Welcome to my homepage! I am Zihao Huang (黄子豪).

I am a PhD student in Mathematics at Central South University, China, supervised by Prof. Yue Zhou. I work on algebraic combinatorics and special functions, with a particular focus on constant term identities and Macdonald polynomials.

Research Interests

• q-Selberg type integrals
• Constant term identities
• Macdonald polynomials

Education

PhD in Mathematics, Central South University, Changsha
2024 - Present
Supervisor: Prof. Yue Zhou · Expected graduation: June 2029

BSc in Mathematics and Applied Mathematics, Central South University, Changsha
2020 - 2024
Mentor: Prof. Yue Zhou

Publications

A generalization of the type C Macdonald constant term identity

with Wenlong Jiang, Yao Yu, Yue Zhou
Proceedings of the American Mathematical Society, 154 (2026), no. 4, 1453-1466.
[Journal version]

Preprints

An AFLT type generalization of the q-Baker-Forrester ex-conjecture

with Wenlong Jiang, Yue Zhou, 2026.
(submitted) [arXiv:2609.05836] [slide]

A generalization of Kadell’s orthogonality ex-conjecture

with Wenlong Jiang, Yue Zhou, 2026.
(submitted) [arXiv:2603.08041]

Talks

Partially symmetric Macdonald polynomials and AFLT type constant term identities
CSIAM 2026, Hebei Normal University, China · May 17, 2026 [slide]