A. Cojocaru

activity

20072025

most citedAverage twin prime conjecture for elliptic curves

5 citations · 9 across the 11 of their papers we have counts for

collaborators

15 papers

math.NT2025

Effective surjectivity of Galois representations of products of elliptic curves over function fields

Alina Cojocaru, Frederick Saia

We prove an effective surjectivity result for Galois representations of products of non-isotrivial, non-isogenous elliptic curves over certain function fields of characteristic $0$ …

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…

math.NT2022

Non-CM elliptic curves with infinitely many almost prime Frobenius traces

Alina Carmen Cojocaru, McKinley Meyer

Let $E$ be an elliptic curve defined over $Q$ and without complex multiplication. For a prime $p$ of good reduction for $E$ , we write $\#E_p(\mathbb{F}_p) = p + 1 - a_p(E)…

math.NT2022

Bounds for the distribution of the Frobenius traces associated to a generic abelian variety

Alina Carmen Cojocaru, Tian Wang

Let $A$ be an abelian variety defined over $Q$ and of dimension $g$ . Assume that, for each sufficiently large prime $ℓ$ , $A$ has a surjective residual modulo $ℓ$ Gal…

math.NT2022★ 4 cited

Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves

Alina Carmen Cojocaru, Tian Wang

Let $g \geq 1$ be an integer and let $A / Q$ be an abelian variety that is isogenous over $Q$ to %the product $E_{1} \times \dots \times E_{g}$ of elliptic curves $E_1…

math.NT2021

Geometric generalizations of the square sieve, with an application to cyclic covers

Alina Bucur, Alina Carmen Cojocaru, Matilde N. Lalín +1

We formulate a general problem: given projective schemes $Y$ and $X$ over a global field $K$ and a $K$ -morphism $η$ from $Y$ to $X$ of finite de…