5 citations · 8 across the 3 of their papers we have counts for
5 papers
Pseudo-representations of weight one are unramified
Frank Calegari, Joel Specter
We prove that the determinant (pseudo-representation) associated to the Hecke algebra of Katz modular forms of weight one and level prime to p is unramified at p.
Polynomials with Surjective Arboreal Galois Representations Exist in Every Degree
Joel Specter
Let~ be a Hilbertian field of characteristic~. R.W.K. Odoni conjectured that for every positive integer~ there exists a polynomial~ of degree~ such that each…
The crystalline period of a height one -adic dynamical system over
Joel Specter
Let be a continuous ring endomorphism of of degree We prove that if acts on the tangent space at by a uniformizer and commutes wit…
There Exist Non-CM Hilbert Modular Forms of Partial Weight 1
Richard A. Moy, Joel Specter
In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter…
Galois Extensions of Height-One Commuting Dynamical Systems
Ghassan Sarkis, Joel Specter
We consider a dynamical system consisting of a pair of commuting power series, one noninvertible and another nontorsion invertible, of height one with coefficients in the -adic…