Laura Walton

activity

20162019

most citedLocal arboreal representations

9 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2019

An alternate proof of idempotent relations among periodic points and quotients

Xander Faber, Michelle Manes, Laura Walton

We give a short proof of an idempotent relation formula for counting periodic points of endomorphisms defined over finite fields. The original proof of this result, due to Walton,…

math.NT2018

Arboreal representations for rational maps with few critical points

Jamie Juul, Holly Krieger, Nicole Looper +3

Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain condit…

math.NT2017★ 1 cited

Counting periodic points over finite fields

Laura Walton

Let $V$ be a quasiprojective variety defined over $F_{q}$ , and let $ϕ : V \to V$ be an endomorphism of $V$ that is also defined over $F_{q}$ . Let $G$ be a finite…

math.NT2016★ 9 cited

Local arboreal representations

Jacqueline Anderson, Spencer Hamblen, Bjorn Poonen +1

Let $K$ be a field complete with respect to a discrete valuation $v$ of residue characteristic $p$ . Let $f (z) \in K [z]$ be a separable polynomial of the form $z^{ℓ} - c .$ Given $a \…