16 citations · 21 across the 4 of their papers we have counts for
5 papers
On the variation of slopes over moduli stacks of Galois representations
John Bergdall, Robert Pollack
We determine how p-adic slopes of modular forms vary as their associated Galois representations modulo p vary over moduli of Galois representations. As a consequence, we show that…
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
Robert Pollack, Tom Weston
We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coeffic…
New phenomena arising from L-invariants of modular forms
John Bergdall, Robert Pollack
This article explains how to practically compute L-invariants of p-new eigenforms using p-adic L-series and exceptional zero phenomena. As proof of the utility, we compiled a data…
Slopes of modular forms and the ghost conjecture
John Bergdall, Robert Pollack
We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on class…
Slopes of modular forms and the ghost conjecture (unabridged version)
John Bergdall, Robert Pollack
We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on class…