## KEISUKE TERAMOTO

Last Updated :2023/09/04

Affiliations, Positions
E-mail
kteramotohiroshima-u.ac.jp
Self-introduction
My research focuses on singularity theory of smooth mappings. In particular, I am interested in differential geometry of curves and surfaces with singularities.

## Basic Information

### Major Professional Backgrounds

• 2019/04/01, 2021/03/31, Kyushu University, Institute of Mathematics for Industry, Post-doctral Resercher

### Educational Backgrounds

• Okayama University, Faculty of Science, Mathematics, Japan, 2009/04, 2013/03
• Kobe University, Graduate School of Science, Mathematics, Japan, 2013/04, 2015/03
• Kobe University, Graduate School of Science, Mathematics, Japan, 2015/04, 2018/03

• Kobe University
• Kobe University

### Research Fields

• Mathematical and physical sciences;Mathematics;Geometry

### Research Keywords

• singular points, differential geometry

• The Mathematical Society of Japan, 2018/04

## Educational Activity

### Course in Charge

1. 2023, Undergraduate Education, 1Term, Exercises in Fundamental Concepts of Mathematics I
2. 2023, Undergraduate Education, 3Term, Exercises in Fundamental Concepts of Mathematics II
3. 2023, Undergraduate Education, 2Term, Exercises in Analysis I
4. 2023, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar
5. 2023, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar

## Research Activities

1. Singularities of Gauss maps of wave fronts with non-degenerate singular points, Bull. Pol. Acad. Sci. Math., 69(2), 149-169, 2022
2. Behavior of principal curvatures of frontals near non-front singular points and their applications, J. Geom., 112(3), 1-25, 2021
3. Geometric properties near singular points of surfaces given by certain representation formulae, Publ. Math. Debrecen, 99(3-4), 331-354, 2021
4. Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint, Tsukuba J. Math., 45(1), 51-68, 2021
5. On Gaussian curvatures and singularities of Gauss maps of cuspidal edges, Port. Math., 78(2), 169-185, 2021
6. Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the de Sitter space, Meditter. J. Math., 17(2), 20 pp., 2020
7. ★, Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds, Adv. Math., 365, 46 pp., 2020
8. Surfaces of revolution of frontals in the Euclidean space, Bull. Braz. Math. Soc. (N.S.), 51(4), 887-914, 2020
9. ★, Focal surfaces of wave fronts in the Euclidean 3-space, Glasg. Math. J., 61(2), 425-440, 2019
10. Characterizing singularities of a surface in Lie sphere geometry, Hokkaido Math. J., 48(2), 281-308, 2019
11. ★, Principal curvatures and parallel surfaces of wave fronts, Adv. Geom., 19(4), 541-554, 2019
12. Singular surfaces of revolution with prescribed unbounded mean curvature, An. Acad. Brasil. Cienc., 91(4), 10 pp., 2019
13. Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space, Sao Paulo J. Math. Sci., 13(2), 663-677, 2019
14. Duailty between cuspidal butterflies and cuspidal \$S_1^-\$ singularities on maximal surfaces, Note Mat., 38(1), 115-130, 2018
15. Constant mean curvature surfaces with \$D_4\$-singularities, Adv. Stud. Pure Math., 78, 345-363, 2018
16. Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts, Math. J. Okayama. Univ., 59, 93-111, 2017
17. Parallel and dual surfaces of cuspidal edges, Differential Geom. Appl., 44, 52-62, 2016
18. Sparse multivariate regression with missing values and its application to the prediction of material properties, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 123(2), 530-546, 20220130

### Invited Lecture, Oral Presentation, Poster Presentation

1. On caustics of pseudo-spherical surfaces, Keisuke Teramoto, On-demand conference Singularity theory and its applications, 2022/03/07, With Invitation, English, Online
2. Focal surfaces of fronts with respect to unbounded principal curvatures, Keisuke Teramoto, 2021/06/25, Without Invitation, Japanese, Online
3. On geometric properties near singular points of surfaces given by certain representation formulae, Keisuke Teramoto, 2021/02/19, Without Invitation, Japanese, Online
4. Behavior of principal curvatures of frontals near non-front singular point, Keisuke Teramoto, Kentaro Saji, 16th International Workshop on Real and Complex Singularities, 2020/11/27, Without Invitation, English, Online
5. Behavior of Gaussian curvature and singularities of Gauss map of cuspidal edges, Keisuke Teramoto, Brazilian-Japanese singularity days at Unesp/Rio Preto, 2019/09/07, With Invitation, English, IBILCE/UNESP-São José do Rio Preto-SP
6. On signs of Whitney cusps on Gauss maps of cuspidal edges with bounded Gaussian curvature, Keisuke Teramoto, AMS Sectional Meeting, Spring Central and Western Joint Sectional Meeting, 2019/03/23, Without Invitation, English, University of Hawaii, Manoa
7. Surfaces of revolution of frontal curves, Keisuke Teramoto, Masatomo Takahashi, Research on topology and differential geometry using singularity theory of differentiable maps, 2018/12/05, Without Invitation, English, Research Institute for Mathematical Science, Kyoto University
8. On singular surfaces with prescribed unbounded mean curvature, Keisuke Teramoto, 2018/08/29, With Invitation, Japanese, Tohoku University
9. Properties of normal maps of cuspidal edges, Keisuke Teramoto, 2018/08/19, With Invitation, Japanese, Shinshu University
10. On Gauss maps of wave fonts, Keisuke Teramoto, Local and global study of singularity theory of differentiable maps, 2017/12/01, Without Invitation, Japanese, Kyoto University
11. Focal surfaces of wave fronts, Keisuke Teramoto, Geometric and Algebraic Singularity Theory, 2017/09/11, Without Invitation, English, Bedlewo, Poland
12. On focal surfaces of wave fronts, Keisuke Teramoto, 2017/08/30, With Invitation, Japanese, Kanazawa University
13. On focal surfaces of cuspidal edges, Keisuke Teramoto, 2017/06/01, Without Invitation, Japanese
14. Parallel surfaces of wave fronts, Keisuke Teramoto, Transformation and Singularity, 2016/02/20, With Invitation, English, Tokyo Institute of Technology
15. Principal curvatures and generic behavior of wave fronts, Keisuke Teramoto, The 6th Japanese Australian workshop on Real and Complex Singularities, 2015/11/25, With Invitation, English, Kagoshima University
16. Behavior of principal curvature of wave fronts, Keisuke Teramoto, Differential Geometry with Dajczer, 2015/10/07, With Invitation, English, Tokyo Institute of Technology
17. On principal curvatures of wave fronts with non-degenerate singular points, Keisuke Teramoro, Geometric Singularity Theory, 2015/09/09, Without Invitation, English, Banach Center, Warsaw
18. On principal curvatures of wave fronts, Keisuke Teramoto, Geometry Symposium, 2015/08/29, With Invitation, Japanese, Science University Tokyo
19. Parallel surfaces of cuspidal edges, Keisuke Teramoto, Submanifold Geometry and Lie Theory, 2015/02/12, Without Invitation, English, Osaka City University
20. Parallel surfaces of cuspidal edges, Keisuke Teramoto, Singularity Theory for Differentiable Maps and Related Topics, 2014/06/06, Without Invitation, Japanese