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

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13 papers · 1 filter

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.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.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.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.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

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

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

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

Large Shafarevich-Tate groups over quadratic number fields

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

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