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J-GLOBAL ID：201801014629342914   Update date: Jan. 29, 2025

Kai Ishihara

Kai Ishihara
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Affiliation and department：
Hiroshima University Graduate School of Advanced Science and Engineering, Mathematics Program

About Hiroshima University Graduate School of Advanced Science and Engineering, Mathematics Program


Research field  (1)： Geometry
Research keywords  (2)： knot ,  topology
Research theme for competitive and other funds  (8)：
  • 2023 - 2028 結び目の配置と局所変形の研究
  • 2021 - 2026 結び目のトポロジーとその高分子科学への応用の研究
  • 2017 - 2022 Design of static and dynamic networks based on 3-dimensional topology
  • 2017 - 2021 曲面を用いたトポロジーの研究とその応用(17K14190)
  • 2016 - 2021 Research on knot theory and its application
Show all
Papers (30)：
  • Nicholas R Beaton, Kai Ishihara, Mahshid Atapour, Jeremy W Eng, Mariel Vazquez, Koya Shimokawa, Christine E Soteros. A first proof of knot localization for polymers in a nanochannel. Journal of Physics A: Mathematical and Theoretical. 2024
  • Kai Ishihara, Matt Rathbun. Complete classification of generalized crossing changes between GOF-knots. Journal of Topology and Analysis. 2023
  • N. Sakata, R. Mishina, M. Ogawa, K. Ishihara, Y. Koda, M. Ozawa, K. Shimokawa. Handlebody decompositions of three-manifolds and polycontinuous patterns. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022. 478. 2260
  • Kai Ishihara, Koya Shimokawa. Graph Theoretical and Knot Theoretical Analyses of Multi-cyclic Polymers. Topological Polymer Chemistry. 2022. 9-21
  • A New Math Class in Collaboration with Companies, Universities and Schools. 2021. 70. 91-100
ｍore...
Books (2)：
  • Topological polymer chemistry
    Springer Nature Singapore 2022 ISBN:9789811668067
  • Topology of Polymers
    Springer Japan 2019 ISBN:9784431568865
Lectures and oral presentations  (11)：
  • Unknotting of 4-plats
    (2022)
  • Topological characterization of unlinking pathways
    (Geometry and Analyses of Various Natural Phenomena 2021)
  • トンネル数1 のファイバー絡み目の構成法について
    (琉球結び目セミナー 2020)
  • Topological characterization of unlinking pathways
    (Friday Seminar on Knot Theory 2020)
  • First steps of unlinking pathways
    (The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology 2019)
ｍore...
Work history (3)：
  • 2024/04 - 現在 Hiroshima University Graduate School of Advanced Science and Engineering Professor
  • 2019/01 - 2024/03 Yamaguchi University Faculty of Education
  • 2012/04 - 2018/12 Yamaguchi University Faculty of Education
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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