Research interest:
Lie algebras, quantum groups and their representations.
xpliu127@ustc.edu.cn
Education:
2016–2021, Ph.D in Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China. Supervisor: Prof. Yun Gao, Prof. Hongjia Chen.
2015–2016, Master in Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China. Supervisor: Prof. Yun Gao, Prof. Hongjia Chen.
2011–2015, Bachelor in Mathematics, School of Mathematical Sciences, Yangzhou University, Yangzhou, China.
Experience:
2023-present, Postdoctoral Researcher in Mathematics, Southern University of Science and Technology, Shenzhen, China. Co-advisor: Prof. Vyacheslav Futorny
2021-2023, Postdoctoral Researcher, School of Mathematical Sciences, University of Science and Technology of China, Hefei, China. Co-advisor: Prof. Hongjia Chen
2017–2019, Joint Ph.D Program in USA, Department of Mathematics, Kansas State University, Kansas, United States. Advisor: Prof. Zongzhu Lin.
(Pre-)Publications:
X. Liu, On multiplicity-free weight modules over quantum affine algebras (submitted), arXiv:2302.13686.
(Joint with Z. Lin), Highest weight modules and stability conditions for Kac-Moody category O, preprint.
(Joint with H. Chen, Y. Gao, L. Wang), U^0-free quantum group representations, J. Algebra, (2023).
(Joint with H. Chen, H. Dai), A class of polynomial modules over current algebras, Commun. Math. Stat. (2022).
X. Liu, A note on parabolic Verma module homomorphisms over Kac-Moody algebras, J. Pure Appl. Algebra, Vol.226 (2022).