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J-GLOBAL ID：202401014036051040   Update date: Oct. 10, 2024

Nakamura Takuji

Nakamura Takuji
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Research field  (1)： Geometry
Research keywords  (4)： 仮想結び目 ,  多項式不変量 ,  結び目の局所変形 ,  正結び目
Research theme for competitive and other funds  (4)：
  • 2020 - 2025 局所変形が与える結び目の幾何・代数の研究
  • 2017 - 2021 局所変形と結び目の幾何・代数の研究
  • 2008 - 2011 結び目の幾何と不変量の実現問題及びその仮想化の研究
  • 2005 - 2008 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
Papers (31)：
  • Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh, Kodai Wada. Virtualized Delta moves for virtual knots and links. to appear in Journal of Topology and Analysis. 2024
  • Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh, Kodai Wada. Virtualized Delta, sharp, and pass moves for oriented virtual knots and links. to appear in Hiroshima Mathematical Journal. 2024
  • Ippei Ishii, Takuji Nakamura, Toshio Saito. A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams. Canada J. Math. 2024. 76. 3. 984-1004
  • Ryuji Higa, Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh. The intersection polynomials of a virtual knot III: characterization. Osaka J. Math. 2024. 61. 2. 229-245
  • Takuji Nakamura. A practice on mathematics education of knot theory for high school students: Understanding knots and p-colorability. 2024. 29. 45-60
ｍore...
Books (3)：
  • 新編 基礎解析
    学術図書出版社 2021
  • 新編 基礎微分積分
    学術図書出版社 2020
  • 新基礎コース 微分積分
    学術図書出版社 2014
Lectures and oral presentations  (65)：
  • 仮想結び目の virtualized sharp 変形について
    (研究会「第4回山梨大学トポロジーセミナー」 2023)
  • On virtualized-type local moves for virtual knots
    (2023)
  • 仮想結び目の交差多項式と 4-move について
    (研究集会「拡大KOOKセミナー2023」 2023)
  • 仮想結び目図式のある局所変形についての考察
    (2022年度山梨大学トポロジーセミナー 2022)
  • 仮想結び目の交差多項式の連結和公式について
    (山梨大学トポロジーセミナー 2022)
ｍore...
Education (4)：
  • - 2003 Kobe University
  • - 2001 Kobe University
  • - 1998 Keio University
  • - 1996 Keio University
Work history (5)：
  • 2020/04 - 現在 University of Yamanashi Professor
  • 2018/04 - 2020/03 Osaka Electro-Communication University Professor
  • 2008/04 - 2018/03 Osaka Electro-Communication University Associate Professor
  • 2005/04 - 2008/03 Osaka Electro-Communication University Senior Assistant Professor
  • 2003/11 - 2005/03 Osaka City University
Association Membership(s) (1)：
日本数学会
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