papers
Publications (16)
math.NT2019
An alternate proof of idempotent relations among periodic points and quotients
Xander Faber, Michelle Manes, Laura Walton
math.NT2013
Newton's Method Over Global Height Fields
Xander Faber, Adam Towsley
math.NT2017
A large arboreal Galois representation for a cubic postcritically finite polynomial
Robert L. Benedetto, Xander Faber, Benjamin Hutz +2
math.DS2013
Degenerations of Complex Dynamical Systems
Laura DeMarco, Xander Faber
math.NT2013
Topology and Geometry of the Berkovich Ramification Locus for Rational Functions
Xander Faber
math.NT2010
On the Number of Rational Iterated Pre-images of the Origin Under Quadratic Dynamical Systems
Xander Faber, Benjamin Hutz, Michael Stoll
math.DS2016
Degenerations of Complex Dynamical Systems II: Analytic and Algebraic Stability
Laura DeMarco, Xander Faber, with an appendix by Jan Kiwi
math.NT2011
Rational Functions with a Unique Critical Point
Xander Faber
math.NT2012
Computing conjugating sets and automorphism groups of rational functions
Xander Faber, Michelle Manes, Bianca Viray
math.NT2011
Prime Factors of Dynamical Sequences
Xander Faber, Andrew Granville
math.AG2010
Metric Properties of the Tropical Abel-Jacobi Map
Matthew Baker, Xander Faber
math.NT2013
Benedetto's trick and existence of rational preperiodic structures for quadratic polynomials
Xander Faber
math.CO2005
Metrized graphs, electrical networks, and Fourier analysis
Matthew Baker, Xander Faber
math.NT2013
Topology and Geometry of the Berkovich Ramification Locus for Rational Functions, II
Xander Faber
math.NT2008
Uniform Bounds on Pre-Images under Quadratic Dynamical Systems
Xander Faber, Benjamin Hutz, Patrick Ingram +4
math.NT2010
On the Number of Places of Convergence for Newton's Method over Number Fields
Xander Faber, José Felipe Voloch