Let K be a finite extension of ℚ p and let Γ be the Galois group of the cyclotomic extension of
K. Fontaine's theory gives a classification of p-adic representations of Ga (K¯/K) in terms of …

There Exist Non-CM Hilbert Modular Forms of Partial Weight 1 | International Mathematics
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This article deals with universal deformations of dihedral representations with a particular
focus on the question when the universal deformation is dihedral. Results are obtained in …

We develop a new strategy for studying low weight specializations of p-adic families of
ordinary modular forms. In the elliptic case, we give a new proof of a result of Ghate--Vatsal …

This paper generalises previous work of the author to the setting of overconvergent p-adic
automorphic forms for a definite quaternion algebra over a totally real field. We prove results …

Hilbert modular forms are a generalization of classical modular forms from the rational
numbers to a totally real extension. Instead of a having a single weight, Hilbert modular …

This thesis contains three results related to Galois representations and modular forms of low
weight. Each constitutes a chapter of this work, and can be read independently from the …