HASHIZUME Megumi

写真a

Affiliation

Graduate School of Engineering Science  Department of Mathematical Science and Electrical-Electronic-Computer Engineering  Mathematical Science Course 

Mail Address

E-mail address

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Research Interests 【 display / non-display 】

  • Knot Theory

  • Low-dimensional Topology

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Graduating School 【 display / non-display 】

  • 2008.04
    -
    2012.03

    Nara Women's University   Faculty of Science   Graduated

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Graduate School 【 display / non-display 】

  • 2014.04
    -
    2017.03

    Nara Women's University  Graduate School, Doctral Research Course in Human Culture  Doctor's Degree Program  Completed

  • 2012.04
    -
    2014.03

    Nara Women's University  Graduate School, Doctral Research Course in Human Culture  Master's Degree Program  Completed

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Campus Career 【 display / non-display 】

  • 2020.10
    -
    Now

    Akita University   Graduate School of Engineering Science   Department of Mathematical Science and Electrical-Electronic-Computer Engineering   Mathematical Science Course   Assistant Professor  

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Research Areas 【 display / non-display 】

  • Natural Science / Geometry  / Low dimensional topology, Knot theory

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Research Achievements 【 display / non-display 】

    ◆Original paper【 display / non-display 】

  • Properties of Celtic knot design of p × q square grid and p × q honeycomb grid

    Yukari Funakoshi, Megumi Hashizume

    Electronic Journal of Mathematics and Technology   20 ( 1 )   2026.02  [Refereed]

    Research paper (journal)   Domestic Co-author

    Fisher-Mellor defined knotwork design as a type of alternating link diagram related to Celtic knots ([3]). In this paper, we define Celtic knot design (CKD) induced from p × q square grid and p × q honeycomb grid as a generalized knotwork design. We show the geometric properties of CKDs from these grids and present how these structures can be mathematically described and classified. These concepts and results support mathematics education by deepening understanding of geometric structures and work well with technology-enhanced instructional design ([4]).This multidisciplinary approach, integrating mathematics, art, culture, and technology, offers potential applications in STEAM education.

  • New deformations on spherical curves and \”{O}stlund conjecture

    Megumi Hashizume, Noboru Ito

    Topology and Its Appilications   301   2021.04  [Refereed]

    Research paper (journal)   Domestic Co-author

  • A distance on the equivalence classes of spherical curves generated by deformations of type RI

    Yukari Funakoshi, Megumi Hashizume, Noboru Ito, Tsuyoshi Kobayashi, Hiriko Murai

    Journal of Knot Theory and Its Ramifications   27 ( 12 ) 1 - 12   2018.10  [Refereed]

    Research paper (journal)   Domestic Co-author

  • On the image and cokernel of homomorphism induced by region crossing change

    Megumi Hashizume

    JP Journal of Geometry and Topology   18 ( 2 ) 133 - 162   2015.11  [Refereed]

    Research paper (journal)   Single author

  • On the homomorphism induced by region crossing change

    Megumi Hashizume

    JP Journal of Geometry and Topology   14 ( 1 ) 29 - 37   2013.08  [Refereed]

    Research paper (journal)   Single author

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    ◆University bulletin, Research institution【 display / non-display 】

  • On the Equivalence class of a set of the diagrams obtained from a projection by region crossing changes

    Megumi Hashizume

    Hokkaido University technical report series in mathematics ( Hokkaido University )  160   197 - 200   2014.02

    Research paper (university bulletin, research institution)   Single author

    DOI

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