Hong Chen's Homepage

Hong Chen

陈泓

About

Welcome!

I'm a sixth year PhD candidate in the Department of Mathematics at Rutgers University, expected to graduate in May 2026. I'm on job market for postdoc now.
My advisor is Prof. Siddhartha Sahi. I am working on symmetric functions, in particular, (interpolation) Jack and Macdonald polynomials, Schur positivity and other symmetric function inequalities, hypergeometric functions, and Selberg integral.

I graduated from Beijing Normal University in June 2020 with honors.

Click here for my CV (last updated Oct 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)