Fred Diamond

most citedOn Serre's conjecture for mod l Galois representations over totally real fields

130 citations · 130 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2025

Adjoint motives of modular forms and the Tamagawa number conjecture

Fred Diamond, Matthias Flach, Li Guo

Let $f$ be a newform of weight $k \geq 2$ , level $N$ with coefficients in a number field $K$ , and $A$ the adjoint motive of the motive $M$ associated to $f$ . We carefully discuss th…

math.NT2025

On Galois representations associated to mod $p$ Hilbert modular forms

Fred Diamond, Shu Sasaki

We consider mod $p$ Hilbert modular forms for a totally real field $F$ , viewed as sections of automorphic line bundles on Hilbert modular varieties in prime characteristic $p$ . For…

math.NT2025

Cones of Weights and Minimal Cones of the Goren-Oort Strata in Hilbert modular varieties

Fred Diamond, Payman L Kassaei

Let $p$ be a prime, $F$ a totally real field in which $p$ is unramified, and $X / F_{p}$ a Shimura variety associated to $Res_{F / Q} GL_{2}$ (or a…

math.NT2008★ 130 cited

On Serre's conjecture for mod l Galois representations over totally real fields

Kevin Buzzard, Fred Diamond, Frazer Jarvis

In 1987 Serre conjectured that any mod l ("ell", not "1") two-dimensional irreducible odd representation of the absolute Galois group of the rationals came from a modular form in a…

Adjoint motives of modular forms and the Tamagawa number conjecture

On Galois representations associated to mod p Hilbert modular forms

Cones of Weights and Minimal Cones of the Goren-Oort Strata in Hilbert modular varieties

On Serre's conjecture for mod l Galois representations over totally real fields

On Galois representations associated to mod $p$ Hilbert modular forms