NAKAMURA Takuji 中村拓司

Researcher Number	60382024
Other IDs
Affiliation (Current)	2025: 山梨大学, 大学院総合研究部, 教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 山梨大学, 大学院総合研究部, 教授 2018 – 2019: 大阪電気通信大学, 工学部, 教授 2017: 大阪電気通信大学, 工学部, 准教授 2008 – 2010: Osaka Electro-Communication University, 工学部, 准教授 2005 – 2007: 大阪電気通信大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator 結び目 / 局所変形 / 仮想結び目 / Alexander多項式 / 3次元多様体 / ねじれ多項式 / Jones多項式 / トポロジー / ファイバー結び目 / パス変形 … More / 多項式不変量 / 仮想化 / 交差交換 / 連結和 / 宮澤多項式 / サポート種数 / 4-変形 / 交差多項式 / 仮想化パス変形 / 仮想化シャープ変形 / 仮想化デルタ変形 / 仮想絡み目 / 結び目理論 / フロースパイン / シェル変形 / Conway多項式 / 溶接結び目 / 周期的結び目 / 合成結び目 / シャープ型結び目解消数 / シャープ変形 / Miyazawa多項式 / C_n変形 / 種数 / 組み紐型曲面 / 標準的曲面 / デルタ変形 / 正結び目 Less

局所変形が与える結び目の幾何・代数の研究Principal Investigator
- Principal Investigator
  
  中村拓司
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Yamanashi
Studies on geometry and algebra of knots and local movesPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Takuji
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Yamanashi
  Osaka Electro-Communication University
Studies on geometric properties and realization problems of invariants for classical knots and virtual knotsPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Takuji
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka Electro-Communication University
ダイアグラムの性質が与える結び目の幾何と代数的不変量の研究Principal Investigator
- Principal Investigator
  
  中村拓司
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Osaka Electro-Communication University

All 2023 2022 2021 2020 2019 2018 2017 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

[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] 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] 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] 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] 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] 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 6- and 8-palette numbers of links2017
- Author(s)
  Nakamura Takuji、Nakanishi Yasutaka、Saito Masahico、Satoh Shin
- Journal Title
  
  Topology and its Applications
  
  Volume: 222 Pages: 200-216
- DOI
  10.1016/j.topol.2017.02.080
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05265
[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] Braidzel surfaces for fibered knots with given Alexander polynomials2009
- Author(s)
  中村拓司
- Journal Title
  
  Kobe J.Math. 26巻
  
  Pages: 17-28
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740047
[Journal Article] Braidzel surfaces for fibered knots with given Alexander polynomials2009
- Author(s)
  NAKAMURA Takuj
- Journal Title
  
  Kobe Joumal of Mathematics (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740047
[Journal Article] Braidzel surfaces for fibered knots with given Alexander polynomials2009
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Kobe Journal of Mathematics 26
  
  Pages: 17-28
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740047
[Journal Article] On the minimal genus for knots via braidzel surfaces2008
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Journal of Knot theory and its Ramifications 17
  
  Pages: 25-29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740041
[Journal Article] Notes on braidzel surfaces for links2007
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Proceedings of American Mathematical Society 135
  
  Pages: 559-567
- Data Source
  KAKENHI-PROJECT-17740041
[Journal Article] On the crossing number of 2-bridge knot and the canonical genus of its Whitehead double2006
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Osaka Journal of Mathematics 43
  
  Pages: 609-623
- NAID
  120004843429
- Data Source
  KAKENHI-PROJECT-17740041
[Journal Article] Notes on braidzel surfaces for links
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Proceedings of American Mathematical Society (掲載受理)
- Data Source
  KAKENHI-PROJECT-17740041
[Journal Article] On the minimal genus for knots via braidzel surfaces
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Journal of Knot theory and its Ramifications (掲載受理)
- Data Source
  KAKENHI-PROJECT-17740041
[Journal Article] Braidzel surfaces for fibered knots with given Alexander polyno mials
- Author(s)
  NAKAMURA Takuji
- Journal Title
  
  Kobe Journal of Mathematics (掲載受理)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740041
[Presentation] 仮想結び目に対する仮想化型の局所変形について2023
- Author(s)
  中村拓司，中西康剛，佐藤進，和田康載
- Organizer
  農工大トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] 仮想結び目の交差多項式と 4-move について2023
- Author(s)
  中村拓司
- Organizer
  研究集会「拡大KOOKセミナー2023」
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] 仮想結び目図式のある局所変形についての考察2022
- Author(s)
  中村拓司・石井一平・斎藤敏夫
- Organizer
  ２０２２年度山梨大学トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] 仮想結び目の交差多項式の連結和公式について2022
- Author(s)
  中村拓司・比嘉隆二・中西康剛・佐藤進
- Organizer
  山梨大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] A note on the intersection polynomials of virtual knots2021
- Author(s)
  中村拓司・比嘉隆二・中西康剛・佐藤進
- Organizer
  山梨大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] 仮想結び目図式のある局所変形について2020
- Author(s)
  中村拓司
- Organizer
  2019年度琉球結び目セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 仮想結び目の交差多項式について2020
- Author(s)
  中村拓司・比嘉隆二・中西康剛・佐藤進
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03621
[Presentation] Flow spines and virtual knot diagrams2019
- Author(s)
  中村拓司
- Organizer
  Knots in Tsushima 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 3次元多様体の仮想結び目図式による表示に対する彩色不変量2019
- Author(s)
  中村拓司
- Organizer
  拡大KOOKセミナー2019
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 仮想結び目の奇交点対から得られる不変量について2019
- Author(s)
  中村拓司
- Organizer
  慶應トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] On local moves among the trefoil, the figure-8, and the unknot2018
- Author(s)
  中村拓司
- Organizer
  2018年度琉球結び目セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 結び目およびその一般化に対する局所変形について2018
- Author(s)
  中村拓司
- Organizer
  大阪市立大学数学研究所談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] On welded knots which can be unknotted by a single pass move2018
- Author(s)
  中村拓司
- Organizer
  拡大KOOKセミナー2018
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 局所変形と互いに距離１の3つの結び目2018
- Author(s)
  中村拓司
- Organizer
  大阪電気通信大学トポロジーセミナー；低次元多様体の幾何的性質と不変量の研究
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] Pass moves for welded knots2017
- Author(s)
  中村拓司，中西康剛，佐藤進，安原晃
- Organizer
  拡大KOOKセミナー2017
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 仮想結び目のある半順序について2017
- Author(s)
  中村拓司，中西康剛，佐藤進
- Organizer
  日本数学会秋季総合分科会トポロジー分科会
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 結び目の局所変形と多項式不変量について2017
- Author(s)
  中村拓司
- Organizer
  群馬大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 溶接結び目をほどく2017
- Author(s)
  中村拓司
- Organizer
  2017年度琉球結び目セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 溶接結び目に対するパス変形について2017
- Author(s)
  中村拓司，中西康剛，佐藤進，安原晃
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05265
[Presentation] 結び目のシャープ変形について2011
- Author(s)
  中村拓司
- Organizer
  日本数学会年会
- Place of Presentation
  早稲田大学(中止により予稿集刊行にて発表扱い)
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] 結び目のシャープ変形について2011
- Author(s)
  中村拓司
- Organizer
  日本数学会年会(中止により予稿集刊行にて発表扱い)
- Place of Presentation
  早稲田大学
- Year and Date
  2011-03-20
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on sharp moves for knots2011
- Author(s)
  中村拓司
- Organizer
  国際研究集会「The 7th East Asian School of Knots and Related Topics」
- Place of Presentation
  広島大学
- Year and Date
  2011-01-10
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on sharp moves for knots2011
- Author(s)
  中村拓司
- Organizer
  国際研究集会「The 7th East Asian School of Knots and Related Topics
- Place of Presentation
  広島大学
- Year and Date
  2011-01-10
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on sharp moves for knots2010
- Author(s)
  中村拓司
- Organizer
  研究集会「E-KOOKセミナー2010」
- Place of Presentation
  大阪市立大学
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on virtual knots with trivial polynomial invariants2010
- Author(s)
  中村拓司
- Organizer
  国際研究集会「The Sixth East Asian School of Knots and Related Topics」
- Place of Presentation
  Chern Institute of Mathematics, Nankai University
- Year and Date
  2010-01-25
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] 自明な多項式不変量を持つ仮想結び目について2010
- Author(s)
  中村拓司
- Organizer
  日本数学会年会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on virtual knots and their polynomial invariants2010
- Author(s)
  中村拓司
- Organizer
  研究会「結び目と3次元多様体」
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-18
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] C_n-moves and periodic knots2009
- Author(s)
  中村拓司
- Organizer
  国際研究集会「Knots in Washington XXVII」
- Place of Presentation
  George Washington university
- Year and Date
  2009-01-11
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] C_n-moves and periodic knots2009
- Author(s)
  中村拓司
- Organizer
  国際研究集会「The Fifth East Asian School of Knots and Related Topics」
- Place of Presentation
  慶州文化会館(韓国)
- Year and Date
  2009-01-14
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Notes on virtual knots whose polynomial invariant is trivial2009
- Author(s)
  中村拓司
- Organizer
  研究集会「Intelligence of Low Dimensional Topology」
- Place of Presentation
  大阪市立大学
- Year and Date
  2009-11-14
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] C_n-moves and periodic knots2009
- Author(s)
  中村拓司
- Organizer
  日本数学会年会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] C_n-moves and periodic knots2008
- Author(s)
  中村拓司
- Organizer
  研究集会「北陸結び目セミナー」
- Place of Presentation
  金沢大学サテライトキャンハス
- Year and Date
  2008-11-14
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] Delta unknotting numbers for positive knots2008
- Author(s)
  中村拓司
- Organizer
  国際研究集会「The Fourth East Asian School of Knots and Related Topics」
- Place of Presentation
  The University of Tokyo
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-17740041
[Presentation] C_n-moves and periodic knots2008
- Author(s)
  中村拓司
- Organizer
  研究集会「北陸結び目セミナー」
- Place of Presentation
  金沢大学サテライトキャンパス
- Year and Date
  2008-11-14
- Data Source
  KAKENHI-PROJECT-20740047
[Presentation] A note on Delta unknotting numbers for positive knots2007
- Author(s)
  中村拓司
- Organizer
  研究集会「結び目のトポロジーX」
- Place of Presentation
  東京女子大学
- Year and Date
  2007-12-24
- Data Source
  KAKENHI-PROJECT-17740041
[Presentation] Pass-move and Conway polynomial2007
- Author(s)
  中村拓司
- Organizer
  国際研究集会「Knotting Mathematics and Art」
- Place of Presentation
  University of South Florida, Tampa, Florida, USA
- Year and Date
  2007-11-03
- Data Source
  KAKENHI-PROJECT-17740041

1. 安原晃

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

NAKAMURA Takuji 中村 拓司

Research Projects

Research Products

Co-Researchers

局所変形が与える結び目の幾何・代数の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies on geometry and algebra of knots and local movesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on geometric properties and realization problems of invariants for classical knots and virtual knotsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ダイアグラムの性質が与える結び目の幾何と代数的不変量の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] The intersection polynomials of a virtual knot II: Connected sums2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The intersection polynomials of a virtual knot I: Definitions and calculations2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Writhe polynomials and shell moves for virtual knots and links2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on coverings of virtual knots2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The pass move is an unknotting operation for welded knots2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finiteness of the set of virtual knots with a given state number2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The palette numbers of 2-bridge knots2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The 6- and 8-palette numbers of links2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The palette numbers of torus knots2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Braidzel surfaces for fibered knots with given Alexander polynomials2009

Author(s)

Journal Title

Data Source

[Journal Article] Braidzel surfaces for fibered knots with given Alexander polynomials2009

Author(s)

Journal Title

NAKAMURA Takuji 中村拓司