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math.NT2014
The Vojta conjecture implies Galois rigidity in dynamical families
Wade Hindes
We show that the Vojta (or Hall-Lang) conjecture implies that the arboreal Galois representations in a 1-parameter family of quadratic polynomials are surjective if and only if the…
math.NT2014★ 1 cited
Galois uniformity in quadratic dynamics over rational function fields
Wade Hindes
We prove that the arboreal Galois representation attached to a large class of quadratic polynomials defined over a field of rational functions in characteristic zero has finite ind…
math.NT2014
Rational points on certain families of symmetric equations
Wade Hindes
We generalize the work of Dem'janenko and Silverman for the Fermat quartics, effectively determining the rational points on the curves whenever the rank…