Personnel Information


Takahashi Masatomo

Affiliation centers1, etc

Center for General Education

The master's program in charge

Division of Information and Electronic Engineering

The doctoral program in charge

Division of Engineering

Job title

Associate Professor

Research field 【 display / non-display

  • Mathematics

  • Geometry

Keywords for Research Field 【 display / non-display

  • Differential equations

  • Differential geometry

  • Singularity Theory

Graduate school・major, etc. 【 display / non-display

  • Nihon University



Papers 【 display / non-display

  • Framed Surfaces in the Euclidean Space

    Tomonori Fukunaga, Masatomo Takahashi,Bulletin of the Brazilian Mathematical Society, New Series,2018.05

  • Envelopes of Legendre curves in the unit spherical bundle over the unit sphere

    Y. Li, D. Pei, M. Takahashi, H. Yu,The Quarterly Journal of Mathematics,vol.69,(p.631 ~ 653),2017.12

  • Envelopes of Legendre curves in the unit tangent bundle over the Euclidean plane

    Masatomo Takahashi,Results in Mathematics,vol.71,(p.1473 ~ 1489),2017.05

  • Existence conditions of framed curves for smooth curves

    Tomonori Fukunaga, Masatomo Takahashi,Journal of Geometry,vol.108,(p.763 ~ 774),2017

  • Singularities of tangent surfaces in Cartan's split G2-geometry

    G. Ishikawa・Y. Machida・M. Takahashi,Asian Journal of Mathematics,vol.20,(p.353 ~ 382),2016.04

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Research reports 【 display / non-display

  • Evolutes and involutes of fronts in the Euclidean plane

    高橋雅朋,数理解析研究所講究録,vol.1868,(p.83 ~ 100),2013

  • Caustics and wave front propagations

    高橋雅朋,数理解析研究所講究録,vol.1707,(p.135 ~ 148),2010

  • Differential geometry and singularity theory

    高橋雅朋,数理解析研究所講究録,vol.1623,(p.35 ~ 53),2009

Presentaion at conference, meeting, etc. 【 display / non-display

  • Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space

    Masatomo Takahashi,15th International Workshop on Real and Complex Singularities,なし,2018.07.22,ICMC-USP,Brazil

  • ルジャンドル写像族に対する包絡面とその応用


  • 特異点論とキカノミの秘密


  • ラグランジュ部分多様体とグラフ型ルジャンドル部分多様体


  • Framed surfaces: smooth surfaces with singular points

    Masatomo Takahashi,Singularities and Differential Geometry in Changchun 2017,なし,2017.03.25,Northeast Normal University,China

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Class subject in charge 【 display / non-display

  • 解析A


  • 解析A


  • 解析C


  • 解析C


  • 解析A


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Education book 【 display / non-display

  • 微分積分増補版

    2018.03,髙坂良史、加藤正和、黒木場正城, (p.279),学術図書出版社

  • 微分積分

    2015.10,髙坂良史、加藤正和、黒木場正城, (p.257),学術図書

  • 微分積分

    2015.03,髙坂良史、加藤正和、黒木場正城, (p.254),学術図書

  • 微分積分

    2014.03,髙坂良史、加藤正和、黒木場正城, (p.253),学術図書

  • 微分積分

    2013.03,髙坂良史、加藤正和、黒木場正城, (p.249),学術図書