James Newton

collaborators

3 papers

math.NT2025

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$

Christian Johansson, James Newton, Carl Wang-Erickson

We give a categorical formulation of the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$ ,as an embedding of the derived category of locally admissible rep…

math.NT2025

The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms

George Boxer, Frank Calegari, Toby Gee +2

We prove the Ramanujan and Sato-Tate conjectures for Bianchi modular forms of weight at least 2. More generally, we prove these conjectures for all regular algebraic cuspidal autom…

math.NT2024

Construction of eigenvarieties

James Newton

These are notes based on four lectures given at the Heidelberg spring school on non-archimedean geometry and eigenvarieties. None of the contents are original work. Our goal is to…

Moduli stacks of Galois representations and the p-adic local Langlands correspondence for GL2​(Qp​)

The Ramanujan and Sato-Tate Conjectures for Bianchi modular forms

Construction of eigenvarieties

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$