Details of the Researcher

PHOTO

Masaki Ogawa
Section
Mathematical Science Center for Co-creative Society
Job title
Assistant Professor
e-Rad No.
80982818

Research History 2

  • 2023/04 - Present
    東北大学 数理科学共創社会センター 助教

  • 2020/04 - 2023/03
    日本学術振興会特別研究員DC1

Professional Memberships 1

  • 日本数学会

Papers 4

  1. Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces Peer-reviewed

    Masaki Ogawa

    Topology and its Applications　108649-108649　2023/07

    Publisher: Elsevier BV

    DOI： 10.1016/j.topol.2023.108649 　

    ISSN： 0166-8641

  2. Trisections with Kirby-Thompson length 2 Peer-reviewed

    Masaki Ogawa

    Geometriae Dedicata　216　(6)　2022/12

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1007/s10711-022-00728-0 　

    ISSN： 0046-5755

    eISSN： 1572-9168

  3. Handlebody decompositions of three-manifolds and polycontinuous patterns Peer-reviewed

    N. Sakata, R. Mishina, M. Ogawa, K. Ishihara, Y. Koda, M. Ozawa, K. Shimokawa

    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences　478　(2260)　2022/04

    Publisher: The Royal Society

    DOI： 10.1098/rspa.2022.0073 　

    ISSN： 1364-5021

    eISSN： 1471-2946

    More details Close

    We introduce the concept of a handlebody decomposition of a three-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a closed orientable three-manifold are stably equivalent. As an application to materials science, we consider a mathematical model of polycontinuous patterns and discuss a topological study of microphase separation of a block copolymer melt.

  4. Decompositions of the 3-sphere and lens spaces with three handlebodies Peer-reviewed

    Y.Ito, M.Ogawa

    Journal of knot theory and its ramifications　2021/11

Presentations 14

  1. Weinstein trisections of trivial surface bundles

    小川 将輝

    日本数学会年会　2024/03

  2. Shadow complexity and trisection genus

    小川 将輝

    研究集会4次元トポロジー　2023/11

  3. Weinstein trisections of trivial surface bundles

    小川 将輝

    東北結び目セミナー　2023/10

  4. Weinstein trisections of tirvial surface bundles Invited

    小川 将輝

    東北大学幾何セミナー　2023/10

  5. Weinstein trisections of tirvial surface bundles Invited

    小川 将輝

    東北大学談話会　2023/07

  6. Some lower bounds for the Kirby-Thompson invariant

    日本数学会年会　2023/03

  7. On the reducibility of handlebody decompositions Invited

    2022/06

  8. Trisections with Kirby-Thompson length 2 Invited

    Masaki Ogawa

    2022/03

  9. 4-manifolds with distance 2 trisection

    M.Ogawa

    東北結び目セミナー2021　2021/10/16

  10. 3 次元多様体の多重分岐ハンドル体分解の 安定同値性ついて

    日本数学会2021年度秋季総合分科会　2021/09/16

  11. Stably equivalence of multibranched handlebody decomposition Invited

    M.Ogawa

    Friday seminar on knot theory　2021/05/07

  12. Classification of handlebody decompositions of the 3 3 -sphere and lens spaces

    M.Ogawa

    結び目の数理III　2020/12/25

  13. Characterization of 3-manifolds with certain handlebody decomposition

    2019/10/04

  14. Handlebody decomposition of 3-manifold with three handlebody

    M.Ogawa

    拡大KOOKセミナー2019　2019/08/20

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Research Projects 2

  1. ホバノフホモロジー理論の4次元トポロジーへの応用

    小川 将輝

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業

    Category: 若手研究

    Institution: 東北大学

    2026/04/01 - 2030/03/31

  2. Handlebody decomposition of 3-manifolds and its application

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for JSPS Fellows

    Institution: Saitama University

    2020/04/24 - 2023/03/31