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Research

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Field of Study

○ Mathematics
○ Mathematics
○ Mathematics
○ Mathematics
○ Mathematics
○ Mathematics
○ 数学
○ Mathematics

Subject of Study

○ Discrete p-holomorphic functions and discrete timelike minimal surfcaes
○ Discrete zero mean curvature surfaces in Lorentz-Minkowski 3-space
○ 可積分な曲面の離散化とその構成
○ 可積分変換による離散曲面の構成
○ On timelike constant mean curvature surfaces in 3-dimensional Lorentz-Minkowski space
○ Construcion of discrete zero mean curvature surfaces in Euclidean and Lorentz-Minkowski spaces
○ Discrete Weierstrass-type representations, and beyond
○ 曲面の離散微分幾何の拡がり

Book / Paper

Academic Paper (Judged Full Paper):

1. Mason Pember, Denis Polly and Masashi Yasumoto :
Discrete Weierstrass type representations,
Discrete & Computational Geometry, to appear, 2022.
(DOI: 10.1007/s00454-022-00439-z)
2. Masashi Yasumoto and Rossman Wayne :
Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities,
Osaka Journal of Mathematics, 57, 1, 169-185, 2020.
(Elsevier: Scopus)

Academic Paper (Unrefereed Paper):

1. Masashi Yasumoto :
3次元ミンコフスキー空間内の離散空間的平均曲率一定曲面 (部分多様体の幾何学の深化と展開),
RIMS Kokyuroku, 2152, 1-15, 2020.
(CiNii: 1050285700355907072)

Review, Commentary:

1. Masashi Yasumoto :
A first step to two topics in discretizations of surfaces in Euclidean space,
Anam Lecture Notes in Mathematics, 2, 1-35, Feb. 2020.
(CiNii: 1010853567244932865)

Proceeding of International Conference:

1. Masashi Yasumoto :
Discrete Weierstrass-type representations, and beyond,
The 4th Taiwan-Japan Joint Conference on Differential Geometry, Nov. 2023.
2. Masashi Yasumoto :
Construcion of discrete zero mean curvature surfaces in Euclidean and Lorentz-Minkowski spaces,
minisymposium "Geometric Shape Generation II: Design" at the ICIAM 2023, Tokyo, Aug. 2023.
3. Masashi Yasumoto :
On timelike constant mean curvature surfaces in 3-dimensional Lorentz-Minkowski space,
minisymposium "Differential geometry" at the CGTA2023, Jun. 2023.

Proceeding of Domestic Conference:

1. Masashi Yasumoto :
曲面の離散微分幾何の拡がり,
Mar. 2024.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • 離散時間的平均曲率一定曲面が拓く離散微分幾何の新展開 (Project/Area Number: 25K06978 )
  • Variational problems and geometric analysis for hypersurfaces with singular points, and novel development of discrete surface theory (Project/Area Number: 23K20212 )
  • Holomorphic representations for discrete surfaces, and analysis on their continuous limit (Project/Area Number: 20K14314 )
  • Development of analysis and discretization in differential geometry (Project/Area Number: 20K03585 )
  • Research on trivalent constant mean curvature surfaces from various viewpoints (Project/Area Number: 18H04489 )
  • Search by Researcher Number (70770543)