Irmak Balccik

collaborators

3 papers

math.NT2025

Average rank of elliptic curves over function fields

Irmak BalÃ§Ä±k

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 BalÃ§ik, Stephanie Chan, Yuan Liu +1

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

math.NT2024

The Effect of Quadratic Base Change on Torsion of Elliptic Curves

Irmak BalÃ§Ä±k, 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…