Gilyoung Cheong

activity

20122023

most citedCohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields

4 citations · 9 across the 9 of their papers we have counts for

collaborators

10 papers

math.NT2023

The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue

Gilyoung Cheong, Yifeng Huang

We prove new statistical results about the distribution of the cokernel of a random integral matrix with a concentrated residue. Given a prime $p$ and a positive integer $n$ , consi…

math.NT2023★ 2 cited

The distribution of the cokernel of a polynomial evaluated at a random integral matrix

Gilyoung Cheong, Myungjun Yu

Given a prime $p$ , let $P (t)$ be a non-constant monic polynomial in $t$ over the ring $Z_{p}$ of $p$ -adic integers. Let $X_{n}$ be an $n \times n$ random matrix over $\mat…

math.CO2022

Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix

Gilyoung Cheong, Yunqi Liang, Michael Strand

Given a prime $p$ and a positive integer $k$ , let $M_{n} (Z / p^{k} Z)$ be the ring of $n \times n$ matrices over $Z / p^{k} Z$ . We consider t…

math.NT2022

Generalizations of results of Friedman and Washington on cokernels of random $p$ -adic matrices

Gilyoung Cheong, Nathan Kaplan

Let $p$ be prime and $X$ be a Haar-random $n \times n$ matrix over $Z_{p}$ , the ring of $p$ -adic integers. Let $P_{1} (t), \dots, P_{l} (t) \in Z_{p} [t]$ be monic p…

math.AG2020

Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions