KEISUKE TERAMOTO
Last Updated :2023/09/04
- Affiliations, Positions
- Graduate School of Advanced Science and Engineering, Assistant Professor
- E-mail
- kteramoto
hiroshima-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
Academic Degrees
- Kobe University
- Kobe University
Research Fields
- Mathematical and physical sciences;Mathematics;Geometry
Research Keywords
- singular points, differential geometry
Affiliated Academic Societies
- The Mathematical Society of Japan, 2018/04
Educational Activity
Course in Charge
- 2023, Undergraduate Education, 1Term, Exercises in Fundamental Concepts of Mathematics I
- 2023, Undergraduate Education, 3Term, Exercises in Fundamental Concepts of Mathematics II
- 2023, Undergraduate Education, 2Term, Exercises in Analysis I
- 2023, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar
- 2023, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar
Research Activities
Academic Papers
- Singularities of Gauss maps of wave fronts with non-degenerate singular points, Bull. Pol. Acad. Sci. Math., 69(2), 149-169, 2022
- Behavior of principal curvatures of frontals near non-front singular points and their applications, J. Geom., 112(3), 1-25, 2021
- Geometric properties near singular points of surfaces given by certain representation formulae, Publ. Math. Debrecen, 99(3-4), 331-354, 2021
- 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
- On Gaussian curvatures and singularities of Gauss maps of cuspidal edges, Port. Math., 78(2), 169-185, 2021
- 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
- ★, Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds, Adv. Math., 365, 46 pp., 2020
- Surfaces of revolution of frontals in the Euclidean space, Bull. Braz. Math. Soc. (N.S.), 51(4), 887-914, 2020
- ★, Focal surfaces of wave fronts in the Euclidean 3-space, Glasg. Math. J., 61(2), 425-440, 2019
- Characterizing singularities of a surface in Lie sphere geometry, Hokkaido Math. J., 48(2), 281-308, 2019
- ★, Principal curvatures and parallel surfaces of wave fronts, Adv. Geom., 19(4), 541-554, 2019
- Singular surfaces of revolution with prescribed unbounded mean curvature, An. Acad. Brasil. Cienc., 91(4), 10 pp., 2019
- Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space, Sao Paulo J. Math. Sci., 13(2), 663-677, 2019
- Duailty between cuspidal butterflies and cuspidal $S_1^-$ singularities on maximal surfaces, Note Mat., 38(1), 115-130, 2018
- Constant mean curvature surfaces with $D_4$-singularities, Adv. Stud. Pure Math., 78, 345-363, 2018
- Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts, Math. J. Okayama. Univ., 59, 93-111, 2017
- Parallel and dual surfaces of cuspidal edges, Differential Geom. Appl., 44, 52-62, 2016
- 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
- On caustics of pseudo-spherical surfaces, Keisuke Teramoto, On-demand conference Singularity theory and its applications, 2022/03/07, With Invitation, English, Online
- Focal surfaces of fronts with respect to unbounded principal curvatures, Keisuke Teramoto, 2021/06/25, Without Invitation, Japanese, Online
- On geometric properties near singular points of surfaces given by certain representation formulae, Keisuke Teramoto, 2021/02/19, Without Invitation, Japanese, Online
- 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
- 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
- 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
- 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
- On singular surfaces with prescribed unbounded mean curvature, Keisuke Teramoto, 2018/08/29, With Invitation, Japanese, Tohoku University
- Properties of normal maps of cuspidal edges, Keisuke Teramoto, 2018/08/19, With Invitation, Japanese, Shinshu University
- 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
- Focal surfaces of wave fronts, Keisuke Teramoto, Geometric and Algebraic Singularity Theory, 2017/09/11, Without Invitation, English, Bedlewo, Poland
- On focal surfaces of wave fronts, Keisuke Teramoto, 2017/08/30, With Invitation, Japanese, Kanazawa University
- On focal surfaces of cuspidal edges, Keisuke Teramoto, 2017/06/01, Without Invitation, Japanese
- Parallel surfaces of wave fronts, Keisuke Teramoto, Transformation and Singularity, 2016/02/20, With Invitation, English, Tokyo Institute of Technology
- 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
- Behavior of principal curvature of wave fronts, Keisuke Teramoto, Differential Geometry with Dajczer, 2015/10/07, With Invitation, English, Tokyo Institute of Technology
- 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
- On principal curvatures of wave fronts, Keisuke Teramoto, Geometry Symposium, 2015/08/29, With Invitation, Japanese, Science University Tokyo
- Parallel surfaces of cuspidal edges, Keisuke Teramoto, Submanifold Geometry and Lie Theory, 2015/02/12, Without Invitation, English, Osaka City University
- Parallel surfaces of cuspidal edges, Keisuke Teramoto, Singularity Theory for Differentiable Maps and Related Topics, 2014/06/06, Without Invitation, Japanese