Ekin Ozman

activity

20172019

collaborators

3 papers

math.NT2019

Asymptotic Generalized Fermat's Last Theorem over Number Fields

Yasemin Kara, Ekin Ozman

Recent work of Freitas and Siksek showed that an asymptotic version of Fermat's Last Theorem holds for many totally real fields. Later this result was extended by Deconinck to gene…

math.NT2018

Quadratic Points on Modular Curves

Ekin Ozman, Samir Siksek

In this paper we determine the quadratic points on the modular curves X_0(N), where the curve is non-hyperelliptic, the genus is 3, 4 or 5, and the Mordell--Weil group of J_0(N) is…

math.NT2017

Non-ordinary curves with a Prym variety of low $p$ -rank

Turku Ozlum Celik, Yara Elias, Burcin Gunes +4

If $π : Y \to X$ is an unramified double cover of a smooth curve of genus $g$ , then the Prym variety $P_{π}$ is a principally polarized abelian variety of dimension $g - 1$ . When $X$ is…

Asymptotic Generalized Fermat's Last Theorem over Number Fields

Quadratic Points on Modular Curves

Non-ordinary curves with a Prym variety of low p-rank

Non-ordinary curves with a Prym variety of low $p$ -rank