2012

    • Author(s)
      T. Nakamura, Y. Nakanishi, S. Satoh, Y. Tomiyama
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 21 no. 10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] On the crossing numbers of a virtual knot2012

    • Author(s)
      S.Satoh, Y.Tomiyama
    • Journal Title

      Proc.Amer.Math.Soc.

      Volume: 140 Pages: 367-376

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] On the crossing numbers of a virtual knot2012

    • Author(s)
      S. Satoh and Y. Tomiyama
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: Vol.140 Pages: 367-376

    • DOI

      10.1090/s0002-9939-2011-10917-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244005
  • [Journal Article] Crossing information and warping polynomials about the trefoil knot2012

    • Author(s)
      R. Higa, Y. Nakanishi, S. Satoh, T. Yamamoto
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 21 no. 12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Journal Article] Triviality of a 2-knot with one or two sheets2009

    • Author(s)
      Shin Satoh
    • Journal Title

      Kyushu J. Math 63

      Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Triviality of a 2-knot with one or two sheets2009

    • Author(s)
      S. Satoh
    • Journal Title

      Kyushu J. Math 63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Sheet number and quandle-colored 2-knot2009

    • Author(s)
      Shin Satoh
    • Journal Title

      J. Math. Soc. Japan 2

      Pages: 1-28

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] A note on the shadow cocyle invariant of a knot with a base point2007

    • Author(s)
      Shin Satoh
    • Journal Title

      J. Knot Theory Ramifications Vol. 16 No. 7

      Pages: 959-967

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] A note on the shadow cocycle invariant of a knot with a base point2007

    • Author(s)
      S. Satoh
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Ribbon concordance of surface-knots via quandle cocycle invariants2006

    • Author(s)
      Shin Satoh
    • Journal Title

      J. Aust. Math. Soc. vol. 80, no. 1

      Pages: 131-147

    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers, Proc2006

    • Author(s)
      C. J. Scott, M. Saito, and S. Satoh
    • Journal Title

      Amer. Math. Soc 134

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Ribbon moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers2006

    • Author(s)
      Shin Satoh
    • Journal Title

      Proc. Amer. Math. Soc. vol. 134, no. 9

      Pages: 2779-2783

    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Ribbon concordance of surface-knots via quandle cocycle invariants2006

    • Author(s)
      C. J. Scott, M. Saito, and S. Satoh
    • Journal Title

      J. Aust. Math. Soc 80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] A lower bound for the number of Reidemeister moves of type III2006

    • Author(s)
      Shin Satoh
    • Journal Title

      Topology Appl. vol. 153, no. 15

      Pages: 2788-2794

    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] The braid index is not additive for the connected sum of 2-knots2006

    • Author(s)
      Shin Satoh
    • Journal Title

      Trans. Amer. Math. Soc. vol. 358, no. 12

      Pages: 5425-5439

    • Data Source
      KAKENHI-PROJECT-18740026
  • [Journal Article] Non-additivity for triple point numbers on the connected sum of surface-knots,2005

    • Author(s)
      Satoh, Shin
    • Journal Title

      Proc.Amer.Math.Soc. 133

      Pages: 613-616

    • Data Source
      KAKENHI-PROJECT-17540063
  • [Journal Article] Twin groups of virtual 2-bridge knots and almost classical knots

    • Author(s)
      T.Nakamura, Y.Nakanishi, S.Satoh, Y.Tomiyama
    • Journal Title

      J.Knot Theory Ramifications

      Volume: (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] The intersection polynomial of a virtual knot2021

    • Author(s)
      Shin Satoh
    • Organizer
      The 16th East Asian Conference on Geometric Topology
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] 仮想結び目の交差多項式2021

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-19H01788
  • [Presentation] A note on the Gauss word of an arc on a 2-sphere2021

    • Author(s)
      佐藤進
    • Organizer
      研究集会「拡大KOOKセミナー2021」
    • Data Source
      KAKENHI-PROJECT-19H01788
  • [Presentation] The intersection polynomials of a virtual knot2021

    • Author(s)
      S. Satoh
    • Organizer
      The 16th East Asian Conference on Geometric Topology
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01788
  • [Presentation] 仮想結び目の交差多項式2021

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] A note on the Gauss word of an arc on a 2-sphere2021

    • Author(s)
      佐藤進
    • Organizer
      研究集会「拡大KOOKセミナー2021」
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] The intersection polynomials of a virtual knot2020

    • Author(s)
      佐藤進
    • Organizer
      東京大学トポロジー火曜セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] Writhe polynomials and shell moves for virtual knots and links2019

    • Author(s)
      Shin Satoh
    • Organizer
      Intelligence of Low-dimensional Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01788
  • [Presentation] Welded braids and 2-dimensional braids of ribbon surface-links2019

    • Author(s)
      Shin Satoh
    • Organizer
      Loops in Leeds
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] On the triple point number in surface-knot theory2019

    • Author(s)
      Shin Satoh
    • Organizer
      Unifying 4-Dimensional Knot Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01788
  • [Presentation] Writhe polynomials and shell moves for virtual knots and links2019

    • Author(s)
      Shin Satoh
    • Organizer
      Intelligence of Low-dimensional Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] 正則ローズマン変形で表される局所変形について2019

    • Author(s)
      佐藤進
    • Organizer
      那覇市伝統工芸館会議室
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] On the triple point number in surface-knot theory2019

    • Author(s)
      Shin Satoh
    • Organizer
      Unifying 4-Dimensional Knot Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03466
  • [Presentation] Shell moves for 2-component virtual links2019

    • Author(s)
      佐藤進
    • Organizer
      2019日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] A property of regular 2-knot diagrams2018

    • Author(s)
      佐藤進
    • Organizer
      研究集会「2018年度琉球結び目セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] The n-cable of a ribbon 2-knot2018

    • Author(s)
      S. Satoh
    • Organizer
      Four Dimensional Topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] 2次元結び目の多重化について2018

    • Author(s)
      佐藤進
    • Organizer
      2017年度琉球結び目セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] Double point circles of regular 2-knot diagrams2018

    • Author(s)
      佐藤進
    • Organizer
      研究集会「拡大KOOKセミナー2018」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] 2次元結び目の多重化について2018

    • Author(s)
      佐藤進
    • Organizer
      2017年度琉球結び目セミナー
    • Data Source
      KAKENHI-PROJECT-26287013
  • [Presentation] On the double of a surface-link2017

    • Author(s)
      Shin Satoh
    • Organizer
      The 12th East Asian School of Knots and Related Topics
    • Place of Presentation
      東京大学
    • Year and Date
      2017-02-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] リボン曲面タングルと曲面絡み目のダブル2017

    • Author(s)
      佐藤進
    • Organizer
      2017年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] A set of local moves generating the writhe polynomial2017

    • Author(s)
      佐藤進
    • Organizer
      拡大KOOKセミナー2017
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] リボン曲面タングルと曲面絡み目のダブル2017

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2017年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-26287013
  • [Presentation] Dehn colored knot diagrams2016

    • Author(s)
      佐藤進
    • Organizer
      The 11th East Asian School of Knots and Related Topics
    • Place of Presentation
      大阪市立大学(大阪府・大阪市)
    • Year and Date
      2016-01-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] A construction of stable classes of ribbon surface-knots from non-ribbon surface-knots2016

    • Author(s)
      Shin Satoh
    • Organizer
      KOOK-TAPU Workshop of Knots in Tsushima Island
    • Place of Presentation
      対馬市交流センター
    • Year and Date
      2016-09-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] 単純2次元結び目図式のOUグラフについて2016

    • Author(s)
      佐藤進
    • Organizer
      2016年度琉球結び目セミナー
    • Place of Presentation
      那覇市伝統工芸館
    • Year and Date
      2016-12-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] 曲面結び目のねじれのない射影図2016

    • Author(s)
      佐藤進
    • Organizer
      拡大KOOKセミナー
    • Place of Presentation
      大阪電気通信大学
    • Year and Date
      2016-08-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] 曲面結び目の射影図の正則変形2016

    • Author(s)
      佐藤進
    • Organizer
      2016琉球結び目セミナー
    • Place of Presentation
      ぶんかテンブス館(沖縄県・那覇市)
    • Year and Date
      2016-02-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Fundamental deformations of unwrithed surface-knots2016

    • Author(s)
      佐藤進
    • Organizer
      4次元トポロジー
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2016-11-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] The ribbon stable class of a surface-link2016

    • Author(s)
      Shin Satoh
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2016-12-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05147
  • [Presentation] Noted knots and ribbon Kb-knots2015

    • Author(s)
      佐藤進
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学(大阪府・大阪市)
    • Year and Date
      2015-10-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Weaving a fabric in 4-space2015

    • Author(s)
      佐藤進
    • Organizer
      拡大KOOKセミナー
    • Place of Presentation
      神戸大学百年記念館(兵庫県・神戸市)
    • Year and Date
      2015-08-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 交差交換で溶接結び目をほどく2014

    • Author(s)
      佐藤進
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 結び目のステイト数2014

    • Author(s)
      佐藤進
    • Organizer
      写像の特異点論及び関連する科学の諸問題
    • Place of Presentation
      都城工業高等専門学校
    • Year and Date
      2014-06-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 交差交換で溶接結び目をほどく2014

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-27
    • Data Source
      KAKENHI-PROJECT-26287013
  • [Presentation] 2次元結び目のザイフェルト超曲面2014

    • Author(s)
      佐藤進
    • Organizer
      2014琉球結び目セミナー
    • Place of Presentation
      那覇ぶんかテンブス館
    • Year and Date
      2014-06-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Description of a surface-knot2014

    • Author(s)
      佐藤進
    • Organizer
      トポロジーとコンピュータ2014
    • Place of Presentation
      東京大学
    • Year and Date
      2014-11-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Crossing changes unknot a welded knot2014

    • Author(s)
      Shin Satoh
    • Organizer
      A Satellite Conference of Seoul ICM 2014 No. 25: Knots and Low Dimensional Manifolds
    • Place of Presentation
      BEXC0, Busan, Korea
    • Year and Date
      2014-08-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Local moves on welded knots2014

    • Author(s)
      佐藤進
    • Organizer
      東北結び目セミナー2014
    • Place of Presentation
      カレッジプラザ秋田
    • Year and Date
      2014-10-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 結び目の OU列とその応用2013

    • Author(s)
      佐藤進
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-20
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Virtual graph presentations of ribbon surface-knots2012

    • Author(s)
      S. Satoh
    • Organizer
      The 8th East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST, Daejeon, Korea
    • Year and Date
      2012-01-09
    • Data Source
      KAKENHI-PROJECT-21244005
  • [Presentation] 平面曲線と結び目のステイト数2012

    • Author(s)
      佐藤進
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学
    • Year and Date
      2012-09-20
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] ロールスパン結び目のカンドル不変量2011

    • Author(s)
      佐藤進
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-20
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Quandle cocycle invariants of roll-spun knots2011

    • Author(s)
      S.Satoh
    • Organizer
      Virtual Seminar
    • Place of Presentation
      Iowa University,米国(招待講演)
    • Year and Date
      2011-09-28
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Virtual graph presentations of ribbon surface-knots2011

    • Author(s)
      S.Satoh
    • Organizer
      The 8th East Asian School of Knots and Related Topics
    • Place of Presentation
      KAIST,韓国(招待講演)
    • Year and Date
      2011-01-09
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Quandle cocycle invariants of roll-spun knots2011

    • Author(s)
      Shin Satoh
    • Organizer
      The Seventh East Asian School of Knots and Related Topics
    • Place of Presentation
      広島大学(広島県)(招待講演)
    • Year and Date
      2011-01-11
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Quandle cocycle invariants of roll-spun knots2011

    • Author(s)
      佐藤進
    • Organizer
      Intelligence of Low-dimensional Topology
    • Place of Presentation
      京都大学数理解析研究所(京都府)(招待講演)
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Non-identical twin groups of virtual knot2011

    • Author(s)
      S.Satoh
    • Organizer
      Quantum Topology/Hopf Algebra Seminar
    • Place of Presentation
      Illinois University at Chicago,米国(招待講演)
    • Year and Date
      2011-10-04
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Fox colorings and cocycle invariants of roll-spun knots2010

    • Author(s)
      Shin Satoh
    • Organizer
      Mathematics Colloquium
    • Place of Presentation
      University of South Florida (USA)
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Fox colorings and cocyclee invariants of roll-spun knots2010

    • Author(s)
      Shin Satoh
    • Organizer
      Knots in Chicago
    • Place of Presentation
      University of Illinois at Chicago (USA)
    • Year and Date
      2010-09-10
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] 非自明2次元結び目のシート数は4以上2009

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 非自明2次元結び目のシート数は4以上2009

    • Author(s)
      佐藤進
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 三重点数4の3彩色可能な2次元結び目について2008

    • Author(s)
      佐藤進
    • Organizer
      日本数学会トポロジー分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 5彩色可能な結び目の4色で塗られる射影図2008

    • Author(s)
      佐藤進
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 5彩色可能な結び目の4色で塗られる射影図2008

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 非自明な基本カンドルをもつ2次元結び目のシート数2008

    • Author(s)
      佐藤進
    • Organizer
      日本数学会年会
    • Place of Presentation
      埼玉大学
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] 二次元リボン絡み目の単純射影図について2006

    • Author(s)
      佐藤進
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪市立大学.
    • Data Source
      KAKENHI-PROJECT-18740026
  • [Presentation] The pallet graph of a Fox coloring

    • Author(s)
      S. Satoh
    • Organizer
      Knots in Washington XXXV
    • Place of Presentation
      George Washington University
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] 本質的フォックス彩色について

    • Author(s)
      佐藤進
    • Organizer
      2013琉球結び目セミナー
    • Place of Presentation
      那覇市ぶんかテンブス館
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 効果的9彩色に必要な色の数

    • Author(s)
      佐藤進
    • Organizer
      東北結び目セミナー2013
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] ある行列式の計算とその応用

    • Author(s)
      佐藤進
    • Organizer
      2012琉球結び目セミナー
    • Place of Presentation
      那覇市ぶんかテンブス館
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] On knots with no 3-state

    • Author(s)
      佐藤進
    • Organizer
      Friday Seminar on Knot Theory
    • Place of Presentation
      大阪市立大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 結び目のOU列とその応用

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] The pallet graph of a Fox coloring

    • Author(s)
      佐藤進
    • Organizer
      東北結び目セミナー2012
    • Place of Presentation
      山形大学
    • Data Source
      KAKENHI-PROJECT-22740039
  • [Presentation] Surface-tangle decomposition of ribbon 2-knots and twist-spun knots

    • Author(s)
      Shin Satoh
    • Organizer
      International Conference on Topology and Geometry 2013 - JAMEX VI
    • Place of Presentation
      島根大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] Effective 9-colorings for knots

    • Author(s)
      Shin Satoh
    • Organizer
      Knots in Washington XXXVII
    • Place of Presentation
      George Washington University
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400090
  • [Presentation] 平面曲線と結び目のステイト数

    • Author(s)
      佐藤進
    • Organizer
      日本数学会2012年度秋季総合分科会
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-22740039
  • 1.  KANENOBU Taizo (00152819)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  KAWAUCHI Akio (00112524)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  KAMADA Seiichi (60254380)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  OHTSUKI Tomotada (50223871)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  OOYAMA Toshiyuki (80223981)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  NAKANISHI Yasutaka (70183514)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 3 results
  • 8.  TERAGAITO Masakazu (80236984)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  KUGA Kenichi (30186374)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  TANAKA Tanaka (60396851)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  INABA Takashi (40125901)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  IWAKIRI Masahide (10453127)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  MORIUCHI Hiromasa (20453128)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  TAYAMA Ikuo (00382036)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  TANIYAMA Kouki (10247207)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  MOTEGI Kimihiko (40219978)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  GOUDA Hiroshi (60266913)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  SHIMOKAWA Koya (60312633)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  杉山 健一 (90206441)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  遠藤 久顕 (20323777)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  安井 弘一 (70547009)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  大城 佳奈子 (90609091)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  YAMAMOTO Ryousuke (80445006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  HASHIMOTO Yoshitake (20271182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  MASUDA Mikiya (00143371)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MATSUMOTO Makoto (70231602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  MATUMOTO Takao (50025467)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  MATSUDA Hiroshi (70372703)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SAEKI Osamu (30201510)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  MATSUMOTO Yukio (20011637)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  HIROSE Susumu (10264144)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  SHIMA Akiko (50317765)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  UCHIDA Yoshiaki (80280890)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  KAMADA Naoko (60419687)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  MIYAZAWA Yasuyuki (60263761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  HINO Yoshiyuki (70004405)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  TSUBOI Takashi (40114566)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  TAKAGI Ryoichi (00015562)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  CHON Inde (30587788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  KISHIMOTO Kengo (70587774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  SHIMIZU Ayaka (40638764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  早野 健太 (20722606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  中村 拓司
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 6 results
  • 45.  安原 晃
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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