John Bergdall

activity

20122026

most citedOrdinary Modular Forms and Companion Points on the Eigencurve

18 citations · 108 across the 18 of their papers we have counts for

collaborators

Showing 2017 · math.NTShow all

4 papers · 2 filters

math.NT2017★ 2 cited

Smoothness of definite unitary eigenvarieties at critical points

John Bergdall

We compute an upper bound for the dimension of the tangent spaces at classical points of certain eigenvarieties associated with definite unitary groups, especially including the so…

math.NT2017★ 6 cited

On $p$ -adic $L$ -functions for Hilbert modular forms

John Bergdall, David Hansen

We construct $p$ -adic $L$ -functions associated with $p$ -refined cohomological cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our construction i…

math.NT2017★ 7 cited

Slopes of modular forms and the ghost conjecture, II

John Bergdall, Robert Pollack

In a previous article, we constructed an entire power series over $p$ -adic weight space (the 'ghost series') and conjectured, in the $Γ_{0} (N)$ -regular case, that this series encodes…

math.NT2017★ 4 cited

Upper bounds for constant slope $p$ -adic families of modular forms

John Bergdall

We study $p$ -adic families of eigenforms for which the $p$ -th Hecke eigenvalue $a_{p}$ has constant $p$ -adic valuation ("constant slope families"). We prove two separate upper bounds…

Smoothness of definite unitary eigenvarieties at critical points

On p-adic L-functions for Hilbert modular forms

Slopes of modular forms and the ghost conjecture, II

Upper bounds for constant slope p-adic families of modular forms

On $p$ -adic $L$ -functions for Hilbert modular forms

Upper bounds for constant slope $p$ -adic families of modular forms