School of Mathematics and Physics

Dr Jieru Zhu

Lecturer in Mathematics
Mathematics
Building 69, Room 724
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Researcher biography

My research is in representation theory, Lie theory, categorification. I use combinatorics and low-dimensional topology to study representation categories and compute important graded multiplicities known as the Kazhdan-Lusztig polynomials.

Publications

Journal Articles (6)

Journal Articles

Sutton, Louise, Tubbenhauer, Daniel, Wedrich, Paul and Zhu, Jieru (2023). SL2 tilting modules in the mixed case. Selecta Mathematica, 29 (3) 39, 1-40. doi: 10.1007/s00029-023-00835-0
Benkart, Georgia, Biswal, Rekha, Kirkman, Ellen, Nguyen, Van C. and Zhu, Jieru (2022). Tensor representations for the Drinfeld double of the Taft algebra. Journal of Algebra, 606, 764-797. doi: 10.1016/j.jalgebra.2022.04.041
Li, Yiqiang and Zhu, Jieru (2022). Quasi-split symmetric pairs of U(glN) and their Schur algebras. Nagoya Mathematical Journal, 245, 1-27. doi: 10.1017/nmj.2020.16
Im, Mee Seong and Zhu, Jieru (2021). Transitioning between Tableaux and Spider Bases for Specht Modules. Algebras and Representation Theory, 25 (2), 387-399. doi: 10.1007/s10468-020-10026-6
Benkart, Georgia, Biswal, Rekha, Kirkman, Ellen, Nguyen, Van C. and Zhu, Jieru (2021). McKay matrices for finite-dimensional Hopf algebras. Canadian Journal of Mathematics, 74 (3), 686-731. doi: 10.4153/s0008414x21000067
Zhu, Jieru (2021). Two boundary centralizer algebras for q(n). Journal of Algebra, 567, 386-458. doi: 10.1016/j.jalgebra.2020.08.028

Areas of research

Pure mathematics