1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2023
Quadratic points on dynamical modular curves
John R. Doyle, David Krumm
Among all the dynamical modular curves associated to quadratic polynomial maps, we determine which curves have infinitely many quadratic points. This yields a classification statem…
math.NT2022★ 1 cited
New families satisfying the Dynamical Uniform Boundedness Principle over function fields
John R. Doyle, Xander Faber
We extend a technique, originally due to the first author and Poonen, for proving cases of the Strong Uniform Boundedness Principle (SUBP) in algebraic dynamics over function field…
math.DS2022
Polynomials with many rational preperiodic points
John R. Doyle, Trevor Hyde
In this paper we study two questions related to exceptional behavior of preperiodic points of polynomials in . We show that for all , there exists a polynom…