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

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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.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.NT2018★ 4 cited

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

Gilyoung Cheong, Yifeng Huang

Let $(R, m)$ be a complete discrete valuation ring with the finite residue field $R / m = F_{q}$ . Given a monic polynomial $P (t) \in R [t]$ whose reduct…

math.NT2016

Weighted distribution of points on cyclic covers of the projective line over finite fields

GilYoung Cheong

Given a finite field $F_{q}$ , we study the distribution of the number of $F_{q}$ -points on (possibly singular) affine curves given by the polynomial equations of…

math.NT2012★ 3 cited

The distribution of points on superelliptic curves over finite fields

GilYoung Cheong, Melanie Matchett Wood, Azeem Zaman

We give the distribution of points on smooth superelliptic curves over a fixed finite field, as their degree goes to infinity. We also give the distribution of points on smooth m-f…