Jamie Juul

collaborators

3 papers

math.NT2026

Examples of Quadratic Polynomials over $Q$ with Surjective Arboreal Galois Representations

Luck Henderson, Jamie Juul, Brenner Lattin +2

We explore families of pairs of quadratic polynomials $f (x) = x^{2} + c \in Q$ and $a \in Q$ with $a$ being a strictly preperiodic point of $f$ to provide infinitely many…

math.NT2025

Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case

Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1

In a previous paper, we provided an explicit description of the arboreal Galois group of the postcritically finite polynomial $f (z) = z^{2} + c$ in the special case when the critical…

math.NT2025

Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case

Robert L. Benedetto, Dragos Ghioca, Jamie Juul +1

We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial $f (z) = z^{2} + c$ , where $c$ belongs to some arbitrary field of characterist…

Examples of Quadratic Polynomials over Q with Surjective Arboreal Galois Representations

Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case

Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case

Examples of Quadratic Polynomials over $Q$ with Surjective Arboreal Galois Representations