SATOH SHIN 佐藤進

… Alternative Names

SATOH Shin 佐藤進

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Researcher Number	90345009
Other IDs
Affiliation (Current)	2025: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 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 / Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator 曲面結び目 / 仮想結び目 / 射影図 / 溶接結び目 / 局所変形 / 交差多項式 / 彩色 / ２次元結び目 / ねじれ多項式 / 不変量 … More / 曲面タングル / ステイト数 / 結び目理論 / スパン結び目 / カンドル / シート数 / 捩れ数 / 捩れ多項式 / ストリング絡み目 / タングル / ブレイド / クシイ変形 / 奇ねじれ数 / ブランチ点 / 曲面絡み目 / ３重点数 / トポロジー / ダブル / リボン結び目 / パレット数 / 二橋結び目 / トーラス結び目 / 多重化 / パス変形 / 被覆結び目 / 指数多項式 / ケーブル結び目 / ガウス図 / タングル分解 / 結び目解消操作 / 節付き結び目 / デーン彩色 / フォックス彩色 / コサイクル不変量 / 彩色数 / 結び目群 / ねじれ数 / 宮澤多項式 / 彩色可能性 / 結び目 / ツイストスパン / 曲画結び目 / 2次元結び目 / ブレイド指数 / 3重点数 … More Except Principal Investigator トポロジー / 結び目理論 / ４次元トポロジー / 曲面結び目 / カンドル / グラフィクス / ４次元 / 結び目 / 位相幾何 / ブレイド / 仮想結び目 / 曲面ブレイド / 低次元トポロジー / 生物 / 化学 / 物理 / Rigid curve / Tangential projective structure / Transverse contact structure / Characteristic foliation / Engel structure / 剛的曲線 / 接射影構造 / 横断的接触構造 / 特性葉層 / エンゲル構造 / １ハンドル / マーカー付きグラフ図式 / はめ込み曲面絡み目 / 不変量 / 結び目空間 / 局所変形 / 結び目不変量 / 対称カンドル / 4次元 / バイカンドル / 4次元トポロジー / チャート / モノドロミー / レフシェツ・ファイバー束 / 領域選択ゲーム / 可積分系 / 双曲幾何 / 数理モデル / 空間グラフ / 3次元多様体 / 4次元球面 / 可微分構造 / Ricci flow / 4次元多様体 / Ricciフロー / 低次元多様体 / 微分位相幾何学 / 低次元微分位相幾何学 Less

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
Construction by diagram and classification by invariant of surface-knotPrincipal Investigator
- Principal Investigator
  
  Satoh Shin
- Project Period (FY)
  2019 – 2023
- 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
  
  Kamada Seiichi
- 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

[Journal Article] The intersection polynomials of a virtual knot I: Definitions and calculations2023
- Author(s)
  Higa Rayuji、Nakamura Takuji、Nakanishi Yasutaka、Satoh Shin
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: 72 Issue: 6 Pages: 2369-2401
- DOI
  10.1512/iumj.2023.72.9599
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03621, KAKENHI-PROJECT-22K03287, KAKENHI-PROJECT-19K03466, KAKENHI-PROJECT-19K03492, KAKENHI-PROJECT-19H01788
[Journal Article] The intersection polynomials of a virtual knot II: Connected sums2023
- Author(s)
  Higa Ryuji、Nakamura Takuji、Nakanishi Yasutaka、Satoh Shin
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 32 Issue: 10 Pages: 2350067-2350067
- DOI
  10.1142/s0218216523500670
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03621, KAKENHI-PROJECT-22K03287, KAKENHI-PROJECT-19K03466, KAKENHI-PROJECT-19K03492, KAKENHI-PROJECT-19H01788
[Journal Article] Classification of 2-component virtual links up to $\Xi$-moves2023
- Author(s)
  Jean-Baptiste Meilhan, Shin Satoh, Kodai Wada
- Journal Title
  
  Fundamenta Mathematicae
  
  Volume: 263 Issue: 3 Pages: 203-234
- DOI
  10.4064/fm168-10-2023
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K20327, KAKENHI-PROJECT-22K03287, KAKENHI-PROJECT-19K03466, KAKENHI-PROJECT-19H01788
[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] Writhe polynomials and shell moves for virtual knots and links2020
- Author(s)
  Nakamura Takuji, Nakanishi Yasutaka, Satoh Shin
- Journal Title
  
  European Journal of Combinatorics
  
  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] A note on coverings of virtual knots2019
- Author(s)
  Nakamura Takuji, Nakanishi Yasutaka, Satoh Shin
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Online Ready Issue: 08 Pages: 1971002-1971002
- DOI
  10.1142/s0218216519710020
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05265, KAKENHI-PROJECT-19K03492, KAKENHI-PROJECT-19K03466
[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 Issue: 08 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: 9-19
- 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 Issue: 10 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 Issue: 08 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] Twin groups of virtual 2-bridge knots and almost classical knots2012
- Author(s)
  T. Nakamura, Y. Nakanishi, S. Satoh, and Y. Tomiyama
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 21-8 Issue: 07 Pages: 1250068-1250068
- 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 Issue: 1 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] ガウス語の平面生と２次元結び目2022
- Author(s)
  佐藤進
- Organizer
  ４次元トポロジー
- Data Source
  KAKENHI-PROJECT-19H01788
[Presentation] ２次元結び目の表の作成に向けて2022
- Author(s)
  佐藤進
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-19H01788
[Presentation] ２次元結び目の表の作成に向けて2022
- Author(s)
  佐藤進
- Organizer
  2022日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03287
[Presentation] ガウス語の平面性と２次元結び目2022
- Author(s)
  佐藤進
- Organizer
  研究集会「４次元トポロジー」
- Data Source
  KAKENHI-PROJECT-22K03287
[Presentation] ガウス語の平面性と２次元結び目2022
- Author(s)
  佐藤進
- Organizer
  研究集会「４次元トポロジー」
- Data Source
  KAKENHI-PROJECT-19K03466
[Presentation] ２次元結び目の表の作成に向けて2022
- Author(s)
  佐藤進
- Organizer
  2022日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03466
[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: 1 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

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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

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31. MATSUMOTO Yukio (20011637)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. HIROSE Susumu (10264144)

# of Collaborated Projects: 1 results

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33. SHIMA Akiko (50317765)

# of Collaborated Projects: 1 results

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34. UCHIDA Yoshiaki (80280890)

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35. KAMADA Naoko (60419687)

# of Collaborated Projects: 1 results

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36. MIYAZAWA Yasuyuki (60263761)

# of Collaborated Projects: 1 results

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37. HINO Yoshiyuki (70004405)

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38. TSUBOI Takashi (40114566)

# of Collaborated Projects: 1 results

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39. TAKAGI Ryoichi (00015562)

# of Collaborated Projects: 1 results

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40. CHON Inde (30587788)

# of Collaborated Projects: 1 results

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41. KISHIMOTO Kengo (70587774)

# of Collaborated Projects: 1 results

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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: 7 results
45. 安原晃

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
46. 和田康載

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

SATOH SHIN 佐藤 進

SATOH Shin 佐藤 進

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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

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Construction by diagram and classification by invariant of surface-knotPrincipal Investigator

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Diagrammatic research on similarity and difference between 1- and 2-dimensional knotsPrincipal Investigator

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Development of tangle-method in surface-knot theory and its applicationsPrincipal Investigator

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1-parameter family of 1-knot and invariant of surface-knotPrincipal Investigator

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Diagrammatic surface-knot theoryPrincipal Investigator

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SATOH SHIN 佐藤進

SATOH Shin 佐藤進