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Teramoto Keisuke  寺本 圭佑

ORCIDConnect your ORCID iD *help
Researcher Number 10830002
Other IDs
Affiliation (Current) 2025: 山口大学, 大学院創成科学研究科 , 講師
Affiliation (based on the past Project Information) *help 2023 – 2024: 山口大学, 大学院創成科学研究科, 講師
2021 – 2022: 広島大学, 先進理工系科学研究科(理), 助教
2019 – 2020: 九州大学, マス・フォア・インダストリ研究所, 学術研究員
2018: 神戸大学, 理学研究科, 特別研究員(PD)
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / Geometry
Except Principal Investigator
Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
波面 / 混合型曲面 / 特異点 / ガウス写像 / 主曲率 / 焦曲面 / フロンタル / 焦面 / フロント / 距離二乗関数 … More / 平行曲面 / 回転面 / ツバメの尾 / カスプ辺 / 曲率 / 擬球的曲面 / 漸近線 / リバクール変換 / ガウス曲率 … More
Except Principal Investigator
可展面 / 区分的に滑らかな超曲面 / ローレンツ・ミンコフスキー空間 / エネルギー極小解 / 平均曲率 / ウルフ図形 / 離散幾何 / 幾何解析 / 自由境界問題 / ピロー型ボックス / 等長変形 / ガウス曲率 / 離散曲面 / エネルギー勾配流方程式 / 曲面の内在的曲率 / 曲面の特異点 / ガウス-ボンネの定理 / 非等方的エネルギー / ピローボックス / 区分的に滑らかな曲面 / 測地円 / 変分問題 / 特異性 / 特異点判定法 / 曲率 / ダルブー枠 / 特性線 / 漸近線 / 余階数2特異点 / 螺旋曲面 / 波面 / 特異点 Less
  • Research Projects

    (5 results)
  • Research Products

    (50 results)
  • Co-Researchers

    (8 People)
  •  特異性を持つ曲面の局所的性質と構成法に関する研究Principal Investigator

    • Principal Investigator
      寺本 圭佑
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Yamaguchi University
      Hiroshima University
  •  Cross-disciplinary fusion of singular phenomena by singularity theory

    • Principal Investigator
      佐治 健太郎
    • Project Period (FY)
      2022 – 2027
    • Research Category
      Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kobe University
  •  Variational problems and geometric analysis for hypersurfaces with singular points, and novel development of discrete surface theory

    • Principal Investigator
      小磯 深幸
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kyushu University
  •  Study of surfaces with singular points and singular metricsPrincipal Investigator

    • Principal Investigator
      Teramoto Keisuke
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hiroshima University
      Kyushu University
  •  特異点を持つ曲面の局所及び大域的性質の研究Principal Investigator

    • Principal Investigator
      寺本 圭佑
    • Project Period (FY)
      2017 – 2018
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Research Field
      Geometry
    • Research Institution
      Kobe University

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

  • [Journal Article] Singularities of Gauss maps of frontal surfaces with non-front singular points2024

    • Author(s)
      Teramoto Keisuke
    • Journal Title

      Annales Polonici Mathematici

      Volume: 132 Issue: 1 Pages: 79-100

    • DOI

      10.4064/ap221109-15-12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Journal Article] FOCAL SURFACES OF FRONTS ASSOCIATED TO UNBOUNDED PRINCIPAL CURVATURES2023

    • Author(s)
      Teramoto Keisuke
    • Journal Title

      Rocky Mountain Journal of Mathematics

      Volume: 53 Issue: 5 Pages: 1587-1608

    • DOI

      10.1216/rmj.2023.53.1587

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Journal Article] Caustics of pseudo-spherical surfaces in the Euclidean 3-space2023

    • Author(s)
      Teramoto Keisuke
    • Journal Title

      Forum Mathematicum

      Volume: 36 Issue: 1 Pages: 21-32

    • DOI

      10.1515/forum-2022-0345

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Journal Article] Flat surfaces along swallowtails2022

    • Author(s)
      S. Izumiya, K. Saji, K. Teramoto
    • Journal Title

      Kobe J. Math

      Volume: 39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Journal Article] Flat surfaces along swallowtails2022

    • Author(s)
      S. Izumiya, K. Saji, K Teramoto
    • Journal Title

      Kobe J. Math.

      Volume: 39 Pages: 63-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Journal Article] Flat surfaces along swallowtails2022

    • Author(s)
      Shyuichi Izumiya, Kentaro Saji, Keisuke Teramoto
    • Journal Title

      Kobe Journal of Mathematics

      Volume: 39 Pages: 63-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22KK0034
  • [Journal Article] Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint2021

    • Author(s)
      Honda Atsufumi、Izumiya Shyuichi、Saji Kentaro、Teramoto Keisuke
    • Journal Title

      Tsukuba Journal of Mathematics

      Volume: 45 Issue: 1 Pages: 51-68

    • DOI

      10.21099/tkbjm/20214501051

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03301, KAKENHI-PROJECT-19K14526, KAKENHI-PROJECT-19K14533
  • [Journal Article] Geometric properties near singular points of surfaces given by certain representation formulae2021

    • Author(s)
      Matsushita Yoshiki、Nakashima Takuya、Teramoto Keisuke
    • Journal Title

      Publicationes Mathematicae Debrecen

      Volume: 99 Issue: 3-4 Pages: 331-354

    • DOI

      10.5486/pmd.2021.8904

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Journal Article] Singularities of Gauss maps of wave fronts with non-degenerate singular points2021

    • Author(s)
      Teramoto Keisuke
    • Journal Title

      Bulletin of the Polish Academy of Sciences Mathematics

      Volume: 69 Issue: 2 Pages: 149-169

    • DOI

      10.4064/ba200820-13-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Journal Article] On Gaussian curvatures and singularities of Gauss maps of cuspidal edges2021

    • Author(s)
      Teramoto Keisuke
    • Journal Title

      Portugaliae Mathematica

      Volume: 78 Issue: 2 Pages: 169-185

    • DOI

      10.4171/pm/2065

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Journal Article] Behavior of principal curvatures of frontals near non-front singular points and their applications2021

    • Author(s)
      Saji Kentaro、Teramoto Keisuke
    • Journal Title

      Journal of Geometry

      Volume: 112 Issue: 3

    • DOI

      10.1007/s00022-021-00605-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03301, KAKENHI-PROJECT-19K14533
  • [Journal Article] Surfaces of Revolution of Frontals in the Euclidean Space2019

    • Author(s)
      Takahashi Masatomo、Teramoto Keisuke
    • Journal Title

      Bulletin of the Brazilian Mathematical Society, New Series

      Volume: - Issue: 4 Pages: 887-914

    • DOI

      10.1007/s00574-019-00180-x

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05238, KAKENHI-PROJECT-19K14533
  • [Journal Article] Characterizing singularities of a surface in Lie sphere geometry2019

    • Author(s)
      Mason Pember, Wayne Rossman, Kentaro Saji, Keisuke Teramoto
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 48

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Journal Article] FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE2019

    • Author(s)
      TERAMOTO KEISUKE
    • Journal Title

      Glasgow Mathematical Journal

      Volume: 61 Issue: 2 Pages: 425-440

    • DOI

      10.1017/s0017089518000277

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Journal Article] Principal curvatures and parallel surfaces of wave fronts2018

    • Author(s)
      K. Teramoto
    • Journal Title

      Advances in Geometry

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Journal Article] Constant mean curvature surfaces with $D_4$-singularities2018

    • Author(s)
      Ogata Yuta、Teramoto Keisuke
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 78 Pages: 345-363

    • DOI

      10.2969/aspm/07810345

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Journal Article] Duality between cuspidal butterflies and cuspidal $S_1^-$ singularities on maximal surfaces2018

    • Author(s)
      Ogata Yuta、Teramoto Keisuke
    • Journal Title

      Note di Matematica

      Volume: 38 Pages: 115-130

    • DOI

      10.1285/i15900932v38n1p115

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17J02151, KAKENHI-PROJECT-17H07321
  • [Journal Article] Constant mean curvature with $D_4$-singularities2018

    • Author(s)
      Y. Ogata and K. Teramoto
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 擬球的波面とその焦面について2024

    • Author(s)
      寺本圭佑
    • Organizer
      第10回室蘭連続講演会
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Presentation] 擬球的曲面の焦面とその極小性について2023

    • Author(s)
      寺本圭佑
    • Organizer
      特異点論及びその周辺分野の深化と異分野への応用
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Presentation] ある表現公式で与えられる曲面の特異点と幾何学的性質について2023

    • Author(s)
      寺本 圭佑
    • Organizer
      接触構造、特異点、微分方程式及びその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Presentation] ある表現公式で与えられる曲面の特異点と幾何学的性質について2023

    • Author(s)
      寺本圭佑
    • Organizer
      接触構造、特異点、微分方程式及びその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] 擬球的曲面の焦面の極小性について2023

    • Author(s)
      寺本圭佑
    • Organizer
      第70回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Presentation] 擬球的曲面の焦面について2022

    • Author(s)
      寺本圭佑
    • Organizer
      第69回 幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] On caustics of pseudo-spheircal surfaces2022

    • Author(s)
      Keisuke Teramoto
    • Organizer
      On-demand conference Singularity theory and its application
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] 擬球的曲面の焦面について2022

    • Author(s)
      寺本 圭佑
    • Organizer
      横浜幾何学小研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] 擬球的曲面の焦面について2022

    • Author(s)
      寺本 圭佑
    • Organizer
      第69回 幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13914
  • [Presentation] 波面の焦曲面について2021

    • Author(s)
      寺本 圭佑
    • Organizer
      広島幾何学研究集会 2021 オンライン
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] ある表現公式で与えられる曲面の特異点における幾何学的性質について2021

    • Author(s)
      寺本圭佑
    • Organizer
      幾何や自然科学に現れる特異点
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] 波面の非有界な主曲率に関する焦曲面2021

    • Author(s)
      寺本 圭佑
    • Organizer
      特異点論の未来
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] Behavior of principal curvatures of frontals near non-front singular points2020

    • Author(s)
      Keisuke Teramoto
    • Organizer
      The 16th International Workshop on Real and Complex Singularity Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] カスプ辺のガウス曲率とガウス写像の特異性について2020

    • Author(s)
      寺本圭佑
    • Organizer
      部分多様体論オンライン2020
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] Behavior of the Gaussian curvature and singularities of Gauss map of cuspidal edges2019

    • Author(s)
      keisuke Teramoto
    • Organizer
      Brazilian-Japanese singularity days at Unesp/Rio Preto
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] カスプ辺上の関数と $D_4$ 特異点2019

    • Author(s)
      寺本圭佑
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] ある性質を持つカスプ辺とそのガウス写像に現れるカスプ特異点の幾何学的性質の関係について2019

    • Author(s)
      寺本圭佑
    • Organizer
      第15回数学総合若手研究集会
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] On signs of Whitney cusps on Gauss maps of cuspidal edges with bounded Gaussian curvature2019

    • Author(s)
      寺本圭佑
    • Organizer
      AMS Sectional Meeting
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] Duality of geometric invariants on cuspidal edges on flat fronts in the hyperbolic 3-space and the de Sitter 3-space2019

    • Author(s)
      寺本 圭佑
    • Organizer
      Workshop on Submanifold theory in a wider sense
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14533
  • [Presentation] 有界なガウス曲率を持つカスプ辺のガウス写像に現れるカスプ特異点について2019

    • Author(s)
      寺本圭佑
    • Organizer
      幾何学と特異点2019
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 3次元ローレンツ多様体内の有界なガウス曲率を持つ混合型曲面2019

    • Author(s)
      本田淳史、佐治健太郎、寺本圭佑
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 双曲空間及びド・ジッター空間内の平坦波面に現れるカスプ辺の不変量の双対性2019

    • Author(s)
      寺本圭佑
    • Organizer
      接触構造、特異点、微分方程式及びその周辺
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 非有界な関数を平均曲率に持つ特異回転面について2018

    • Author(s)
      寺本圭佑
    • Organizer
      第14回 数学総合若手研究集会
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] カスプ辺の法写像の性質2018

    • Author(s)
      寺本圭佑
    • Organizer
      第65回トポロジーシンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 与えられた非有界関数を平均曲率にもつ特異曲面について2018

    • Author(s)
      寺本圭佑
    • Organizer
      第65回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] Surfaces of revolution of frontal curves2018

    • Author(s)
      寺本圭佑
    • Organizer
      Research on topology and differential geometry using singularity theory of differentiable mappings
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] ある性質を持つカスプ辺のガウス写像に現れるカスプの符号について2018

    • Author(s)
      寺本圭佑
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 非有界関数を平均曲率に持つ特異回転面について2017

    • Author(s)
      寺本圭佑
    • Organizer
      横国大幾何学セミナー
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 波面の焦面について2017

    • Author(s)
      寺本圭佑
    • Organizer
      第64回 幾何学シンポジウム
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] 波面のガウス写像について2017

    • Author(s)
      寺本圭佑
    • Organizer
      RIMS共同研究(公開型) 可微分写像の特異点論の局所的研究と大域的研究
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] Focal surfaces of wave fronts2017

    • Author(s)
      Keisuke Teramoto
    • Organizer
      Geomeric and Algebraic Singularity Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17J02151
  • [Presentation] カスプ辺の焦曲面について2017

    • Author(s)
      寺本圭佑
    • Organizer
      微分幾何学と特異点論の応用
    • Data Source
      KAKENHI-PROJECT-17J02151
  • 1.  佐治 健太郎 (70451432)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 2.  高橋 雅朋 (80431302)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 3.  小磯 深幸 (10178189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  石渡 哲哉 (50334917)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  可香谷 隆 (60814431)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  松江 要 (70610046)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  安本 真士 (70770543)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  本田 淳史 (90708611)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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