Publications

• R. Abedin, W. Niu, Yangian for cotangent Lie algebras and spectral R-matrices, preprint (2024), arXiv:2405.19906.
• R. Abedin, S. Maximov, A. Stolin, Generalized classical Yang-Baxter equation and regular decompositions, preprint (2024), arXiv:2405.04440.
• R. Abedin, The r-matrix structure of Hitchin systems via loop group uniformization, preprint (2024), arXiv:2401.01327.
• R. Abedin, Classification of D-bialgebra structures on power series algebras, J. Algebra, 635 (2023), 137--202.
• R. Abedin, S. Maximov, A. Stolin, Topological Manin pairs and (n,s)-type series, Lett. Math. Phys. 113, 57 (2023).
• R. Abedin, S. Maximov, A. Stolin, E. Zelmanov, Topological Lie bialgebra structures and their classification over 𝖌[[x]], preprint (2022), accepted for publication in Comm. Math. Phys., arXiv:2203.01105.
• R. Abedin, Algebraic geometry of the classical Yang-Baxter equation and its generalizations, Ph.d. thesis (2022), Link.
• R. Abedin, Geometrization of solutions of the generalized classical Yang-Baxter equation and a new proof of the Belavin-Drinfeld trichotomy, preprint (2021), arXiv:2107.10722.
• R. Abedin, I. Burban, Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation, Comm. Math. Phys. 387 (2021), 1051--1109.
• R. Abedin, S. Maximov, Classification of classical twists of the standard Lie bialgebra structure on a loop algebra , J. Geom. Phys. 164 (2021), 104149.