Jun–Yong Park

collaborators

3 papers

math.AG2026

Height moduli of elliptic surfaces: Motivic height zeta rationality and Kudla-Millson modularity of Mordell-Weil rank jumps

Jun-Yong Park

Let $k$ be a perfect field with $char (k) \neq = 2, 3$ , set $K = k (t)$ , and let $W_{n}^{m i n}$ be the moduli stack of minimal elliptic curves over $K$ of Faltings height…

math.NT2026

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.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…

Height moduli of elliptic surfaces: Motivic height zeta rationality and Kudla-Millson modularity of Mordell-Weil rank jumps

Quantitative rank distribution conjecture over Fq​(t)

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

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

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