HOMMA Yasushi 本間泰史

… Alternative Names

本間泰史ホンマヤスシ

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Researcher Number	50329108
Other IDs	https://orcid.org/0000-0002-7601-894X
External Links
Affiliation (Current)	2025: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 早稲田大学, 理工学術院, 教授 2015 – 2017: 早稲田大学, 理工学術院, 教授 2012: 早稲田大学, 理工学術院, 教授 2010 – 2011: 早稲田大学, 理工学術院, 准教授 2007 – 2008: Waseda University, 理工学術院, 准教授 2005 – 2006: 東京理科大学, 理工学部, 助手 2001 – 2002: 早稲田大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related / Global analysis Except Principal Investigator Global analysis / Global analysis / Geometry
Keywords	Principal Investigator ディラック作用素 / スピン幾何学 / 幾何学 / ラリタ・シュインガー場 / クリフォード解析 / 対称空間 / ラリタ-シュインガー作用素 / ラリタ・シュインガー作用素 / ワイゼンベック公式 / クリフォード代数 … More / 四元数ケーラー幾何学 / Howe双対性 / 定曲率空間 / 高次スピン / Higgs代数 / higher spin / ケーリー・ラプラス作用素 / ヒッグス代数 / 実グラスマン多様体 / 高階スピン / ラリタ-シュインガー場 / スピノール場 / アインシュタイン多様体 / ラプラス作用素 / 幾何構造 / スピン幾何 / 微分幾何 / エータ関数 / 微分幾何学 / 四元数ケーラー多様体 / ツイスター / 球面調和多項式 / コーシー核 / カシミール元 / 消滅定理 / Dirac作用素 / 固有値評価 / ケーラー多様体 / カシミール作用素 / 普遍展開環 / ボホナー-ワイゼンベック公式 / 高次カシミール元 / 共形共変一階微分作用素 … More Except Principal Investigator Riemann-Roch theorem / Runge theorem / Residue theorem / Harmonic spinors / Dirac operator / Conformally flat 4-manifolds / Wess-Zumino-Witten actions / Beverin trans form / Toplity openata / Hilbert-Schmidt operator / Apkevical Apace form / Seta-wgataviged Deteiminant / Afrya-Patodi-singer bourdary conditior / elliptic openrator / spectral flow / Pseudo-differential operator / Geometric quantization / 非局所的楕円型境界条件 / Spectral flow / Hormander Index / 楕円関数 / ベキ零リー群 / 熱核 / hyper geometric sertes / Fock Space / Hilbert-Schmidt Operator / Segal-Bargmann Space / Pseudo-differential Operator / Reproducing Kernel / Geometric Quantization / Clifford module / sub-Riemanian structure / 江上補間方法 / zeta正則化行列式 / lenz space / spherical space form / ベレージン変換 / テプリッ作用素 / ヒルベルトツュシット作用素 / 球空間形 / ゼーター正則化行列式 / Atryah-Patodi-Songer境界条件 / 楕円型作用素 / スペクトル流 / Axiomatic field theory / 写像群の中心拡大 / リーマン・ロッホ型定理 / 共形平坦 / 調和スピノール / WZWモデル / Conformally flat manifolds / Axiomatic field theories / ホップ不変量 / ラグランジアン / Vassiliev不変量 / 渦流 / 絡み目 / 結び目 / Faddeev-Hopf結び目 Less

Spin Geometry and Clifford AnalysisPrincipal Investigator
- Principal Investigator
  
  本間泰史
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
New developments in spin geometryPrincipal Investigator
- Principal Investigator
  
  HOMMA Yasushi
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
Study on identites for generalized gradients associated to geometric structures and their applicationsPrincipal Investigator
- Principal Investigator
  
  HOMMA Yasushi
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Development of spin geometry with the Rarita-Schwinger operatorsPrincipal Investigator
- Principal Investigator
  
  HOMMA Yasushi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Study on the first order differential operators associated to holonomy groupsPrincipal Investigator
- Principal Investigator
  
  HOMMA Yasushi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
  Tokyo University of Science
Study of Analysis on Manifolds
- Principal Investigator
  
  FURUTANI Kenro
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo University of Science
ディラック作用素とクリフォード代数の一般化と諸分野への応用Principal Investigator
- Principal Investigator
  
  本間泰史
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Geometry of Field Theory and Spinor Analysis
- Principal Investigator
  
  KORI Tosiaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Faddeev-Hopf結び目の研究
- Principal Investigator
  
  村上斉
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology

All 2023 2021 2020 2019 2016 2015 2012 2010 2006 2005 Other

All Journal Article Presentation Book

[Book] スピン幾何学-スピノール場の数学-2016
- Author(s)
  本間泰史
- Total Pages
  256
- Publisher
  森北出版
- Data Source
  KAKENHI-PROJECT-15K04858
[Journal Article] The spinor and tensor fields with higher spin on spaces of constant curvature2021
- Author(s)
  Yasushi HOMMA, Takuma TOMIHISA
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 60 Issue: 4 Pages: 829-861
- DOI
  10.1007/s10455-021-09791-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03480, KAKENHI-PROJECT-18H03668
[Journal Article] Spectra of the Rarita-Schwinger Operator on Some Symmetric Spaces2021
- Author(s)
  Homma Y.、Tomihisa T.
- Journal Title
  
  Journal of Lie Theory
  
  Volume: 31 Pages: 249-264
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03480
[Journal Article] Pizzetti formula on the Grassmannian of 2-planes2020
- Author(s)
  Eelbode D.、Homma Y.
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 58 Issue: 3 Pages: 325-350
- DOI
  10.1007/s10455-020-09731-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03480
[Journal Article] Twisted Dirac operators and generalized gradients2016
- Author(s)
  Yasushi Homma
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 印刷中 Issue: 2 Pages: 101-127
- DOI
  10.1007/s10455-016-9503-7
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04858
[Journal Article] Bochner-Weizenbrock formula and curvature actions on Riemanian manifolds2006
- Author(s)
  Yasushi Homma
- Journal Title
  
  Transactions of A.M.S 358
  
  Pages: 87-114
- Data Source
  KAKENHI-PROJECT-17540202
[Journal Article] Estimating the eigenvalues on Quaternionic Kahler Manifolds2006
- Author(s)
  Yasushi Homma
- Journal Title
  
  International Journal of Mathematics Vol.17,No.6
  
  Pages: 665-691
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740036
[Journal Article] Estimating the eigenvalues on Quaternionic Kahler Manifolds2006
- Author(s)
  Yasushi Homma
- Journal Title
  
  International Journal of Mathematics Vol.17 No. 6
  
  Pages: 665-691
- Data Source
  KAKENHI-PROJECT-18740036
[Journal Article] Bochner identities for Kahlerian gradients2005
- Author(s)
  Yasushi Homma
- Journal Title
  
  Mathematische Annalen 333
  
  Pages: 181-211
- Data Source
  KAKENHI-PROJECT-17540202
[Presentation] Rarita-Schwinger fields on Einstein manifolds2023
- Author(s)
  Yasushi HOMMA
- Organizer
  Semiclassic seminar at University of Cologne
- Invited
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] Higgs algebra in harmonic analysis on the Grassmannian of 2-planes2023
- Author(s)
  本間泰史
- Organizer
  mini-workshop, Global analysis and geometrry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] 定曲率空間上のスピノール解析2021
- Author(s)
  富久拓磨, 本間泰史
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] Pizzetti formula on the Grassmannian of 2-planes2021
- Author(s)
  本間泰史, David Eelbode
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] Higgs algebra in harmonic analysis on the Grassmannian of 2-planes2021
- Author(s)
  本間泰史
- Organizer
  第68回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] 対称空間上のRarita-Schwinger作用素の固有値について2020
- Author(s)
  富久拓磨, 本間泰史
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] The Rarita-Schwinger Operator and Spin Geometry2019
- Author(s)
  Yasushi HOMMA
- Organizer
  The second Taiwan-Japan Joint Conference on Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03480
[Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015
- Author(s)
  本間泰史
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15K04858
[Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015
- Author(s)
  本間泰史
- Organizer
  数理物理・幾何ミニワークショップ
- Place of Presentation
  大阪市立大学
- Year and Date
  2015-08-23
- Invited
- Data Source
  KAKENHI-PROJECT-15K04858
[Presentation] The Rarita-Schwinger operator on Einstein spin manifolds2015
- Author(s)
  本間泰史
- Organizer
  研究集会「非可換幾何学と数理物理学」
- Place of Presentation
  慶応大学
- Year and Date
  2015-07-24
- Data Source
  KAKENHI-PROJECT-15K04858
[Presentation] ディラック作用素などの幾何学的一階微分作用素の話2012
- Author(s)
  本間泰史
- Organizer
  関東若手幾何セミナー
- Place of Presentation
  首都大学東京
- Year and Date
  2012-12-20
- Data Source
  KAKENHI-PROJECT-22740047
[Presentation] The Rarita-Schwinger operator (spin 3/2 Dirac operator)について2010
- Author(s)
  本間泰史
- Organizer
  幾何学阿蘇研究集会
- Place of Presentation
  休暇村南阿蘇
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-22740047
[Presentation] The Rarita-Schwinger operator(spin 3/2 Dirac operator)について2010
- Author(s)
  本間泰史
- Organizer
  幾何学阿蘇研究集会
- Place of Presentation
  休暇村南阿蘇
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-22740047
[Presentation] ディラック作用素などの幾何学的一階微分作用素の話
- Author(s)
  本間泰史
- Organizer
  第5回関東若手幾何セミナー
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-22740047

1. 鈴木達夫 (70318799)

# of Collaborated Projects: 2 results

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2. 村上斉 (70192771)

# of Collaborated Projects: 1 results

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3. 落合啓之 (90214163)

# of Collaborated Projects: 1 results

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4. 牛島顕 (50323803)

# of Collaborated Projects: 1 results

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5. 筧三郎 (60318798)

# of Collaborated Projects: 1 results

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6. KORI Tosiaki (50063730)

# of Collaborated Projects: 1 results

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7. FURUTANI Kenro (70112901)

# of Collaborated Projects: 1 results

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8. IWASAKI Chisato (30028261)

# of Collaborated Projects: 1 results

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9. MORIMOTO Tohru (80025460)

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10. BAUER Wdfram (80453819)

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11. 小林嶺道 (70120186)

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12. 小林隆夫 (90178319)

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13. 大野走馬 (60979821)

# of Collaborated Projects: 1 results

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HOMMA Yasushi 本間 泰史

本間 泰史 ホンマ ヤスシ

Research Projects

Research Products

Co-Researchers

Spin Geometry and Clifford AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New developments in spin geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on identites for generalized gradients associated to geometric structures and their applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of spin geometry with the Rarita-Schwinger operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on the first order differential operators associated to holonomy groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Analysis on Manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ディラック作用素とクリフォード代数の一般化と諸分野への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Field Theory and Spinor Analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Faddeev-Hopf結び目の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] スピン幾何学-スピノール場の数学-2016

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] The spinor and tensor fields with higher spin on spaces of constant curvature2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spectra of the Rarita-Schwinger Operator on Some Symmetric Spaces2021

Author(s)

Journal Title

Data Source

[Journal Article] Pizzetti formula on the Grassmannian of 2-planes2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Dirac operators and generalized gradients2016

Author(s)

HOMMA Yasushi 本間泰史

本間泰史ホンマヤスシ