Morifuji, Takayuki

写真a

Affiliation

Faculty of Economics （Hiyoshi）

Position

Professor

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Career 【 Display / hide 】

  • 1998.04
    -
    2001.03

    JSPS Research Fellowships for Young Scientists, PD

  • 2001.04
    -
    2003.02

    Tokyo University of Agriculture & Technology, Faculty of Engineering, Senior Assistant Professor

  • 2003.03
    -
    2012.03

    Tokyo University of Agriculture & Technology, Faculty of Engineering, Associate Professor

  • 2012.04
    -
    Present

    Keio University, Faculty of Economics, Professor

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Academic Background 【 Display / hide 】

  • 1993.03

    Keio University, Faculty of Science and Technology

    University, Graduated

  • 1995.03

    Tokyo Institute of Technology, Graduate School of Science and Technology

    Graduate School, Completed, Master's course

  • 1998.03

    The University of Tokyo, Graduate School of Mathematical Sciences

    Graduate School, Completed, Doctoral course

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Academic Degrees 【 Display / hide 】

  • 博士（数理科学）, The University of Tokyo, Coursework, 1998.03

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Research Areas 【 Display / hide 】

  • Natural Science / Geometry

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Books 【 Display / hide 】

  • Handbook of Group Actions (Vol. I) ALM 31

    MORIFUJI Takayuki, Higher Education Press and International Press, 2015.03

    Scope: 527-576

  • Twisted Alexander invariants

    Kitano Teruaki, Goda Hiroshi, MORIFUJI Takayuki, The Mathematical Society of Japan, 2006.07

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Papers 【 Display / hide 】

  • ON ADJOINT TORSION POLYNOMIAL OF GENUS ONE TWO-BRIDGE KNOTS

    Morifuji T.

    Kodai Mathematical Journal （Kodai Mathematical Journal)  45 （ 1 ） 110 - 116 2022

    ISSN  03865991

    　View Summary

    Dunfield, Friedl and Jackson make a conjecture that the hyperbolic torsion polynomial determines the genus and fibering of hyperbolic knots. In this paper, we study a similar problem for the adjoint torsion polynomial, and show that it determines the genus and fibering of a large family of hyperbolic genus one two-bridge knots.

  • Hyperbolic torsion polynomials of pretzel knots

    Morifuji T., Tran A.T.

    Advances in Geometry （Advances in Geometry)  21 （ 2 ） 265 - 272 2021

    Research paper (scientific journal), Joint Work, Accepted,  ISSN  1615715X

    　View Summary

    In this paper, we explicitly calculate the highest degree term of the hyperbolic torsion polynomial of an infinite family of pretzel knots. This gives supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot. The verification of the genus part of the conjecture for this family of knots also follows from the work of Agol and Dunfield [1] or Porti [19].

  • Twisted Alexander polynomials of torus links

    Kitano T., Morifuji T., Tran A.T.

    Journal of Knot Theory and its Ramifications （Journal of Knot Theory and its Ramifications)  29 （ 4 ）  2020

    Research paper (scientific journal), Joint Work, Accepted,  ISSN  02182165

  • A calculation of the hyperbolic torsion polynomial of a pretzel knot

    MORIFUJI Takayuki

    Tokyo Journal of Mathematics （Tokyo Journal of Mathematics)  42 （ 1 ） 219 - 224 2019

    Research paper (scientific journal), Single Work, Accepted,  ISSN  03873870

    　View Summary

    © 2019 International Academic Printing Co. Ltd.. All rights reserved. In this short note, we calculate the highest degree term of the hyperbolic torsion polynomial of a pretzel knot with three tangles. It gives a supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot.

  • A vanishing theorem for the eta-invariant and Hurwitz groups

    MORIFUJI Takayuki

    Nagoya Mathematical Journal 228   114 - 123 2017

    Research paper (scientific journal), Single Work, Accepted

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Research Projects of Competitive Funds, etc. 【 Display / hide 】

  • 双曲絡み目のパラボリック表現とねじれアレキサンダー多項式に関する研究

    2021.04
    -
    2025.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Principal investigator

  • 双曲的トーション多項式と絡み目のDFJ予想に関する研究

    2017.04
    -
    2022.03

    Grant-in-Aid for Scientific Research, Research grant, Principal investigator

  • 双曲結び目のDunfield-Friedl-Jackson予想に関する研究

    2014.04
    -
    2018.03

    Grant-in-Aid for Scientific Research, Takayuki Morifuji, Research grant, Principal investigator

  • 結び目群の指標代数多様体を用いたファイバー性と種数の研究

    2011.04
    -
    2015.03

    Grant-in-Aid for Scientific Research, Research grant, Principal investigator

  • A study on the moduli space of representations and the twisted Alexander invariant

    2008.04
    -
    2011.03

    Grant-in-Aid for Scientific Research, Research grant, Principal investigator

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Awards 【 Display / hide 】

  • Takebe Prize

    MORIFUJI Takayuki, 2000.09, The Mathematical Society of Japan, A study of secondary characteristic classes of the mapping class group

    Type of Award： Award from Japanese society, conference, symposium, etc.

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Memberships in Academic Societies 【 Display / hide 】

  • The Mathematical Society of Japan

    　
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