Author

Jiaqi Liao

h-index 5 View on Semantic Scholar

We have 2 of 12 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

EKR Results for Cuspidal Representations of $\mathrm{GL}_2(q)$

Let $\mathcal{S}_\chi$ be a cuspidal representation of $\mathrm{GL}_2(q)$. A subset $S \subseteq \mathrm{GL}_2(q)$ is \emph{$t$-intersecting} if $\dim_{\mathbb{C}}\{v \in \mathcal{S}_\chi: g_1v = g_2v\} \geqslant t$ for any $g_1, g_2 \in S$. In this paper, we determine $\max{|S|}$ where $S$ is $t$-intersecting.

Jia-Qi Liao · 0 citations

Preprint Aug 2026

Erd\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice

Let $M_n=M(K_{n+1})$ be the graphic matroid of the complete graph, and let $\mathcal{F}_k(M_n)$ be its rank-$k$ flats. We study families $\mathcal{A}\subseteq\mathcal{F}_k(M_n)$ satisfying $\mathrm{rk}(A\wedge B)\ge t$ for all $A,B\in\mathcal{A}$. For $t=1$, this problem is exactly equivalent to Czabarka's partition-EK...

Meng-Yue Cao, Jiaqi Liao, Hai-Xiang Zhang · 0 citations