Myungjun Yu

collaborators

3 papers

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.NT2026

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_…

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)

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