Ozlem Ejder

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math.NT2026

Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points

Ãzlem Ejder, Zofia GoÅaska, Yasemin Kara +2

We study the arithmetic and geometric iterated monodromy groups associated to the postcritically finite (PCF) quadratic rational function $f (x) = \frac{2}{( x - 1 ) ^{2}}$ defined over a nu…

math.NT2026

Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials

Ãzlem Ejder, 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.NT2025

Rational isolated $j$ -invariants from $X_{1} (ℓ^{n})$ and $X_{0} (ℓ^{n})$

Abbey Bourdon, Ãzlem Ejder

Let $ℓ$ and $n$ be positive integers with $ℓ$ prime. The modular curves $X_{1} (ℓ^{n})$ and $X_{0} (ℓ^{n})$ are algebraic curves over $Q$ whose non-cuspidal points param…

Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points

Settled Elements in Arboreal Galois Groups of Quadratic PCF Polynomials

Rational isolated j-invariants from X1​(ℓn) and X0​(ℓn)

Rational isolated $j$ -invariants from $X_{1} (ℓ^{n})$ and $X_{0} (ℓ^{n})$