collaborators

4 papers

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

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

Let be a CM number field; then, to any cuspidal, regular algebraic automorphic representation of is associated a compatible system of -adic Gal…

math.NT2026

An R=T theorem for certain orthogonal Shimura varieties

Hao Peng, Dmitri Whitmore

We prove an almost minimal R=T theorem for self-dual Galois representations with coefficients in a finite field satisfying a property called rigid. We also prove the rigidity prope…

math.NT2025

Irreducibility of polarized automorphic Galois representations in infinitely many dimensions

Zachary Feng, Dmitri Whitmore

Let be a polarized, regular algebraic, cuspidal automorphic representation of where is totally real or imaginary CM, and let b…