3 papers
math.NT2022
Geometric modularity for algebraic and non-algebraic weights
Hanneke Wiersema
In this short paper we generalise a result of Diamond--Sasaki connecting geometric modularity of algebraic weights to geometric modularity of non-algebraic weights and vice versa.…
math.NT2020
Serre weights and the Breuil-Mézard conjecture for modular forms
Hanneke Wiersema
Serre's strong conjecture, now a theorem of Khare and Wintenberger, states that every two-dimensional continuous, odd, irreducible mod Galois representation arises from a m…
math.NT2019
On a BSD-type formula for L-values of Artin twists of elliptic curves
Vladimir Dokchitser, Robert Evans, Hanneke Wiersema
This is an investigation into the possible existence and consequences of a Birch-Swinnerton-Dyer-type formula for L-functions of elliptic curves twisted by Artin representations. W…