Seokhyun Choi

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20242026

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math.NT2026

Additive Rigidity for Images of Rational Points on Abelian Varieties II: The General Case

Seokhyun Choi

We study the interaction between the group law on an abelian variety and the additive structure induced on its image under a morphism to a projective space. Let $A / F$ be an abelian…

math.NT2026

Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields

Seokhyun Choi, Bo-Hae Im, Beomho Kim

Let $E / k$ be a non-isotrivial elliptic curve over a global function field $k$ of characteristic $p > 3$ , and $G \subset Gal (k^{sep} / k)$ be a topologically finitely g…

math.NT2025

Additive Rigidity for $x$ -Coordinates of Rational Points on Elliptic Curves

Seokhyun Choi

We study the interaction between the group law on an elliptic curve and the additive structure of $x$ -coordinates of rational points on an elliptic curve. Let $E / Q$ be an…

math.NT2025

Number of integral points on quadratic twists of elliptic curves

Seokhyun Choi

We study integral points on the quadratic twists $E_{D} : y^{2} = x^{3} + D^{2} A x + D^{3} B$ of a fixed elliptic curve $E : y^{2} = x^{3} + A x + B$ over $Q$ . For sufficiently large squarefree…

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

Moment of derivatives of L-functions for two distinct newforms

Seokhyun Choi, Beomho Kim, Hansol Kim +2

We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$ -functions $L (s, f \otimes χ_{8 d}) L (s, g \otimes χ_{8 d})$ over quadratic…

math.NT2024

Rank growth of abelian varieties over certain finite Galois extensions

Seokhyun Choi, Bo-Hae Im

Let $A / K$ be an abelian variety over a number field $K$ . We prove that a finite automorphism group $G \subseteq Aut_{K} (X)$ of a smooth projective variety $X / K$ such that $X…

Additive Rigidity for Images of Rational Points on Abelian Varieties II: The General Case

Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields

Additive Rigidity for x-Coordinates of Rational Points on Elliptic Curves

Number of integral points on quadratic twists of elliptic curves

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

Moment of derivatives of L-functions for two distinct newforms

Rank growth of abelian varieties over certain finite Galois extensions

Additive Rigidity for $x$ -Coordinates of Rational Points on Elliptic Curves

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