Sun Woo Park

collaborators

5 papers

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.DS2026

Orbit decomposition statistics for discrete dynamical systems: the Cesàro mean and a large deviation principle

Gunther Cornelissen, Sun Woo Park

If a self-map $σ : X \to X$ has a dynamical zeta function with nonzero radius of convergence $1/Λ$ and the Cesàro mean $B$ of $ \# \mathrm{Fix}(σ^k)…

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

Orbit decomposition statistics for discrete dynamical systems: the Cesàro mean and a large deviation principle

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 $Q$