Sun Woo Park

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2026

Unexpected primes of good reduction in quotients of modular and Shimura curves

Oana Padurariu, Sun Woo Park, John Voight

We find all zero-dimensional spaces of newforms of weight $2$ and squarefree level $N$ with a fixed Atkin--Lehner sign pattern. As an application, we classify unexpected primes of…

math.NT2026

Secondary terms for first moments of Selmer groups of twists of elliptic curves over global function fields

Sun Woo Park

Let $E$ be a non-isotrivial elliptic curve over a global function field $F_{q} (t)$ of characteristic coprime to $2$ and $3$ . Under some explicit conditions, we determine the…

math.NT2025

Mordell--Lang and disparate Selmer ranks of odd twists of some superelliptic curves over global function fields

Sun Woo Park

Fix a prime number $ℓ \geq 5$ . Let $K = F_{q} (t)$ be a global function field of characteristic $p$ coprime to $2, 3$ , and $q \equiv 1 mod ℓ$ . Let $C:y^\ell = F…

math.NT2025

Counting 5-isogenies of elliptic curves over $Q$

Santiago Arango-Piñeros, Changho Han, Oana Padurariu +1

We show that the number of $5$ -isogenies of elliptic curves defined over $Q$ with naive height bounded by $H > 0$ is asymptotic to $C_{5} \cdot H^{1/6} (lo g H)^{2}$ for some e…

Unexpected primes of good reduction in quotients of modular and Shimura curves

Secondary terms for first moments of Selmer groups of twists of elliptic curves over global function fields

Mordell--Lang and disparate Selmer ranks of odd twists of some superelliptic curves over global function fields

Counting 5-isogenies of elliptic curves over Q

Counting 5-isogenies of elliptic curves over $Q$