Tian Wang

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math.NT2026

Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case

Mohammad H. Hamdar, Tian Wang

We introduce a framework within which a large class of joint equidistribution problems can be studied and resolved with effective error terms. This involves proving a higher dimens…

math.NT2025

Isogenies of CM Elliptic Curves

Edgar Assing, Yingkun Li, Tian Wang +1

Given two CM elliptic curves over a number field and a natural number $m$ , we establish a polynomial lower bound (in terms of $m$ ) for the number of rational primes $p$ such that t…

math.NT2024

Quantitative upper bounds related to an isogeny criterion for elliptic curves

Alina Carmen Cojocaru, Auden Hinz, Tian Wang

For $E_{1}$ and $E_{2}$ elliptic curves defined over a number field $K$ , without complex multiplication, we consider the function $F_{E_{1}, E_{2}} (x)$ counting non-zero prime…