Irmak Balccik

activity

20212025

collaborators

4 papers

math.NT2025

Average rank of elliptic curves over function fields

Irmak Balçık

Let $q$ be a prime with $q \geq 5$ . We show that the average rank of elliptic curves over a function field $F_{q} (t)$ , when ordered by naive height, is bounded above by $2…

math.NT2025

Number fields generated by points in linear systems on curves

Irmak Balçik, Stephanie Chan, Yuan Liu +1

We develop techniques for determining the fibers of a morphism of curves $ϕ : C \to D$ over a nonarchimedean local field $K$ . These results have applications to studying closed poin…

math.NT2023

The Effect of Quadratic Base Change on Torsion of Elliptic Curves

Irmak Balçık, Burton Newman

Let $K$ be a quadratic number field and let $E$ be an elliptic curve defined over $K$ such that $E [2] \neq \subseteq E (K) .$ In this paper, we study the effect of quadratic base chan…

math.NT2021

Growth of Odd Torsion Over Imaginary Quadratic Fields of Class Number 1

Irmak Balçık

Let $K$ be a non-cylotomic imaginary quadratic field of class number 1 and $E / K$ is an elliptic curve with $E (K) [2] ≃ Z_{1} .$ We determine the odd-order torsion groups t…