Personnel Information


Takahashi Masatomo

Affiliation centers1, etc

The Center for Fundamental Education in Science and Engineering

The master's program in charge

Division of Information and Electronic Engineering

The doctoral program in charge

Division of Engineering

The department in charge

Department of Sciences and Informatics

Job title


Research field 【 display / non-display

  • Mathematics

  • Natural Science / Geometry

Keywords for Research Field 【 display / non-display

  • Differential equations

  • Differential geometry

  • Singularity Theory

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

  • Nihon University


Degree 【 display / non-display

  • 博士(理学)


Papers 【 display / non-display

  • Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space

    Shun'ichi Honda, Masatomo Takahahsi, Haiou Yu,Journal of Geometry,vol.114,(p.1 ~ 24),Article Number:12,2023.04

  • Enveloids of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane

    Enze Li, Donghe Pei, Masatomo Takahashi ,Bulletin of the Malaysian Mathematical Sciences Society,vol.45,(p.3011 ~ 3041),2022.11

  • One-parameter families of Legendre curves and plane line congruences

    Yutaro Kabata, Masatomo Takahashi,Mathematische Nachrichten,vol.295,(p.1533 ~ 1561),2022.08

  • Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere

    Masatomo Takahashi, Haiou Yu ,Mathematics,vol.10,Article Number:1292,2022.04

  • Singularities of Translation Surfaces in the Euclidean 3-Space

    Tomonori Fukunaga, Masatomo Takahashi,Results in Mathematics,vol.77,Article Number:89,2022.03

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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

  • On vertices of frontals in the Euclidean plane

    Masatomo Takahashi,WORKSHOP on Algebraic and Analytic Singularities,無し,2023.09.18,Warsaw University of Technology,Poland

  • On generalised framed surfaces in the Euclidean 3-space

    Masatomo Takahashi,Singularities of differentiable maps and its applications,無し,2023.03.06,Japan

  • 枠付き曲面の測地線について


  • 枠付き曲面の測地線について


  • Envelopes of families of framed surfaces and singular solutions of first order partial differential equations

    Masatomo Takahashi,6th International Workshop on Singularities in Generic Geometry and its Applications,Abstracts,(p.9-9),2019.10.21,Valencia University,Spain

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Class subject in charge 【 display / non-display

  • 微分積分B(Fクラス)


  • 情報学ゼミナール


  • 微分積分A(Fクラス)


  • 微分積分A(Dクラス)


  • 基盤情報学演習


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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


International research cooperation activities 【 display / non-display

  • On generalised framed surfaces in the Euclidean 3-space

    中国,吉林経済大学,2022 ~ 2023