荒川知幸

アラカワトモユキ | Arakawa Tomoyuki

所属機関・部署：
職名：教授

研究分野 (1件)：代数学

研究キーワード (4件)：数理物理学 , 表現論 , Mathematical Physics , Representation Theory

競争的資金等の研究課題 (19件)：

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論文 (53件)：

Tomoyuki Arakawa, Lewis Topley, Juan J. Villarreal. The centre of the modular affine vertex algebra. Advances in Mathematics. 2025. 461. 110052-110052
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau. Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras. Forum of Mathematics, Sigma. 2024. 12
Tomoyuki Arakawa, Jethro van Ekeren. Rationality and fusion rules of exceptional $\mathcal {W}$-algebras. Journal of the European Mathematical Society. 2023. 25. 7. 2763-2813
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau. On the nilpotent orbits arising from admissible affine vertex algebras. Proceedings of the London Mathematical Society. 2022. 125. 3. 681-699
Tomoyuki Arakawa, Thomas Creutzig, Boris Feigin. Urod algebras and Translation of W-algebras. Forum of Mathematics, Sigma. 2022. 10

MISC (8件)：

荒川知幸. TWO-SIDED BGG RESOLUTIONS AND APPLICATIONS (組合せ論的表現論とその周辺 : RIMS研究集会報告集). 数理解析研究所講究録. 2013. 1870. 77-83
Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada. Singular vectors and Zhu's Poisson algebra of parafermion vertex operator algebras. Springer Proceedings in Mathematics and Statistics. 2013. 36. 391-398
T. Arakawa, F. Malikov. A Vertex Algebra Attached to the Flag Manifold and Lie Algebra Cohomology. LIE THEORY AND ITS APPLICATIONS IN PHYSICS. 2010. 1243. 151-+
荒川知幸. Varieties associated with Kac-Moody vertex algebras and $W$-algberas [algebras] (Finite Groups, Vertex Operator Algebras and Combinatorics). 数理解析研究所講究録. 2009. 1656. 13-19
荒川知幸. INFINITE DIMENSIONAL LIE ALGEBRAS, VERTEX ALGEBRAS AND W-ALGEBRAS(Developments of Cartan Geometry and Related Mathematical Problems). 数理解析研究所講究録. 2006. 1502. 96-106

講演・口頭発表等 (187件)：

Symplectic singularities and vertex algebras
(Mathematical Physics and Lie Theory Seminar 2024)
Symplectic singularities and vertex algebras (minicourse)
(Quantum Groups and Representation Theory 2024)
Generalized Grothendieck’s simultaneous resolution and associated varieties of simple affine vertex algebra
(Vertex algebras and related topics 2024)
Symplectic singularities and vertex algebras
(代数学研讨会 2024)
Symplectic singularities and vertex algebras
(GAUS-Seminar 2024)

経歴 (10件)：

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受賞 (6件)：

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所属学会 (4件)：

アメリカ数学会 , 日本数学会 , American Mathematical Society , Mathematical Society of Japan

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荒川 知幸