HONDA Atsufumi

Affiliation

Faculty of Engineering, Division of Intelligent Systems Engineering

Job Title

Associate Professor

Research Fields, Keywords

特異点論, 微分幾何学

Related SDGs




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The Best Research Achievement in Research Career 【 display / non-display 】

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The Best Research Achievement in the last 5 years 【 display / non-display 】

  • 【Published Thesis】 Heinz-type mean curvature estimates in Lorentz-Minkowski space(REVISTA MATEMATICA COMPLUTENSE)  2020.10

    【Published Thesis】 Curved foldings with common creases and crease patterns  2020.10

    【Published Thesis】 Null hypersurfaces in Lorentzian manifolds with the null energy condition  2020.09

    【Published Thesis】 Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds  2020.05

    【Published Thesis】 Bernstein-Type Theorem for Zero Mean Curvature Hypersurfaces Without Time-like Points in Lorentz-Minkowski Space  2020.01

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Education 【 display / non-display 】

  • 2010.4
    -
    2013.3

    Tokyo Institute of Technology   Department of Mathematics   Doctor Course   Completed

  • 2008.4
    -
    2010.3

    Kyushu University   Department of Mathematics   Master Course   Completed

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Degree 【 display / non-display 】

  • Doctor of Science - Tokyo Institute of Technology

  • Master of Mathematics - Kyushu University

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Campus Career 【 display / non-display 】

  • 2017.4
    　
    　

    Duty   Yokohama National UniversityFaculty of Engineering   Division of Intelligent Systems Engineering   Associate Professor  

  • 2018.4
    　
    　

    Concurrently   Yokohama National UniversityGraduate school of Engineering Science   Department of Mathematics, Physics, Electrical Engineering and Computer Science   Associate Professor  

  • 2017.4
    　
    　

    Concurrently   Yokohama National UniversityCollege of Engineering Science   Department of Mathematics, Physics, Electrical Engineering and Computer Science   Associate Professor  

  • 2017.4
    　
    　

    Concurrently   Yokohama National UniversityGraduate School of Engineering   Department of Systems Integration   Associate Professor  

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External Career 【 display / non-display 】

  • 2013.4
    -
    2017.3

    National Institute of Technology, Miyakonojo College   General Education Division (Sciences)   Lecturer  

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Research Areas 【 display / non-display 】

  • Natural Science / Geometry

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Books 【 display / non-display 】

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Thesis for a degree 【 display / non-display 】

  • Extrinsically Flat Surfaces

    2013.3

    Doctoral Thesis   Single Work  

  • 3次元双曲空間内の双曲平面と向き付けられた測地線全体の空間

    本田　淳史

    2010.3

    Master Thesis   Single Work  

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    九州大学　大学院数理学府数理学専攻

    空間形の間の等長はめ込みの分類問題を考える．同じ断面曲率を持つもので余次元1の場合は，断面曲率が非負のとき自明なものに限る．一方で，断面曲率が負，つまり双曲空間の場合には非自明な例が存在し，明示的な構成方法や性質は明らかにされていなかった．本論文では，双曲平面から3次元双曲空間への等長はめ込みの明示的な表現公式を導出した．その際に，3次元双曲空間の測地線の空間のミニツイスター空間としての中間符号ケーラー構造を用いた．

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Papers 【 display / non-display 】

  • Symmetries of cross caps

    Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada

    Tohoku Mathematical Journal   75 ( 1 )   131 - 141   2023.3  [Reviewed]

    DOI Web of Science

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    Language：English   Publishing type：Research paper (scientific journal)   Single Work  

  • On the existence of four or more curved foldings with common creases and crease patterns

    Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada

    Beitrage zur Algebra und Geometrie   63   723 - 761   2022.12  [Reviewed]

    DOI

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    Language：English   Publishing type：Research paper (scientific journal)   Single Work  

  • A generalization of Zakalyukin's lemma, and symmetries of surface singularities

    Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada

    Journal of Singularities   25   299 - 324   2022.8  [Reviewed]

    DOI

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    Language：English   Publishing type：Research paper (scientific journal)   Single Work  

    Other Link： http://www.journalofsing.org/volume25/article13.html

  • ド・ジッター空間の空間的平均曲率1曲面の特異点 (部分多様体論と関連する幾何構造研究の深化と融合)

    本田 淳史

    数理解析研究所講究録   2210   10 - 18   2022.1

    CiNii Research

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    Language：Japanese   Publishing type：Research paper (scientific journal)   Publisher：京都大学数理解析研究所   Single Work  

    本稿では，3次元ド・ジッター空間S³₁の空間的平均曲率1曲面に現れる非退化な特異点に対し，それらの分類および非退化特異点の間の双対性を紹介する．本稿の内容は，佐藤媛美氏との共同研究[A. Honda and H. Sato, Singularities of spacelike mean curvature one surfaces in de Sitter space, preprint (arXiv:2103.13849)]に基づく．

  • On the existence of four or more curved foldings with common creases and crease patterns

    Honda A., Naokawa K., Saji K., Umehara M., Yamada K.

    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY   2021.10  [Reviewed]

    DOI Web of Science

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    Language：English   Publishing type：Research paper (scientific journal)   Publisher：Springer   Joint Work  

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Review Papers 【 display / non-display 】

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Presentations 【 display / non-display 】

  • 特異点をもつ閉曲線の絶対全曲率

    本田淳史，田中千紗，山内優太

    日本数学会2024年度年会  2024.3  一般社団法人日本数学会

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：大阪公立大学   Country：Japan  

  • 有限次退化特異点に対する Gauss-Bonnet の定理

    本田淳史  [Invited]

    北海道大学幾何学コロキウム  2024.3  井ノ口順一，古畑仁

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：北海道大学   Country：Japan  

  • 特異点をもつ螺旋曲面に対するBourの定理

    本田淳史  [Invited]

    九州大学幾何学セミナー  2023.12  数川大輔

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    Event date： 2023.12

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：九州大学   Country：Japan  

  • Intrinsic invariants of wave fronts

    Atsufumi Honda  [Invited]

    The 8th China-Japan Geometry Conference  2023.9  Qing-Ming Cheng, Qing Ding, Ryushi Goto, Shouhei Honda, Haizhong Li, Jiayu Li, Ayato Mitsuishi, Hitoshi Moriyoshi, Takashi Shioya, Hiroshi Tamaru, Zizhou Tang, Changping Wang, Wenjiao Yan, Xi Zhang

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    Event date： 2023.9

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Guilin Bravo Hotel, Guilin   Country：China  

  • Fenchel's theorem for wave fronts

    Atsufumi Honda  [Invited]

    Workshop: Differential Geometry with Udo  2023.5  Masaaki Umehara, Kotaro Yamada

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    Event date： 2023.5

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Tokyo Institute of Technology   Country：Japan  

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Charge of on-campus class subject 【 display / non-display 】

  • 2024   Advanced Training in Mathematical Sciences

    Graduate school of Engineering Science

  • 2024   Advanced Exercises in Mathematical Sciences

    Graduate school of Engineering Science

  • 2024   Advanced Seminar in Mathematical Sciences D

    Graduate school of Engineering Science

  • 2024   Advanced Seminar in Mathematical Sciences C

    Graduate school of Engineering Science

  • 2024   Advanced Seminar in Mathematical Sciences B

    Graduate school of Engineering Science

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Charge of off-campus class subject 【 display / non-display 】

  • 基礎数学II

    Institution：都城工業高等専門学校

  • 基礎数学I

    Institution：都城工業高等専門学校

  • 微分積分学II

    Institution：都城工業高等専門学校

  • 微分積分学I

    Institution：都城工業高等専門学校

  • 微分方程式

    Institution：都城工業高等専門学校

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Committee Memberships 【 display / non-display 】

  • 日本数学会‘数学’

    2019.7 - 2021.6  常任編集委員

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    Committee type：Academic society 

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