Bo-Hae Im

collaborators

5 papers

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

Elliptic curves and finitely generated Galois groups

Bo-Hae Im, Michael Larsen

Let $K$ be an extension of $Q$ and $A / K$ an elliptic curve. If $Gal (K ˉ / K)$ is finitely generated, then $A$ is of infinite rank over $K$ . In particular, this i…

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.NT2025

Larsen's conjecture for elliptic curves over $Q$ with analytic rank at most $1$

Seokhyun Choi, Bo-Hae Im

We prove Larsen's conjecture for elliptic curves over $Q$ with analytic rank at most $1$ . Specifically, let $E / Q$ be an elliptic curve over $Q$ . If $E/\m…

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 $t$ ,…

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

Elliptic curves and finitely generated Galois groups

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

Larsen's conjecture for elliptic curves over Q with analytic rank at most 1

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

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

Larsen's conjecture for elliptic curves over $Q$ with analytic rank at most $1$

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