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

Showing 2020Show all

3 papers · 1 filter

math.NT2020

The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal

Alina Carmen Cojocaru, Matthew Fitzpatrick

Let $E / Q$ be a non-CM elliptic curve. Assuming GRH, we prove that, for a set of primes $p$ of density $1$ , the absolute discriminant of the $F_{p}$ -endomorphism rin…

math.NT2020

The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module

Alina Carmen Cojocaru, Mihran Papikian

Let $ψ : A \to F {τ}$ be a Drinfeld $A$ -module over $F$ of rank 2 and without complex multiplication, where $A = F_{q} [T]$ , $F = F_{q} (T)$ , and $q$ is an odd prim…

math.NT2020

Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring

Alina Carmen Cojocaru, Nathan Jones

Let $k$ be a global field, let $A$ be a Dedekind domain with $Quot (A) = k$ , and let $K$ be a finitely generated field. Using a unified approach for both elliptic curves and…