Term of Employment: July.2023- Supervisor: Professor Chengming Bai Research Interests: Representation theory, bialgebra, Yang-Baxter equation Education: 1. Sept.2012—June.2016 Bachelor's Degree, School of Mathematical Sciences, Dalian University of Technology; 2. Sept.2016—June.2019 Master's Degree, School of Mathematics and Statistics，Northeast Normal University; 3. Sept.2019—June.2023 Ph. D. Degree, Chern Institute of Mathematics, Nankai University. Publications: [1] Guilai Liu and Chengming Bai, Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras, Journal of Algebra 609 (2022) 337-379. [2] Guilai Liu and Chengming Bai, A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras, Communications in Contemporary Mathematics (2023) DOI:10.1142/S0219199723500505. [3] Guilai Liu and Chengming Bai, Relative Poisson bialgebras and Frobenius Jacobi algebras, Journal of Noncommutative Geometry (2023) DOI:10.4171/JNCG/546. [4] Guilai Liu and Chengming Bai, New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures, In: Hounkonnou, M.N., Mitrović, M., Abbas, M., Khan, M. (eds) Algebra without Borders-Classical and Constructive Nonassociative Algebraic Structures. STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer, Cham., 2023, 49–96. [5] Chuangchuang Kang, Guilai Liu, Zhuo Wang and Shizhuo Yu, Manin triples and bialgebras of left-Alia algebras associated with invariant theory, Mathematics 12 (2024) 408. [6] Dongfang Gao, Guilai Liu and Chengming Bai, Anti-dendriform algebras, new splitting of operations and Novikov-type algebras, Journal of Algebraic Combinatorics (2024) DOI:10.1007/s10801-024-01303-4. [7] Chengming Bai, Li Guo, Guilai Liu and Tianshui Ma, Rota-Baxter Lie bialgebras, classical Yang Baxter equations and special L-dendriform bialgebras, Algebras and Representation Theory (2024) DOI:10.1007/s10468-024-10261-1. |
