Yamamoto Hikaru 山本光

Researcher Number	50778173
Other IDs	https://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

Yamamoto Hikaru 山本 光

Research Projects

Research Products

Geometry of Special Lagrangian equationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of fundamental properties of deformed Hermitian Yang-Mills connections and line bundle mean curvature flowsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometric analysis of Lagrangian mean curvature flows and Ricci flowsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The real Fourier?Mukai transform of Cayley cycles2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Deformation Theory of Deformed Donaldson?Thomas Connections for $${\text {Spin}(7)}$$-manifolds2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Ricci-mean curvature flows in gradient shrinking Ricci solitons2019

Author(s)

Journal Title

Data Source

[Journal Article] Solutions with time-dependent singular sets for the heat equation with absorption2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Examples of Ricci-Mean Curvature Flows2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Gauss maps of the Ricci-mean curvature flow2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lagrangian self-similar solutions in gradient shrinking Kahler-Ricci solitons2017

Author(s)

Journal Title

DOI

Data Source

[Presentation] 線束平均曲率流とdYHM接続のモジュライ空間2021

Author(s)

Organizer

Data Source

[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)

Organizer

Data Source

[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)

Organizer

Data Source

[Presentation] 変形エルミート・ヤン・ミルズ（dHYM）接続入門2021

Author(s)

Organizer

Yamamoto Hikaru 山本光