|
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 |
The Best Research Achievement in Research Career 【 display / non-display 】
-
【Published Thesis】 Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds 2020.05
【Published Thesis】 Isometric immersions with singularities between space forms of the same positive curvature 2017.07
【Published Thesis】 Intrinsic invariants of cross caps 2014.07
The Best Research Achievement in the last 5 years 【 display / non-display 】
-
【Published Thesis】 Geometric inequalities characterizing hypocycloids(Proceedings of the Japan Academy, Series A) 2025.10
【Published Thesis】 Bour's theorem for helicoidal surfaces with singularities(Differential Geometry and its Applications) 2025.06
【Published Thesis】 Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz-Minkowski space(Comptes Rendus Mathematique) 2025.03
【Published Thesis】 Null hypersurfaces as wave fronts in Lorentz-Minkowski space(Journal of the Mathematical Society of Japan) 2025.01
【Published Thesis】 The total absolute curvature of closed curves with singularities(Advances in Geometry) 2025.01
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
Degree 【 display / non-display 】
-
Doctor of Science - Tokyo Institute of Technology
-
Master of Mathematics - Kyushu University
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
External Career 【 display / non-display 】
-
2013.4-2017.3
National Institute of Technology, Miyakonojo College General Education Division (Sciences) Lecturer
Academic Society Affiliations 【 display / non-display 】
-
2020.7
The Japan Society for Industrial and Applied Mathematics
-
2010.5
The Mathematical Society of Japan
Qualification acquired 【 display / non-display 】
-
Junior High School Teacher Specialization License
-
High School Teacher Specialization License
Books 【 display / non-display 】
-
部分多様体論と幾何解析の新展開 : RIMS共同研究(公開型)
本田 淳史, 京都大学数理解析研究所( Role: Sole author)
京都大学数理解析研究所
Language:The in addition, foreign language Book type:Scholarly book
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
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.
Papers 【 display / non-display 】
-
Mannheim-d'Ocagne-Koenderink-type formula for surfaces in Lorentz-Minkowski 3-space
Toshizumi Fukui, Atsufumi Honda, Masaaki Umehara
International Journal of Mathematics for Industry 17 ( 01 ) 2025.12 [Reviewed]
Authorship:Corresponding author Language:English Publishing type:Research paper (scientific journal) Joint Work
-
Geometric inequalities characterizing hypocycloids
Atsufumi Honda, Rina Tajima
Proceedings of the Japan Academy, Series A 101 ( 8 ) 41 - 46 2025.10 [Reviewed]
Authorship:Corresponding author Language:English Publishing type:Research paper (scientific journal) Joint Work
-
Bour's theorem for helicoidal surfaces with singularities
Yuki Hattori, Atsufumi Honda, Tatsuya Morimoto
Differential Geometry and its Applications 99 102248 2025.6 [Reviewed]
Authorship:Corresponding author Language:English Publishing type:Research paper (scientific journal) Publisher:Elsevier Joint Work
Other Link: https://ynu.repo.nii.ac.jp/records/2002051
-
Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz-Minkowski space
Toshizumi Fukui, Atsufumi Honda, Masaaki Umehara
Comptes Rendus Mathematique 363 109 - 113 2025.3 [Reviewed]
Language:English Publishing type:Research paper (scientific journal) Joint Work
Other Link: https://doi.org/10.5802/crmath.704
-
The total absolute curvature of closed curves with singularities
Atsufumi Honda, Chisa Tanaka, Yuta Yamauchi
Advances in Geometry 25 ( 1 ) 93 - 104 2025.1 [Reviewed]
Authorship:Lead author, Corresponding author Language:English Publishing type:Research paper (scientific journal) Joint Work
Other Link: https://www.degruyter.com/document/doi/10.1515/advgeom-2024-0024/html
Review Papers 【 display / non-display 】
-
本田淳史
数学通信 29 ( 2 ) 68 - 70 2024.8
Authorship:Lead author, Last author, Corresponding author Language:Japanese Publishing type:Book review, literature introduction, etc. Publisher:日本数学会 Single Work
Other Link: https://www.mathsoc.jp/publications/tushin/bookreview.html
-
書評 梅原雅顕・佐治健太郎・山田光太郎 (谷島賢二・山田澄生 編): 特異点を持つ曲線と曲面の微分幾何学 (現代数学シリーズ,19)
本田淳史
数学 72 ( 2 ) 213 - 217 2020.4 [Reviewed] [Invited]
Language:Japanese Publishing type:Book review, literature introduction, etc. Publisher:岩波書店 Single Work
Other Link: http://mathsoc.jp/publication/sugaku/
Grant-in-Aid for Scientific Research 【 display / non-display 】
-
特異点の幾何学的不変量と高次元波面・混合型超曲面への応用
Grant number:24K06709 2024.4 - 2028.3
Grant-in-Aid for Scientific Research(C)
Investigator(s):本田 淳史
Authorship:Principal investigator
-
ガウス写像の値分布を起点とする曲面の微分幾何学的研究の展開
Grant number:23K03086 2024.4 - 2027.3
Grant-in-Aid for Scientific Research(C)
Investigator(s):川上 裕
Authorship:Coinvestigator(s) Grant type:Competitive
-
特異点を持つ超曲面に対する変分問題及び幾何解析と離散曲面論の新展開
Grant number:23K20212 2020.4 - 2025.3
Grant-in-Aid for Scientific Research(B)
Investigator(s):小磯 深幸
Authorship:Coinvestigator(s) Grant type:Competitive
-
内在的な幾何構造の特異性とそのローレンツ時空の曲面・超曲面への応用
Grant number:19K14526 2019.4 - 2024.3
Grant-in-Aid for Early-Career Scientists
Investigator(s):本田 淳史
Authorship:Principal investigator Grant type:Competitive
-
特異点を許容する幾何学的構造と実現問題
Grant number:16K17605 2016.4 - 2019.3
Grant-in-Aid for Young Scientists(B)
Investigator(s):本田 淳史
Authorship:Principal investigator Grant type:Competitive
Presentations 【 display / non-display 】
-
Isometric deformations of pillow boxes
Atsufumi Honda [Invited]
Geometry seminar at University of Innsbruck 2026.1 University of Innsbruck
Event date: 2026.1
Language:English Presentation type:Oral presentation (invited, special)
Venue:University of Innsbruck Country:Austria
-
ピローボックスの等長変形
本田淳史,小磯深幸
日本応用数理学会2025年度年会 2025.9 一般社団法人日本応用数理学会
Event date: 2025.9
Language:Japanese Presentation type:Oral presentation (general)
Venue:東京理科大学 Country:Japan
-
Lightlike hypersurfaces as wave fronts in Lorentz-Minkowski space
Atsufumi Honda [Invited]
Mini-Workshop on Surface Theory at Kanazawa 2025.6 Yu Kawakami
Event date: 2025.6
Language:English Presentation type:Oral presentation (invited, special)
Venue:Kanazawa University Country:Japan
-
Lightlike hypersurfaces as wave fronts in Lorentz-Minkowski space
Atsufumi Honda [Invited]
Second IMAG-OCAMI Joint Conference on Differential Geometry 2025.2 Antonio Ros, Magdalena Rodríguez, Yoshihiro Ohnita, Joaquín Perez, Jose M. Espinar
Event date: 2025.2
Language:English Presentation type:Oral presentation (invited, special)
Venue:University of Granada Country:Spain
-
有限退化次数特異点に対する Gauss-Bonnet の定理
本田淳史 [Invited]
慶應義塾大学微分幾何・トポロジーセミナー 2025.1 慶應義塾大学理工学部数理科学科
Event date: 2025.1
Language:Japanese Presentation type:Public lecture, seminar, tutorial, course, or other speech
Venue:慶應義塾大学
Charge of on-campus class subject 【 display / non-display 】
-
2026 Advanced Training in Mathematical Sciences
Graduate school of Engineering Science
-
2026 Advanced Exercises in Mathematical Sciences
Graduate school of Engineering Science
-
2026 Advanced Seminar in Mathematical Sciences D
Graduate school of Engineering Science
-
2026 Advanced Seminar in Mathematical Sciences C
Graduate school of Engineering Science
-
2026 Advanced Seminar in Mathematical Sciences B
Graduate school of Engineering Science
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
Committee Memberships 【 display / non-display 】
-
日本応用数理学会 研究部会 幾何学的形状生成
2025.4 - 2026.3 幹事
Committee type:Academic society
-
日本数学会‘数学’
2019.7 - 2021.6 常任編集委員
Committee type:Academic society
-
一般社団法人 日本数学会
2018.3 - 2019.2 地方区代議員
Committee type:Academic society
Social Contribution(Extension lecture) 【 display / non-display 】
-
令和3年度神奈川県立光陵高等学校生に対する模擬授業
Role(s): Lecturer
2021.12
-
横浜国立大学第54回サイエンスカフェ
Role(s): Lecturer
2017.7