Qiyuan Chen

collaborators

9 papers

math.AC2026

Lower bounds on the strength of the determinant

Qiyuan Chen, Yuhao Zhao

We establish new lower bounds for the strength and partition rank of the determinant. For every prime $p$ , we prove the exact identity \[ \operatorname{str}(\mathrm{det}_p)=p. \] A…

math.RT2026

Spectral Intertwining Operators

Qiyuan Chen

We study spectral intertwining operators between spectral Eisenstein series $Eis_{P^{\lor}}$ , $Eis_{Q^{\lor}}$ for two parabolic subgroups $P, Q$ of a $p$ …

math.AG2026

Geometry of multilinear varieties over infinite fields and its applications

Qiyuan Chen, Ke Ye

Multilinear varieties, defined as the sets of rational points of varieties cut out by multilinear functions, were first introduced and studied by Gowers and MiliÄeviÄ[Proc. Edinb…

math.AC2026

A base change framework for tensor functions

Qiyuan Chen

The main contribution of this note is to establish a framework to extend results of tensor functions over specific field to general field. As a consequence of this framework, we ex…

math.CO2026

TurÃ¡n problems for multilinear maps

Qiyuan Chen, Zixiang Xu, Ke Ye

We study TurÃ¡n-type extremal problems for alternating and unrestricted multilinear maps. For alternating order- $d$ multilinear maps $T : (F^{n})^{d} \to F^{m}$ , we determ…

math.CO2025

Stability of ranks under field extensions

Qiyuan Chen, Ke Ye

This paper studies the stability of tensor ranks under field extensions. Our main contributions are fourfold: (1) We prove that the analytic rank is stable under field extensions.…