Özlem Ejder

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20232026

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math.NT2026

Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials

Özlem Ejder, Dilber Kocak

Let $f (x) \in K (x)$ be a quadratic polynomial where $K$ is a field of characteristic not equal to $2$ . The associated arboreal Galois representation of the absolute Galois group of…

math.NT2024

Galois theory of quadratic rational functions with periodic critical points

Özlem Ejder

Given a number field $k$ , and a quadratic rational function $f (x) \in k (x)$ , the associated arboreal representation of the absolute Galois group of $k$ is a subgroup of the automor…

math.NT2023

Iterated Monodromy Group of a PCF Quadratic Non-polynomial Map

Ozlem Ejder, Yasemin Kara, Ekin Ozman

We study the postcritically finite non-polynomial map $f (x) = \frac{1}{( x - 1 ) ^{2}}$ over a number field $k$ and prove various results about the geometric $G^{geom} (f)$ and arithm…