Myungjun Yu

activity

20152026

most citedSlopes for higher rank Artin-Schreier-Witt Towers

17 citations · 28 across the 18 of their papers we have counts for

collaborators

18 papers

math.NT2026

Cokernels of random $p$ -adic orthogonal matrices and their linearizations

Jungin Lee, Myungjun Yu

We study the linearization of the random $p$ -adic orthogonal matrix model. Let $A_{n}$ and $B_{n}$ be Haar-random $n \times n$ special orthogonal and alternating matrices over $\mathbb{…

math.NT2026

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$ -adic matrices with prescribed zero patterns

Hyungmin Jang, Nathan Kaplan, Jungin Lee +1

We study the distribution of cokernels of Haar-random matrices over the $p$ -adic integers with prescribed zero patterns, motivated by the Cohen--Lenstra heuristics. A central featu…

math.CO2026

Sharp threshold for universality of cokernels of classical random matrix models over the $p$ -adic integers

Jiwan Jung, Jungin Lee, Myungjun Yu

We prove that $\frac{l o g n}{n}$ is the sharp threshold for universality of the distribution of cokernels of random matrices over $Z_{p}$ . More precisely, let $α_n = \frac{c…

math.NT2025

The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem

Takao Yamazaki, Yifan Yang, Hwajong Yoo +1

We define and study a biadditive symmetric (not necessarily perfect) pairing on the torsion part $Pic (X)_{tors}$ of the Picard group of a smooth projective curve…

math.PR2025

Distribution of the cokernels of determinantal row-sparse matrices

Jungin Lee, Myungjun Yu

We study the distribution of the cokernels of random row-sparse integral matrices $A_{n}$ according to the determinantal measure from a structured matrix $B_{n}$ with a parameter $k_n…

math.NT2025

The rational cuspidal subgroup of J_0(N)

Hwajong Yoo, Myungjun Yu

For a positive integer $N$ , let $J_{0} (N)$ be the Jacobian of the modular curve $X_{0} (N)$ . In this paper we completely determine the structure of the rational cuspidal subgroup of $J_…

math.NT2024★ 1 cited

Random $p$ -adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Dong Yeap Kang, Jungin Lee, Myungjun Yu

In this paper, we study the distribution of the cokernels of random $p$ -adic matrices with fixed zero entries. Let $X_{n}$ be a random $n \times n$ matrix over $Z_{p}$ in whic…

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.NT2021

The rational cuspidal subgroup of $J_{0} (p^{2} M)$ with $M$ squarefree

Jia-Wei Guo, Yifan Yang, Hwajong Yoo +1

For a positive integer $N$ , let $C_{N} (Q)$ be the rational cuspidal subgroup of $J_{0} (N)$ and $C (N)$ be the rational cuspidal divisor class group of $X_0(…

math.CO2020

Jordan--Landau theorem for matrices over finite fields

Gilyoung Cheong, Jungin Lee, Hayan Nam +1

Given a positive integer $r$ and a prime power $q$ , we estimate the probability that the characteristic polynomial $f_{A} (t)$ of a random matrix $A$ in $\mathrm{GL}_{n}(\mathbb{F}_…

math.NT2020

Bounds for 2-Selmer ranks in terms of seminarrow class groups

Hwajong Yoo, Myungjun Yu

Let $E$ be an elliptic curve over a number field $K$ defined by a monic irreducible cubic polynomial $F (x)$ . When $E$ is \textit{nice} at all finite primes of $K$ , we bound its $2$ …

math.NT2018

Large Shafarevich-Tate groups over quadratic number fields

Myungjun Yu

Let $E$ be an elliptic curve over the rational field $Q$ . Let $K$ be a quadratic extension over $Q$ . Let $ST (E / K)$ dente the Shafarevich-Tate group of $E…

math.CO2017

Johnson's bijections and their application to counting simultaneous core partitions

Jineon Baek, Hayan Nam, Myungjun Yu

Johnson recently proved Armstrong's conjecture which states that the average size of an $(a, b)$ -core partition is $(a + b + 1) (a - 1) (b - 1) /24$ . He used various coordinate changes and one…

math.CO2017★ 5 cited

A bijective proof of Amdeberhan's conjecture on the number of $(s, s + 2)$ -core partitions with distinct parts

Jineon Baek, Hayan Nam, Myungjun Yu

Amdeberhan conjectured that the number of $(s, s + 2)$ -core partitions with distinct parts for an odd integer $s$ is $2^{s - 1}$ . This conjecture was first proved by Yan, Qin, Jin and Z…

math.NT2016★ 1 cited

2-Selmer near-companion curves

Myungjun Yu

Let $E$ and $A$ be elliptic curves over a number field $K$ . Let $χ$ be a quadratic character of $K$ . We prove the conjecture posed by Mazur and Rubin on $n$ -Selmer near-companion c…

math.NT2016★ 17 cited

Slopes for higher rank Artin-Schreier-Witt Towers

Rufei Ren, Daqing Wan, Liang Xiao +1

We fix a monic polynomial $f ˉ (x) \in F_{q} [x]$ over a finite field of characteristic $p$ , and consider the $Z_{p^{ℓ}}$ -Artin-Schreier-Witt tower defined by $…

math.NT2015★ 2 cited

Selmer Ranks of twists of hyperelliptic curves and superelliptic curves

Myungjun Yu

We study the variation of Selmer ranks of Jacobians of twists of hyperelliptic curves and superelliptic curves. We find sufficient conditions for such curves to have infinitely man…

math.NT2015

On 2-Selmer ranks of quadratic twists of elliptic curves

Myungjun Yu

We study the $2$ -Selmer ranks of elliptic curves. We prove that for an arbitrary elliptic curve $E$ over an arbitrary number field $K$ , if the set $A_{E}$ of 2-Selmer ranks of quadra…

Cokernels of random p-adic orthogonal matrices and their linearizations

A mod p determinant criterion for Cohen--Lenstra convergence of random p-adic matrices with prescribed zero patterns

Sharp threshold for universality of cokernels of classical random matrix models over the p-adic integers

The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem

Distribution of the cokernels of determinantal row-sparse matrices

The rational cuspidal subgroup of J_0(N)

Random p-adic matrices with fixed zero entries and the Cohen--Lenstra distribution

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

The rational cuspidal subgroup of J0​(p2M) with M squarefree

Jordan--Landau theorem for matrices over finite fields

Bounds for 2-Selmer ranks in terms of seminarrow class groups

Large Shafarevich-Tate groups over quadratic number fields

Johnson's bijections and their application to counting simultaneous core partitions

A bijective proof of Amdeberhan's conjecture on the number of (s,s+2)-core partitions with distinct parts

2-Selmer near-companion curves

Slopes for higher rank Artin-Schreier-Witt Towers

Selmer Ranks of twists of hyperelliptic curves and superelliptic curves

On 2-Selmer ranks of quadratic twists of elliptic curves

Cokernels of random $p$ -adic orthogonal matrices and their linearizations

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$ -adic matrices with prescribed zero patterns

Sharp threshold for universality of cokernels of classical random matrix models over the $p$ -adic integers

Random $p$ -adic matrices with fixed zero entries and the Cohen--Lenstra distribution

The rational cuspidal subgroup of $J_{0} (p^{2} M)$ with $M$ squarefree

A bijective proof of Amdeberhan's conjecture on the number of $(s, s + 2)$ -core partitions with distinct parts