Sun Woo Park

works on

atkin-lehner involution 1 good reduction 1 modular curves 1 modular forms 1 prime classification 1 shimura curves 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

math.NT2026

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

Oana Padurariu, Sun Woo Park, John Voight

The paper determines all zero‑dimensional spaces of weight‑2 newforms with squarefree level and a prescribed Atkin–Lehner sign pattern, and uses this to classify the primes at whic…

math.DS2026

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

Gunther Cornelissen, Sun Woo Park

If a self-map $I ¨ : X \to X$ has a dynamical zeta function with nonzero radius of convergence $1/ I^$ and the CesÃ ro mean $B$ of $ \# \mathrm{Fix}(Ï…

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.NT2026

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-PiÃ±eros, 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 CesÃ ro 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 $Q$