Hanneke Wiersema

activity

20192026

collaborators

11 papers

math.NT2026

Partial weight one modularity for Galois representations associated to mod $p$ Hilbert modular forms

Hanneke Wiersema

Let $p$ be an odd prime. Let $ρ : G_{F} \to GL_{2} (F_{p})$ be a Galois representation of a totally real field $F$ . For a small partial weight one weight $(k,0…

math.NT2025

Crystalline liftability of irregular weights

Hanneke Wiersema

Let $p$ be an odd prime. Let $K / Q_{p}$ be a finite unramified extension. Let $ρ : G_{K} \to G L_{2} (F_{p})$ be a continuous representation. We prove that $ρ$ has…

math.NT2025

Local data of elliptic curves under quadratic twist

Alexander J. Barrios, Manami Roy, Nandita Sahajpal +3

Let $K$ be the field of fractions of a complete discrete valuation ring with a perfect residue field. In this article, we investigate how the Tamagawa number of $E / K$ changes under…

math.NT2023

Irregular loci in the Emerton-Gee stack for GL_2

Rebecca Bellovin, Neelima Borade, Anton Hilado +5

Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystallin…

math.NT2023

Real quadratic singular moduli and $p$ -adic families of modular forms

Paulina Fust, Judith Ludwig, Alice Pozzi +2

The classical theory of elliptic curves with complex multiplication is a fundamental tool for studying the arithmetic of abelian extensions of imaginary quadratic fields. While no…

math.NT2023

Numerical Evidence for a refinement of Deligne's Period Conjecture for Jacobians of Curves

Robert Evans, Daniel Macias Castillo, Hanneke Wiersema

Let $A / Q$ be a Jacobian variety and let $F$ be a totally real, tamely ramified, abelian number field. Given a character $ψ$ of $F / Q$ , Deligne's Period Conjecture…

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

From $p$ -modular to $p$ -adic Langlands correspondences for $U (1, 1) (Q_{p^{2}} / Q_{p})$ : deformations in the non-supercuspidal case

Ramla Abdellatif, Agnès David, Beth Romano +1

This paper surveys what is known about (conjectural) $p$ -adic and $p$ -modular semisimple Langlands correspondences in the non-supercuspidal setting for the unramified quasi-split u…

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 $p$ Galois representation $ρ$ arises from a m…

math.NT2020

Integrality of twisted L-values of elliptic curves

Hanneke Wiersema, Christian Wuthrich

Under suitable, fairly weak hypotheses on an elliptic curve $E / Q$ and a primitive non-trivial Dirichlet character $χ$ , we show that the algebraic $L$ -value $\mathscr{L}(E,…

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…

Partial weight one modularity for Galois representations associated to mod p Hilbert modular forms

Crystalline liftability of irregular weights

Local data of elliptic curves under quadratic twist

Irregular loci in the Emerton-Gee stack for GL_2

Real quadratic singular moduli and p-adic families of modular forms

Numerical Evidence for a refinement of Deligne's Period Conjecture for Jacobians of Curves

Geometric modularity for algebraic and non-algebraic weights

From p-modular to p-adic Langlands correspondences for U(1,1)(Qp2​/Qp​): deformations in the non-supercuspidal case

Serre weights and the Breuil-Mézard conjecture for modular forms

Integrality of twisted L-values of elliptic curves

On a BSD-type formula for L-values of Artin twists of elliptic curves

Partial weight one modularity for Galois representations associated to mod $p$ Hilbert modular forms

Real quadratic singular moduli and $p$ -adic families of modular forms

From $p$ -modular to $p$ -adic Langlands correspondences for $U (1, 1) (Q_{p^{2}} / Q_{p})$ : deformations in the non-supercuspidal case