John Bergdall

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math.NT2026

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…

math.NT2024

A $p$ -adic adjoint $L$ -function and the ramification locus of the Hilbert modular eigenvariety

Baskar Balasubramanyam, John Bergdall, Matteo Longo

Let $F$ be a totally real field and $E$ the middle-degree eigenvariety for Hilbert modular forms over $F$ , constructed by Bergdall--Hansen. We study the ramification locu…

New phenomena arising from L-invariants of modular forms

A p-adic adjoint L-function and the ramification locus of the Hilbert modular eigenvariety

A $p$ -adic adjoint $L$ -function and the ramification locus of the Hilbert modular eigenvariety