Hansol Kim

activity

20202026

collaborators

7 papers

math.NT2026

Uniform bounds on prime levels of abelian division fields of elliptic curves over number fields without rationally defined CM

Hansol Kim

Enrique González-Jiménez and Álvaro Lozano-Robledo proved that there exists a uniform bound on the levels $n$ for which the $n$ -division field $\mathbb{Q}\left(E\left[n\right]\righ…

math.NT2025

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree

Bo-Hae Im, Hansol Kim

Let $K$ be a field of characteristic $0$ and $E / K$ an elliptic curve over $K$ . For a finite extension $L / K$ and a prime~ $ℓ$ , we provide Galois-theoretic sufficient conditions on…

math.NT2025

The automorphism group of torsion points of an elliptic curve over a field of characteristic $\geq 5$

Bo-Hae Im, Hansol Kim

For a field $K$ of characteristic $p \geq 5$ containing $F_{p}^{alg}$ and the elliptic curve $E_{s, t} : y^{2} = x^{3} + s x + t$ defined over the functi…

math.NT2024

The automorphism group of the $p^{n}$ -torsion points of an elliptic curve over a field of characteristic $p \geq 5$

Bo-Hae Im, Hansol Kim

For a field $K$ of characteristic $p \geq 5$ and the elliptic curve $E_{s, t} : y^{2} = x^{3} + s x + t$ defined over the function field $K (s, t)$ of two variables $s$ and $t$ ,…

math.NT2023

Growth of Torsion Groups of Elliptic Curves Over Number Fields without Rationally Defined CM

Bo-Hae Im, Hansol Kim

For a quadratic field $K$ without rationally defined CM, we prove that there exists of a prime $p_{K}$ depending only on $K$ such that if $d$ is a pos…

math.NT2022

Density of Elliptic Curves over Number Fields with Prescribed Torsion Subgroups

Bo-Hae Im, Hansol Kim

Let $K$ be a number field. For positive integers $m$ and $n$ such that $m ∣ n$ , we let $S_{m, n}$ be the set of elliptic curves $E / K$ defined over $K$ such that $E(K)_{\…

math.NT2020

A classification of the automorphism groups of polarized abelian threefolds over finite fields

WonTae Hwang, Bo-Hae Im, Hansol Kim

We give a classification of maximal elements of the set of finite groups that can be realized as the automorphism groups of polarized abelian threefolds over finite fields.

Uniform bounds on prime levels of abelian division fields of elliptic curves over number fields without rationally defined CM

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree

The automorphism group of torsion points of an elliptic curve over a field of characteristic ≥5

The automorphism group of the pn-torsion points of an elliptic curve over a field of characteristic p≥5

Growth of Torsion Groups of Elliptic Curves Over Number Fields without Rationally Defined CM

Density of Elliptic Curves over Number Fields with Prescribed Torsion Subgroups

A classification of the automorphism groups of polarized abelian threefolds over finite fields

The automorphism group of torsion points of an elliptic curve over a field of characteristic $\geq 5$

The automorphism group of the $p^{n}$ -torsion points of an elliptic curve over a field of characteristic $p \geq 5$