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math.NT2025
Cubic points on dynamical modular curves
John R. Doyle, Alexander Galarraga
We consider the family of dynamical modular curves associated to quadratic polynomial maps and determine precisely which of these curves have infinitely many cubic points. We use t…
math.NT2025
Superelliptic degree sets over Henselian fields
Alexander Galarraga, Alexander Wang
Let be a discretely valued Henselian field. Creutz and Viray show that the degree set of a curve over a -adic field can miss infinitely many multiples of the index of $C…