Concurrent Post
-
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2022/05/19
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
理工学術院総合研究所 兼任研究員
Waseda University Doctoral program, Graduate School, Division of Science and Engineering Department of Mathematical Scienece
Waseda University Master's program, Graduate School, Division of Science and Engineering Department of Mathematical Science
Waseda University Faculty of Science and Engineering Department of Mathematicas
早稲田大学 博士(理学)
Waseda University Doctor of Science
Waseda University Department of Mathematics, Faculty of Science and Engineering Professor
Waseda University Department of Mathematics, Faculty of Science and Engineering Associate Professor
Tokyo University of Science Faculty of Science and Technology Research associate
the Japan Society for the Promotion of Science Resarch Fellow
Waseda University Facultt of Science and Engineering Research associate
The Mathematical Society of Japan
Geometry
analysis on manifolds
Differential geometry
The spinor and tensor fields with higher spin on spaces of constant curvature
Yasushi Homma, Takuma Tomihisa
Annals of Global Analysis and Geometry 60 ( 4 ) 829 - 861 2021.11 [Refereed]
Spectra of the Rarita-Schwinger Operator on Some Symmetric Spaces
Yasushi Homma, Takuma Tomihisa
JOURNAL OF LIE THEORY 31 ( 1 ) 249 - 264 2021 [Refereed]
Pizzetti formula on the Grassmannian of 2-planes
D. Eelbode, Y. Homma
Annals of Global Analysis and Geometry 58 ( 3 ) 325 - 350 2020.10 [Refereed]
The Kernel of the Rarita–Schwinger Operator on Riemannian Spin Manifolds
Yasushi Homma, Uwe Semmelmann
Communications in Mathematical Physics 370 ( 3 ) 853 - 871 2019.09 [Refereed]
Twisted Dirac operators and generalized gradients
Yasushi Homma
Annals of Global Analysis and Geometry 50 ( 2 ) 101 - 127 2016.09 [Refereed]
ESTIMATING THE EIGENVALUES ON QUATERNIONIC KÄHLER MANIFOLDS
YASUSHI HOMMA
International Journal of Mathematics 17 ( 06 ) 665 - 691 2006.07 [Refereed]
Bochner identities for Kählerian gradients
Yasushi Homma
Mathematische Annalen 333 ( 1 ) 181 - 211 2005.09 [Refereed]
Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds
Yasushi Homma
Transactions of the American Mathematical Society 358 ( 1 ) 87 - 114 2005.08 [Refereed]
Casimir Elements and Bochner Identities on Riemannian Manifolds
Yasushi Homma
Clifford Algebras 185 - 199 2004 [Refereed]
Universal Bochner-Weitzenböck Formulas for Hyper-Kählerian Gradients
Yasushi Homma
Advances in Analysis and Geometry 189 - 208 2004 [Refereed]
The Higher Spin Dirac Operators on 3-Dimensional Manifolds
Yasushi HOMMA
Tokyo Journal of Mathematics 24 ( 2 ) 579 - 596 2001.12 [Refereed]
Spherical harmonic polynomials for higher bundles
Yasushi Homma
Advances in Applied Clifford Algebras 11 ( S2 ) 117 - 126 2001.06 [Refereed]
Spinor-valued and Clifford algebra-valued harmonic polynomials
Yasushi Homma
Journal of Geometry and Physics 37 ( 3 ) 201 - 215 2001.02 [Refereed]
A Representation of $Spin(4)$ on the Eigenspinors of the Dirac Operator on $S^3$
Yasushi HOMMA
Tokyo Journal of Mathematics 23 ( 2 ) 453 - 472 2000.12 [Refereed]
KAZUYUKI FUJII, YASUSHI HOMMA, TATSUO SUZUKI
Modern Physics Letters A 14 ( 14 ) 919 - 928 1999.05 [Refereed]
Nonlinear Grassmann sigma models in any dimension and an infinite number of conserved currents
Kazuyuki Fujii, Yasushi Homma, Tatsuo Suzuki
Physics Letters B 438 ( 3-4 ) 290 - 294 1998.10 [Refereed]
Dirac operators, Clifford algebras, and their generalization
Yasushi HOMMA
2000.03 [Refereed]
spin geometry -Mathematics of spinor fields-
Yasushi Homma( Part: Sole author)
2016.11 ISBN: 9784627077614
大学新入生のための基礎数学
米田, 元, 本間, 泰史, 高橋, 大輔( Part: Joint author)
サイエンス社 2010.10 ISBN: 9784781912615
Higgs algebra in harmonic analysis on the Grassmannian of 2-planes
Yasushi HOMMA
2021.08 [Invited]
Research paper, summary (national, other academic conference)
Estimating the eigenvalues on Quaternionic Kahler manifolds
第52回幾何学シンポジウム講演要旨 322 - 331 2005.08 [Invited]
Research paper, summary (national, other academic conference)
幾何学的一階微分作用素と不変式(力学系と微分幾何)
本間泰史
77 - 96 2004.12 [Invited]
Research paper, summary (national, other academic conference)
ケーラー多様体上のユニタリ群不変一階微分作用素
本間泰史
第49回幾何学シンポジウム講演要旨 195 - 181 2002.07 [Invited]
Research paper, summary (national, other academic conference)
クリフォード代数の一般化と高次カシミール作用素
本間泰史
2001年度表現論シンポジウム 報告集 2001.11 [Invited]
Research paper, summary (national, other academic conference)
Conformally covariant differential operators and Clifford homomorphisms
本間泰史
第48回幾何学シンポジウム講演要旨 2001.08 [Invited]
Research paper, summary (national, other academic conference)
ディラック作用素とクリフォード解析
本間泰史
研究集会「量子化の幾何学」報告集 44 - 61 2001.08
Research paper, summary (national, other academic conference)
A method for constructing models which have an infinite number of conserved currents (Dynamical Systems and Differential Geometry)
Fujii Kazuyuki, Homma Yasushi, Suzuki Tatsuo
RIMS Kokyuroku 1119 138 - 145 1999.11 [Invited]
Spinor-Valued and Clifford Algebra-Valued Harmonic Polynomials (Dynamical Systems and Differential Geometry)
Homma Yasushi
RIMS Kokyuroku 1119 158 - 170 1999.11 [Invited]
Nonlinear Grassmann Sigma Model in Any Dimension and An Infinite Number of Conserved (2)
Homma Yasushi
RIMS Kokyuroku 1070 184 - 190 1998.11 [Invited]
早稲田大学ティーチングアワード2017秋学期
2018 早稲田大学理工学術院 科目 数学A2(線形代数)
New developments in spin geometry
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
Study on identites for generalized gradients associated to geometric structures and their applications
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
HOMMA Yasushi
Development of spin geometry with the Rarita-Schwinger operators
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Project Year :
HOMMA Yasushi
Study on the first order differential operators associated to holonomy groups
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Project Year :
HOMMA Yasushi
共形共変一階微分作用素の微分幾何学、大域解析学の視点からの研究
日本学術振興会 科学研究費助成事業 特別研究員奨励費
Project Year :
本間 泰史
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
日本学術振興会 科学研究費助成事業 若手研究(B)
Project Year :
本間 泰史
Study of Analysis on Manifolds
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
FURUTANI Kenro, IWASAKI Chisato, MORIMOTO Tohru, BAUER Wdfram
Geometry of Field Theory and Spinor Analysis
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
KORI Tosiaki
Faddeev-Hopf結び目の研究
日本学術振興会 科学研究費助成事業 萌芽的研究
Project Year :
村上 斉, 本間 泰史, 落合 啓之, 牛島 顕, 鈴木 達夫, 筧 三郎
Higgs algebra in harmonic analysis on the Grassmannian of 2-planes
Yasushi HOMMA [Invited]
Presentation date: 2021.09
Pizzetti formula on the Grassmannian of 2-planes
Yasushi Homma, David Eelbode
Presentation date: 2021.03
Spinor analysis on spaces of constant curvature
Takuma Tomihisa, Yasushi Homma
Presentation date: 2021.03
Spectra of the Rarita–Schwinger operator on some symmetric spaces
Takuma TOMIHISA, Yasushi HOMMA
Presentation date: 2020.09
The Rarita-Schwinger Operator and Spin Geometry
Yasushi HOMMA [Invited]
The second Taiwan-Japan Joint Conference on Differential Geometry (National Center for Theoretical Sciences)
Presentation date: 2019.11
Toward spin 3/2 geometry
Yasushi HOMMA [Invited]
Analysis & Geometry Seminar at University of Antwerp
Presentation date: 2019.08
The kernel of the Rarita-Schwinger operator on RIemannian spin manifolds
Yasushi Homma [Invited]
静岡研究会
Presentation date: 2019.03
Toward spin 3/2 geometry
Yasushi Homma [Invited]
日本数学会年会 (東京工業大学)
Presentation date: 2019.03
ラリタ--シュインガー場と幾何構造について
Yasushi Homma [Invited]
Poisson幾何とその周辺 (東京理科大学)
Presentation date: 2018.12
The kernel of the Rarita–Schwinger operator on Riemannian spin manifolds
Yasushi Homma
Presentation date: 2018.09
The Rarita-Schwinger operator on Einstein spin manifolds
Yasushi Homma
Presentation date: 2015.09
The Rarita-Schwinger opeator on Einstein spin manifolds
Presentation date: 2015.08
The Rarita-Schwinger operator on Einstein spin manifolds
本間泰史
研究集会「非可換幾何学と数理物理学」 (慶応大学日吉)
Presentation date: 2015.07
Twisted Dirac operators and Generalized gradients on Rimannian spin manifolds
Yasushi Homma
The 7th OCAMI-TIMS-Kobe-Waseda Joint International Workshop on Differential Geometry, Geometric Analysis and Mathematical Physics (Osaka City University)
Presentation date: 2015.03
Twisted Dirac operators and generalized gradients
Yasushi Homma
Presentation date: 2014.12
Twisted Dirac operators and generalized gradients
Yasushi Homma
Presentation date: 2014.09
The Rarita-Schwinger operator (spin 3/2 Dirac operator)について
本間泰史
幾何学阿蘇研究集会 (休暇村南阿蘇)
Presentation date: 2010.08
スピン$3/2$ディラック作用素と調和多項式
本間泰史
四元数的構造と関連分野 (お茶の水女子大学)
Presentation date: 2009.03
スピン幾何学(表現論の視点から)
本間泰史
広島幾何研究会 (広島大学)
Presentation date: 2005.10
Estimating the eigenvalues on Quaternionic Kahler manifolds
Yasushi Homma
Presentation date: 2005.08
The Bochner Weitzenb"ock formula for the Pfaffian element and its applications
Yasushi Homma
Presentation date: 2005.02
四元数ケーラー多様体上の固有値評価
Yasushi Homma
Presentation date: 2004.09
Einstein tensor and Paffian
Yasushi Homma
Presentation date: 2004.09
幾何学的一階微分作用素と不変式
Yasushi Homma
Presentation date: 2004.09
Differnital operators on quaternionic Kahler manifold
Yasushi Homma
Presentation date: 2004.08
Differnital operators on quaternionic Kahler manifolds
Yasushi Homma
Presentation date: 2004.06
Bochner-Weitzenb"ock formulas on quaternionic K"ahler manifolds
Yasushi Homma
Presentation date: 2004.01
Bochner-Weitzenb"ock formula and curvature actions on Riemannian manifolds
Yasushi Homma
Presentation date: 2003.12
パフィアン型カシミール元と微分幾何
Yasushi Homma
Presentation date: 2003.06
Universal Bochner-Weitzenb"ock formula and Casimir elements
Yasushi Homma
Presentation date: 2003.03
カシミール作用素とボホナー恒等式
Yasushi Homma
Presentation date: 2002.10
カシミール作用素とボホナー恒等式
Yasushi Homma
Presentation date: 2002.10
Dirac operator からgradientsへ
Yasushi Homma
Presentation date: 2002.09
Algebaic structure for conformally covariant first order differential operators
Yasushi Homma
Presentation date: 2002.08
ケーラー多様体上のユニタリ群不変一階微分作用素
Yasushi Homma
Presentation date: 2002.07
gradient type operators on K"ahler manifolds
Yasushi Homma
Presentation date: 2002.05
gradient type operators on K"ahler manifolds
Yasushi Homma
Presentation date: 2002.03
gradient type operators on K"ahler manifolds
Yasushi Homma
Presentation date: 2002.03
クリフォード代数の一般化と高次カシミール作用素
Yasushi Homma
Presentation date: 2001.11
$4$次元多様体上の高スピンディラック作用素に対するボホナー恒等式
Yasushi Homma
Presentation date: 2001.10
高スピンディラック作用素とクリフォード準同型
Yasushi Homma
Presentation date: 2001.09
Conformally covariant differential operators and Clifford homomorphisms
Yasushi Homma
Presentation date: 2001.08
一階共形不変微分作用素とベクトル値球面調和多項式
Yasushi Homma
Presentation date: 2001.03
A generalization of Clifford algebras for conformal invariant differential operators
Yasushi Homma
Presentation date: 2001.03
一般ボホナー型ラプラシアンの固有値の下からの評価
Yasushi Homma
Presentation date: 2000.09
クリフォード代数とディラック作用素の一般化
Yasushi Homma
Presentation date: 2000.09
Higher Spin Dirac Operators and Spherical Harmonics
Yasushi Homma
Presentation date: 2000.08
The Higher Spin Dirac operators on 3-dimensional manifolds
Yasushi Homma
Presentation date: 2000.03
The higher spin Dirac operators on 3-dimensional manifold
Yasushi Homma
Presentation date: 1999.11
Spinor-Vauled and Clifford Algebra-Valued Harmonic Polynomials
Yasushi Homma
Presentation date: 1999.09
3次元球面上の固有スピノール空間におけるSpin(4)の表現
Yasushi Homma
Presentation date: 1999.09
Spinor-Vauled and Clifford Algebra-Valued Harmonic Polynomials
Yasushi Homma
Presentation date: 1999.09
Nonlinear Grassmann Sigma Model in Any Dimension and An infinite Number of Consurved Currents その2
Yasushi Homma
Presentation date: 1998.09
写像群上の2-cocycleについて
Yasushi Homma
Presentation date: 1996.09
2018 U. Semmelmann, D. Eelbode
2009
スピン幾何学の新しい展開
ドイツ シュツットガルト大学
Introduction to Set Theory [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Seminar in Applied Mathematics B [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Seminar in Applied Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Introduction to set theory [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Research Project Spring [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Advanced Topic in Modern Mathematical Sciences 1
School of Fundamental Science and Engineering
2022 fall quarter
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
日本学術振興会 特別研究員等審査会 専門委員
日本数学会 教育委員会
日本学術振興会 科研費委員会専門委員(第一段審査員)
日本数学会幾何学分科会 幾何学分科会拡大幹事