Hong Chen's Homepage

Hong Chen

陈泓

About

Welcome!

I defended my Ph.D. dissertation in the Department of Mathematics at Rutgers University in March 2026. The slides can be found here.

My advisor is Professor Siddhartha Sahi. My research focuses on symmetric functions, particularly interpolation Jack and Macdonald polynomials, Schur positivity, symmetric function inequalities, hypergeometric functions, and Selberg integrals.

I received my B.Sc. with honors from Beijing Normal University in June 2020.

You can find my CV here (last updated October 2025).

Publications and Pre-prints

[6] A Characterization of Macdonald Hypergeometric Series \({}_r\Phi_s(x;q,t)\) and \({}_r\Phi_s(x,y;q,t)\) via \(q\)-Difference Equations, arXiv
[5] A Characterization of Macdonald's Jack Hypergeometric Series \({}_pF_q(x;\alpha)\) and \({}_pF_q(x,y;\alpha)\) via Differential Equations, with S. Sahi, arXiv
[4] Majorization via Positivity of Jack and Macdonald Polynomial Differences, with A. Khare and S. Sahi, arXiv
[3] Monotonicity for Generalized Binomial Coefficients and Jack Positivity, with S. Sahi, Séminaire Lotharingien de Combinatoire - FPSAC 2025 [93B.139], Proceeding, arXiv
[2] Interpolation Polynomials, Binomial Coefficients, and Symmetric Function Inequalities, with S. Sahi, arXiv
[1] On a Conjecture of Bahri--Xu, with J.Q. Ge, K. Jia, and Z.Q. Lu, Acta Mathematica Sinica, English Series, 37(11), Journal, arXiv (undergraduate research project, advised by Jianquan Ge)