Haoyang Yuan

collaborators

3 papers

math.NT2026

A Lang-Trotter Problem for Non-Geometric Quadratic Inductions

Haoyang Yuan

Let $K / Q$ be an imaginary quadratic extension and $p$ an odd prime. Write $ρ = Ind_{G_{K}}^{G_{Q}} χ$ , where $E / Q_{p}$ is a finite extension and $χ:…

math.NT2026

Torsion growth of rational elliptic curves over $Z_{p}$ -extensions of quadratic fields

Shisong Xu, Haoyang Yuan

Let $E/\Q$ be an elliptic curve and let $K_{p}$ be the compositum of all $Z_{p}$ -extensions of a quadratic field $K$ . We prove that $E(\widetilde K_p)_{\tors}=E(K)_{\tors}$…

math.NT2024

Geometric Height on Flag Varieties in Positive Characteristic

Yue Chen, Haoyang Yuan

Let $k$ be an algebraically closed field of characteristic $p \neq = 0$ . Let $G$ be a connected reductive group over $k$ , $P \subseteq G$ be a parabolic subgroup and $λ: P \longrighta…

A Lang-Trotter Problem for Non-Geometric Quadratic Inductions

Torsion growth of rational elliptic curves over Zp​-extensions of quadratic fields

Geometric Height on Flag Varieties in Positive Characteristic

Torsion growth of rational elliptic curves over $Z_{p}$ -extensions of quadratic fields