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

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


Degree 【 display / non-display

  • 博士(理学)


Papers 【 display / non-display

  • Dualities and envelopes of one-parameter families of frontals in hyperbolic and de Sitter 2-space

    L. Chen, D. H. Pei, M. Takahashi,Mathematische Nachrichten,(p.1 ~ 17),2020.03

  • On families of Lagrangian submanifolds

    Shyuichi Izumiya, Masatomo Takahashi ,Journal of Singularities,vol.21,(p.167 ~ 186),2020.03

  • Framed surfaces and one-parameter families of framed curves in Euclidean 3-space

    Tomonori Fukunaga, Masatomo Takahashi,Journal of Singularities,vol.21,(p.30 ~ 49),2020.03

  • Evolutes and focal surfaces of framed immersions in the Euclidean space

    Shun'ichi Honda, Masatomo Takahashi,Proceedings of the Royal Society of Edinburgh Section A: Mathematics,vol.150,(p.497 ~ 516),2020.02

  • Geometric equivalence among smooth map germs

    Shyichi Izumiya, Masatomo Takahashi, Hiroshi Teramoto,Methods and Applications of Analysis,vol.25,(p.337 ~ 362),2019.11

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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 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

  • Singularities of envelopes for first order differential equations of Clairaut type

    Masatomo Takahashi,Singularity Theory and its Applications in Differential Equations and Differential Geometry,なし,2019.09.09,Lomonosov Moscow State University,Russia

  • 1階クレロー型方程式の特異解の特異点について


  • Bertrand and Mannheim curves of framed curves in the Euclidean space

    Masatomo Takahashi,研究集会「特異点論による空間研究」,なし,2019.06.03, JR博多シティ会議室9階会議室(1)

  • アファイン曲線論再考

    高橋雅朋,幾何学と特異点 2019,なし,2019.03.04,東京学芸大学

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Class subject in charge 【 display / non-display

  • 微分積分A(Gクラス)


  • 形の数理


  • 微分積分C(Dクラス)


  • 微分積分C(Gクラス)


  • 微分積分A(Dクラス),微分積分A(特設)


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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