Lambert A'Campo

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20202026

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math.NT2026

Adjoint Bloch--Kato Selmer groups of regular algebraic automorphic Galois representations

Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1

We prove the vanishing of the adjoint Bloch--Kato Selmer group of the Galois representations associated to regular algebraic automorphic representations of general linear groups ov…

math.NT2026

Local-global compatibility of automorphic Galois representations over CM fields at $p$

Lambert A'Campo, Bence Hevesi, Jack A. Thorne +1

Let $F$ be a CM number field; then, to any cuspidal, regular algebraic automorphic representation of $GL_{n} (A_{F})$ is associated a compatible system of $p$ -adic Gal…

math.NT2024

Dwork Motives, Monodromy and Potential Automorphy

Lambert A'Campo

In this paper we study certain families of motives, which arise as direct summands of the cohomology of the Dwork family. We computationally find examples of interesting families w…

math.NT2020

Every 7-Dimensional Abelian Variety over the p-adic Numbers has a Reducible $ℓ$ -adic Galois Representation

Lambert A'Campo

Let $K$ be a complete, discretely valued field with finite residue field and $G_{K}$ its absolute Galois group. The subject of this note is the study of the set of positive integers…

Adjoint Bloch--Kato Selmer groups of regular algebraic automorphic Galois representations

Local-global compatibility of automorphic Galois representations over CM fields at p

Dwork Motives, Monodromy and Potential Automorphy

Every 7-Dimensional Abelian Variety over the p-adic Numbers has a Reducible ℓ-adic Galois Representation

Local-global compatibility of automorphic Galois representations over CM fields at $p$

Every 7-Dimensional Abelian Variety over the p-adic Numbers has a Reducible $ℓ$ -adic Galois Representation