Jun–Yong Park

activity

20162026

most citedArithmetic of the moduli of semistable elliptic surfaces

6 citations · 13 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2026

Analytically dense Mordell-Weil rank jumps on elliptic surfaces via transverse realization

Jun-Yong Park

Let $W_{min, n}$ be the moduli stack of minimal Weierstrass fibrations of Faltings height $n$ over an unparameterized $P_{C}^{1}$ , and let $\mathc…

math.NT2025

Exact counts of elliptic curves of bounded height over $F_{q} (t)$ in characteristics $2$ and $3$

Jun-Yong Park

Let $p \in {2, 3}$ , let $q = p^{r}$ with $r \geq 1$ , and put $K = F_{q} (t)$ . We determine the exact weighted and unweighted counts of $K$ -isomorphism classes of elliptic curves of bou…

math.NT2024

Quantitative rank distribution conjecture over $F_{q} (t)$

Jun-Yong Park

We combine the exact counting of all elliptic curves over $K = F_{q} (t)$ with $char (K) > 3$ by Bejleri, Satriano and the author, together with the torsion-free natu…

math.NT2020

Motivic & Arithmetic probability of a semistable elliptic surface with a Weierstrass torsion section

Jun-Yong Park

We prove new sharp asymptotic for counting the semistable elliptic curves with two marked Weierstrass points at $\infty$ and $0$ and also the cases where $0$ is a 2-torsion or a 3-…

math.AG2020★ 2 cited

Enumerating odd-degree hyperelliptic curves and abelian surfaces over $P^{1}$

Changho Han, Jun-Yong Park

Given asymptotic counts in number theory, a question of Venkatesh asks what is the topological nature of lower order terms. We consider the arithmetic aspect of the inertia stack o…

math.AG2019★ 4 cited

Motive of the moduli stack of rational curves on a weighted projective stack

Jun-Yong Park, Hunter Spink

We show the compactly supported motive of the moduli stack of degree $n$ rational curves on the weighted projective stack $P (a, b)$ is of mixed Tate type over any base fie…

math.AG2018★ 1 cited

$ℓ$ -adic étale cohomology of the moduli of stable elliptic fibrations

Jun-Yong Park

We determine the $ℓ$ -adic étale cohomology and the eigenvalues of the geometric Frobenius for the moduli stack $\mathcal{L}_{1,12n} := \mathrm{Hom}_{n}(\mathbb{P}^1, \overline{\…

math.AG2016★ 6 cited

Arithmetic of the moduli of semistable elliptic surfaces

Changho Han, Jun-Yong Park

We prove a new sharp asymptotic with the lower order term of zeroth order on $Z_{F_{q} (t)} (B)$ for counting the semistable elliptic curves over $\mathbb{…

Analytically dense Mordell-Weil rank jumps on elliptic surfaces via transverse realization

Exact counts of elliptic curves of bounded height over Fq​(t) in characteristics 2 and 3

Quantitative rank distribution conjecture over Fq​(t)

Motivic & Arithmetic probability of a semistable elliptic surface with a Weierstrass torsion section

Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1

Motive of the moduli stack of rational curves on a weighted projective stack

ℓ-adic étale cohomology of the moduli of stable elliptic fibrations

Arithmetic of the moduli of semistable elliptic surfaces

Exact counts of elliptic curves of bounded height over $F_{q} (t)$ in characteristics $2$ and $3$

Quantitative rank distribution conjecture over $F_{q} (t)$

Enumerating odd-degree hyperelliptic curves and abelian surfaces over $P^{1}$

$ℓ$ -adic étale cohomology of the moduli of stable elliptic fibrations