About me

I am currently a Postdoctoral Researcher at the Beijing International Center for Mathematical Research, Peking University, where I work in collaboration with Prof. Xiaobo Liu.

I obtained my Ph.D. degree in Mathematics from the School of Mathematics at South China University of Technology in June 2024, where I was advised by Prof. Naihuan Jing. During my PhD studies, I conducted research as a visiting scholar at the Fakultät für Mathematik of the Universität Wien, under the joint supervision of Prof. Christian Krattenthaler

Prior to my graduate studies, I completed my Bachelor’s degree in Mathematics at the School of Mathematics and Statistics, Northeast Normal University, graduating in June 2018.

Research Interests

My research interests lie in Algebraic Combinatorics and Representation Theory. In addition, I am also interested in Vertex Operators of Symmetric Functions.

Publications

  1. A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials, J. Combin. Theory Ser. A. 207 (2024), Paper No. 105920. (with N. Jing) arXiv:2310.15730
  2. A spin analog of the plethystic Murnaghan-Nakayama rule. Ann. Comb. 28 (2024), no. 2, 655–679. (with Y. Cao and N. Jing) arXiv:2312.13675
  3. Murnaghan-Nakayama rule and spin bitrace for the Hecke-Clifford algebra. Int. Math. Res. Not. IMRN (2023), no. 19, 17060–17099. (with N. Jing) arXiv:2303.14459
  4. Spin Kostka polynomials and vertex operators. Pacific J. Math. 325 (2023), no. 1, 127–146. (with N. Jing) arXiv:2303.10664
  5. Q-Kostka polynomials and spin Green polynomials. Monatsh. Math. 201 (2023), no. 1, 109–125. (with A. Jiang and N. Jing) arXiv:2304.07439
  6. On irreducible characters of the Iwahori-Hecke algebra in type A. J. Algebra 598 (2022), 24–47. (with N. Jing) arXiv:2104.06067
  7. The Green polynomials via vertex operators. J. Pure Appl. Algebra 226 (2022), 107032. (with N. Jing) arXiv:2104.04411 Corrigendum

Preprints

  1. On a Pieri–like rule for the Petrie symmetric functions. (with E. Y. Jin and N. Jing) arXiv:2406.00581
  2. Irreducible characters and bitrace for the q-rook monoid. (with N. Jing and Y. Wu) arXiv:2312.13681
  3. Plethystic Murnaghan-Nakayama rule via vertex operators. (with Y. Cao and N. Jing) arXiv:2212.08412
  4. Dual Murnaghan-Nakayama rule for Hecke algebras in type A. (with N. Jing and Y. Wu) arXiv:2503.12299
  5. Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications. (with N. Jing) arXiv:2504.18825