Jiahe Shen

collaborators

4 papers

math.CO2026

Groups with pairings, Hall modules, and Hall-Littlewood polynomials

Jiahe Shen, Roger Van Peski

We relate the combinatorics of Hall-Littlewood polynomials to that of abelian $p$ -groups with alternating or Hermitian perfect pairings. Our main result is an analogue of the class…

math.NT2026

Eigenvalues of $p$ -adic random matrices

Jiahe Shen, Roger Van Peski

We develop the basic theory of eigenvalues of $p$ -adic random matrices, analogous to the classical theory for random matrices over $R$ and $C$ . Such eigenvalue st…

math.FA2025

High-low method and $p$ -adic Furstenberg set over the plane

Kevin Ren, Jiahe Shen

We establish a $p$ -adic analogue of a recent significant result of Ren-Wang (arXiv:2308.08819) on Furstenberg sets in the Euclidean plane. Building on the $p$ -adic version of the h…

math.PR2025

Non-Archimedean GUE corners and Hecke modules

Jiahe Shen, Roger Van Peski

We compute the joint distribution of singular numbers for all principal corners of a $p$ -adic Hermitian (resp. alternating) matrix with additive Haar distribution, the non-archimed…

Groups with pairings, Hall modules, and Hall-Littlewood polynomials

Eigenvalues of p-adic random matrices

High-low method and p-adic Furstenberg set over the plane

Non-Archimedean GUE corners and Hecke modules

Eigenvalues of $p$ -adic random matrices

High-low method and $p$ -adic Furstenberg set over the plane