Updated on 2024/03/01

写真a

 
FUKUNAGA Tomonori
 
Organization
Faculty of Engineering Department of Life, Environment and Applied Chemistry Associate Professor
Graduate School Graduate School of Engineering Master's program Life, Environment and Applied Chemistry Associate Professor
Title
Associate Professor
Contact information
メールアドレス
External link

Degree

  • 博士(理学) ( 2011.3   北海道大学 )

  • 修士(理学) ( 2008.3   北海道大学 )

  • 学士(理学) ( 2006.3   東京理科大学 )

Research Interests

  • 枠付き曲面

  • 曲率

  • 特異点

  • ナノワード

  • 結び目

  • 枠付き曲線

Research Areas

  • Natural Science / Geometry

Education

  • Hokkaido University

    2008.4 - 2011.03

  • Hokkaido University

    2006.4 - 2008.03

  • Tokyo University of Science

    2002.4 - 2006.03

Professional Memberships

  • 日本数学会

Papers

  • New invariants of nanophrases and homotopy classification of generalized phrases Reviewed

    Tomonori Fukunaga

    Hokkaido Mathematical Journal   to appear(出版年未確定)   2024

  • On the swap move of letters in words and the forbidden moves in virtual diagrams Reviewed

    Tomonori Fukunaga

    Journal of Knot Theory and Its Ramifications   32 ( 9 )   13pages   2023.8

  • An interpretation of multi-component curves and links in terms of single component words Reviewed

    Tomonori Fukunaga

    Nihonkai Mathematical Journal   33 ( 1 )   25 - 38   2022.6

  • Singularities of translation surfaces in the Euclidean 3-space Reviewed

    Tomonori Fukunaga, Masatomo Takahashi

    Results in Mathematics   77 ( 2 )   28 pages   2022.4

  • Framed surfaces and one-parameter families of framed curves in the Euclidean 3-space Reviewed

    T. Fukunaga, M.Takahashi

    Journal of Singularities   21   30 - 49   2020

  • Framed surfaces in the Euclidean space Reviewed

    T. Fukunaga, M.Takahashi

    Bulletin of the Brazilian Mathematical Society   50 ( 1 )   37 - 65   2019.3

  • Existence conditions of framed curves for smooth curves Reviewed

    T. Fukunaga, M.Takahashi

    Journal of Geometry   108 ( 2 )   763 - 774   2017.7

  • Involutes of fronts in the Euclidean plane Reviewed

    T. Fukunaga, M.Takahashi

    Beiträge zur Algebra und Geometrie   57 ( 3 )   657 - 673   2016.9

  • On convexity of simple closed frontals Reviewed

    T. Fukunaga, M.Takahashi

    Kodai Mathematical Journal   39 ( 2 )   389 - 398   2016.6

  • Evolutes and involutes of frontals in the Euclidean plane Reviewed

    T. Fukunaga, M.Takahashi

    Demonstratio Mathematica   48 ( 2 )   147 - 166   2015.6

  • Evolutes of fronts in the Euclidean plane Reviewed

    T. Fukunaga, M.Takahashi

    Journal of Singularities   10   92 - 107   2014

  • Simplified numerical form of universal finite type invariant of Gauss words Reviewed

    T.Fukunaga, T.Yamaguchi, T.Yamanoi

    Journal of Knot Theory and Its Ramifications   22 ( 8 )   14pages   2013.7

  • Existence and uniqueness for Legendre curves Reviewed

    T. Fukunaga, M.Takahashi

    Journal of Geometry   104 ( 2 )   297 - 307   2013.6

  • The warping degree of a nanoword Reviewed

    T.Fukunaga

    Discrete Mathematics   313 ( 5 )   599 - 604   2013.3

  • Classification of curves on surfaces and free links via homotopy theory of words and phrases Reviewed

    T.Fukunaga

    Journal of Singularities   6   37 - 53   2012

  • Homotopy classification of nanophrases with at most four letters, Reviewed

    T.Fukunaga

    Fundamenta Mathematicae   214 ( 2 )   101 - 118   2011

  • On homotopy classificatiton of phrases and its application Reviewed

    T.Fukunaga

    Demonstratio Mathematica   43 ( 9 )   419 - 432   2010.4

  • Homotopy classification of nanophrases in Turaev's theory of words Reviewed

    T.Fukunaga

    Journal of Knot Theory and Its Ramifications   18 ( 7 )   901 - 915   2009.7

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Research Projects

  • 特異点を持つ曲線と曲面の研究

    2015 - 2017

    科研費  若手研究(B)

      More details

    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\2860000

  • 語のトポロジーとその幾何学への応用

    2009 - 2010

    科研費  特別研究員奨励費

      More details

    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\1400000

Other

  • (財)科学技術振興会 小玉記念科学賞受賞

    2005

Teaching Experience (On-campus)

  • 2022   Applied Mathematics

  • 2022   Analysis I

  • 2022   Analysis II

  • 2022   Basic Mathematics

  • 2022   Seminar Ⅰ for life environment and

  • 2022   Seminar Ⅱ for life environment and

  • 2022   Graduation Study

  • 2022   Mathematics for information Science I

  • 2021   Analysis II

  • 2021   Basic Mathematics

  • 2021   Analysis I

  • 2021   Applied Mathematics

  • 2021   Seminar Ⅱ for life environment and

  • 2021   Seminar Ⅰ for life environment and

  • 2021   Graduation Study

  • 2021   Mathematics for information Science I

  • 2020   Basic Mathematics

  • 2020   Analysis II

  • 2020   Analysis I

  • 2020   Applied Mathematics

  • 2020   Seminar Ⅱ for life environment and

  • 2020   Seminar Ⅰ for life environment and

  • 2020   Graduation Study

  • 2020   Mathematics for information Science I

  • 2019   Analysis II

  • 2019   Numerical Analysis

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