Hong Chen's Homepage
Hong Chen
陈泓
About
I'm currently a sixth year PhD candidate in the Department of Mathematics at Rutgers University. I'm on job market now.
My advisor is Prof. Siddhartha Sahi.
I am working on symmetric functions and algebraic combinatorics, 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 Sept 2025).
Publications and Pre-prints
[6] Characterization of Macdonald Hypergeometric Series \({}_r\Phi_s(x;q,t)\) and \({}_r\Phi_s(x,y;q,t)\) via \(q\)-Difference Equations (in preparation)
[5] Characterization of Macdonald's Jack Hypergeometric Series \({}_pF_q(x;\alpha)\) and \({}_pF_q(x,y;\alpha)\) via Differential Equations, with S. Sahi, submitted
[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],
Journal,
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)
Conferences and Talks
- 2025
July, Hokkaido University, Japan, FPSAC 2025, poster, extended abstract
May, College of Charleston, Southeastern Lie Theory Workshop XV, slides
April, Rutgers, Symmetric Functions & Probability Theory Seminar
March, USC, GSCC 2025, slides
- 2024
October, U Albany, AMS Sectional Meeting (2024 Fall Eastern), invited, Binomial Coefficients for Interpolation Polynomials, slides
October, George Washington University, MAACG, Poster Session, poster
July, Nankai University, invited, Binomial formula and interpolation polynomials, slides
May, HKUST, Algebra and Geometry Seminar @ HKUST, Symmetric polynomials and interpolation polynomials, slides
April, Rutgers, AMS Research Bonanza, Binomial formulas for symmetric polynomials, slides
April, Rutgers, Pizza Seminar 5-minute talk, Binomial formulas: from Newton to Okounkov
April, Rutgers, Lie Group/Quantum Mathematics Seminar, Symmetric polynomials and interpolation polynomials, slides
March, U Virginia, Randomness And Lie-Theoretic Structures, Binomial Coefficients and Littlewood--Richardson Coefficients for Interpolation Polynomials, slides
March, U Virginia, Quantum Structures In Lie Theory
Contacts
Address
Hong Chen
Department of Mathematics - Hill Center
Rutgers, The State University Of New Jersey
110 Frelinghuysen Rd.
Piscataway, NJ 08854-8019
Office
Room 636, Hill Center
Email:
hc813 AT math DOT rutgers DOT edu
Links:
Maintained by Hong Chen and last updated Sept 2025