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Yamamoto Hikaru  山本 光

Researcher Number 50778173
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-7047-2914
Affiliation (Current) 2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 筑波大学, 数理物質系, 准教授
2016 – 2019: 東京理科大学, 理学部第一部数学科, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / Geometry
Keywords
Principal Investigator
特殊ラグランジュ部分多様体 / ミラー対称性 / ラグランジュ部分多様体 / 変形エルミート・ヤン・ミルズ接続 / 幾何解析 / ハミルトン変形 / 非線形偏微分方程式 / 完全非線形楕円型偏微分方程式 / 第二基本形式 / 環状近傍 … More / カラビヤウ多様体 / 自己縮小解 / イプシロン正則性定理 / 単調性公式 / 線束平均曲率流 / 変形エルミートヤンミルズ接続 / 実フーリエ向井変換 / フーリエ向井変換 / 変形理論 / モジュライ空間 / 特殊ホロノミー / 変形ドナルドソン・トーマス接続 / 平均曲率流 / リッチフロー / ラグランジュ平均曲率流 / dHYM connection / mirror symmetry / Ricci flow / special Lagrangian / Lagrangian / mean curvature flow Less
  • Research Projects

    (3 results)
  • Research Products

    (38 results)
  •  Geometry of Special Lagrangian equationPrincipal Investigator

    • Principal Investigator
      山本 光
    • Project Period (FY)
      2022 – 2027
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      University of Tsukuba
  •  Study of fundamental properties of deformed Hermitian Yang-Mills connections and line bundle mean curvature flowsPrincipal Investigator

    • Principal Investigator
      Yamamoto Hikaru
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      University of Tsukuba
      Tokyo University of Science
  •  Geometric analysis of Lagrangian mean curvature flows and Ricci flowsPrincipal Investigator

    • Principal Investigator
      Yamamoto Hikaru
    • Project Period (FY)
      2016 – 2017
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Geometry
    • Research Institution
      Tokyo University of Science

All 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

  • [Journal Article] Deformation Theory of Deformed Hermitian Yang?Mills Connections and Deformed Donaldson?Thomas Connections2022

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 32 Issue: 5

    • DOI

      10.1007/s12220-022-00898-z

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] The real Fourier?Mukai transform of Cayley cycles2021

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 17 Issue: 5 Pages: 1861-1898

    • DOI

      10.4310/pamq.2021.v17.n5.a7

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] Deformation Theory of Deformed Donaldson?Thomas Connections for $${\text {Spin}(7)}$$-manifolds2021

    • Author(s)
      Kawai Kotaro、Yamamoto Hikaru
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 31 Issue: 12 Pages: 12098-12154

    • DOI

      10.1007/s12220-021-00712-2

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13415, KAKENHI-PROJECT-21K03231
  • [Journal Article] Ricci-mean curvature flows in gradient shrinking Ricci solitons2019

    • Author(s)
      Hikaru Yamamoto
    • Journal Title

      Asian Journal of Mathematics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Journal Article] Solutions with time-dependent singular sets for the heat equation with absorption2019

    • Author(s)
      Jin Takahashi, Hikaru Yamamoto
    • Journal Title

      Journal of Differential Equations

      Volume: 266 Issue: 7 Pages: 4061-4105

    • DOI

      10.1016/j.jde.2018.09.029

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Journal Article] Examples of Ricci-Mean Curvature Flows2018

    • Author(s)
      Hikaru Yamamoto
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 28 Issue: 2 Pages: 983-1004

    • DOI

      10.1007/s12220-017-9851-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Journal Article] Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold2018

    • Author(s)
      Hikaru Yamamoto
    • Journal Title

      Mathematische Zeitschrift

      Volume: 印刷中 Issue: 3-4 Pages: 1023-1040

    • DOI

      10.1007/s00209-018-2050-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Journal Article] Gauss maps of the Ricci-mean curvature flow2018

    • Author(s)
      Naoyuki Koike, Hikaru Yamamoto
    • Journal Title

      Geometriae Dedicata

      Volume: 194 Issue: 1 Pages: 169-185

    • DOI

      10.1007/s10711-017-0271-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H07229, KAKENHI-PROJECT-18K03311, KAKENHI-PROJECT-25247008
  • [Journal Article] Lagrangian self-similar solutions in gradient shrinking Kahler-Ricci solitons2017

    • Author(s)
      Hikaru Yamamoto
    • Journal Title

      Journal of Geometry

      Volume: 108(1) Issue: 1 Pages: 247-254

    • DOI

      10.1007/s00022-016-0336-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] 線束平均曲率流とdYHM接続のモジュライ空間2021

    • Author(s)
      山本光
    • Organizer
      対称空間の部分多様体とその時間発展
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続のモジュライ空間2021

    • Author(s)
      山本光
    • Organizer
      部分多様体幾何とリー群作用
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続の基礎と最近の研究2021

    • Author(s)
      山本光
    • Organizer
      筑波大学微分幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ(dHYM)接続入門2021

    • Author(s)
      山本光
    • Organizer
      対称空間の部分多様体とその時間発展
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 特殊ラグランジュ部分多様体と平均曲率流とそのミラー2020

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      大阪市立大学数学研究会特別賞受賞講演
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 特殊ラグランジュ部分多様体と平均曲率流とそのミラー2020

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      日本数学会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] ε-regularity theorem for line bundle mean curvature flows2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      The Workshop on Global Aspects of Projective and Kahler Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続入門2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      東北大幾何セミナー
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] An epsilon regularity theorem for line bundle mean curvature flow2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      East Asian Symplectic Conference 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] An epsilon regularity theorem for line bundle mean curvature flow2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      Trends in Modern Geometry 2019
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] The moduli space of deformed Hermitian Yang-Mills connections2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      Complex Geometry Seminar of Yau Mathematical Science Center
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 線束平均曲率流の ε-正則性定理2019

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続と線束平均曲率流について2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      福岡大学微分幾何研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] On correspondence between special Lagrangian submanifolds and deformed Hermitian Yang-Mills connections2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      Geometry of Submanifolds and Integrable Systems
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] Special Lagrangian, deformed Hermitian Yang-Mills and line bundle mean curvature flow2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      第65回幾何学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続と線束平均曲率流2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      東京理科大学幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      国際数学者会議 2018 (ICM 2018)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] 変形エルミート・ヤン・ミルズ接続の幾何学2018

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      部分多様体幾何とリー群作用
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13415
  • [Presentation] On coupled flows with mean curvature flows and Ricci flows2017

    • Author(s)
      山本 光
    • Organizer
      Workshop on Analysis in Kagurazaka 2017
    • Place of Presentation
      東京理科大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] リッチ平均曲率流とそのガウス写像について2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      福岡大学微分幾何研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] Ricci-mean curvature flows and its Gauss maps2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      The 13th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifold Geometry and Lie Theory
    • Place of Presentation
      大阪市立大学
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] 特殊ラグランジュ部分多様体と変形エルミート・ヤン・ミルズ接続のミラー対応2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] Ricci-mean curvature flows and its Gauss maps2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      Geometric flows and Related Problems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] Mean curvature flows in several ambient spaces and its monotonicity formulas2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      首都大幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] LYZ ansatz on tropical manifolds2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      The Third Japanese-Spanish workshop on Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] 平均曲率流の特異点について2017

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      部分多様体論の潮流
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] リッチ平均曲率流とその具体例について2016

    • Author(s)
      山本 光
    • Organizer
      福岡大学微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] Ricci-mean curvature flows in gradient shrinking Ricci solitons2016

    • Author(s)
      Hikaru Yamamoto
    • Organizer
      The second China-Japan geometry conference
    • Place of Presentation
      Fujian Normal University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H07229
  • [Presentation] リッチフローと平均曲率流の混合方程式について2016

    • Author(s)
      山本 光
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Place of Presentation
      岡山大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H07229

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