Hansol Kim

activity

20242026

collaborators

5 papers

quant-ph2026

SPLIT-Q: A Scalable Sequential Quantum Computing Framework for Coherent Controlled Islanding

Yuqi Jiang, Zhiding Liang, Qiang Guan +2

Growing integration of distributed energy resources increases power-system variability and uncertainty. During disturbances, these effects can intensify generation-load imbalances…

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.NT2025

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.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 $t$ ,…

SPLIT-Q: A Scalable Sequential Quantum Computing Framework for Coherent Controlled Islanding

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

Density of Elliptic Curves over Number Fields with Prescribed Torsion Subgroups

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 $\geq 5$

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