Updated on 2025/01/29

写真a

 
KODAMA Yuya
 
Organization
Research Field in Science, Science and Engineering Area Graduate School of Science and Engineering (Science) Department of Science Mathematics and Informatics Program Assistant Professor
Title
Assistant Professor

Research Interests

  • 幾何学的群論

Research Areas

  • Natural Science / Geometry

Education

  • Tokyo Metropolitan University

    2021.4 - 2024.3

  • Tokyo Metropolitan University

    2019.4 - 2021.3

Research History

  • Kagoshima University   Assistant Professor

    2024.4

 

Papers

  • Yuya KODAMA, Akihiro TAKANO .  Virtual Thompson's group .  Journal of the Mathematical Society of Japan77 ( 1 ) 301 - 323   2025.1Virtual Thompson's groupReviewed

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Mathematical Society of Japan (Project Euclid)  

    DOI： 10.2969/jmsj/91339133

  • Yuya Kodama .  Divergence functions of higher-dimensional Thompson’s groups .  Pacific Journal of Mathematics333 ( 2 ) 309 - 329   2024.12Reviewed

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    Publishing type：Research paper (scientific journal)   Publisher：Mathematical Sciences Publishers  

    DOI： 10.2140/pjm.2024.333.309

  • Yuya Kodama, Akihiro Takano .  The $p$-colorable subgroup of Thompson’s group .  Groups, Geometry, and Dynamics   2024.10The $p$-colorable subgroup of Thompson’s groupReviewed

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    Publishing type：Research paper (scientific journal)  

    DOI： 10.4171/ggd/841

  • Yuya Kodama, Akihiro Takano .  The 3-colorable subgroup of Thompson's group and tricolorability of links .  Journal of Algebra634   336 - 344   2023.11The 3-colorable subgroup of Thompson's group and tricolorability of linksReviewed

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    Publishing type：Research paper (scientific journal)   Publisher：Elsevier BV  

    DOI： 10.1016/j.jalgebra.2023.07.014

  • Yuya Kodama .  An <i>n</i>-adic generalization of the Lodha–Moore group .  Communications in Algebra51 ( 12 ) 4997 - 5018   2023.6Reviewed

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    Publishing type：Research paper (scientific journal)   Publisher：Taylor & Francis  

    DOI： 10.1080/00927872.2023.2223716

  • Yuya Kodama .  Divergence function of the braided Thompson group .  Kyoto Journal of Mathematics63 ( 2 )   2023.5Reviewed

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    Publishing type：Research paper (scientific journal)   Publisher：Duke University Press  

    DOI： 10.1215/21562261-10428532

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MISC

  • Alexander's theorem for stabilizer subgroups of Thompson's group

    Yuya Kodama, Akihiro Takano

    2023.6

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    In 2017, Jones studied the unitary representations of Thompson's group $F$
    and defined a method to construct knots and links from $F$. One of his results
    is that any knot or link can be obtained from an element of this group, which
    is called Alexander's theorem. On the other hand, Thompson's group $F$ has many
    subgroups and it is known that there exist various subgroups which satisfy or
    do not satisfy Alexander's theorem. In this paper, we prove that almost all
    stabilizer subgroups under the natural action on the unit interval satisfy
    Alexander's theorem.

    arXiv

    Other Link： http://arxiv.org/pdf/2306.13398v1

Research Projects

  • 結び目の不変量を用いたThompson群Fの部分群の擬等長類の研究

    Grant number：24K22836  2024.7 - 2026.3

    日本学術振興会  科学研究費助成事業  研究活動スタート支援

    兒玉 悠弥

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    Grant amount：\2860000 （ Direct Cost: \2200000 、 Indirect Cost：\660000 ）