We prove the Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate
representations of the absolute Galois group (up to the question of determining precise …

Let $ p> 2$ be prime. We prove the weight part of Serre's conjecture for rank two unitary
groups for mod $ p $ representations in the unramified case (that is, the Buzzard–Diamond …

We study the weight part of (a generalisation of) Serre's conjecture for mod l Galois
representations associated to automorphic representations on rank two unitary groups for …

Let p> 2 be prime. We use purely local methods to determine the possible reductions of
certain two-dimensional crystalline representations, which we call pseudo-Barsotti–Tate …

We prove the weight elimination direction of the Serre weight conjectures as formulated by
Herzig for forms of U (n) which are compact at infinity and split at places dividing p in generic …

We prove the weight part of Serre's conjecture in generic situations for forms of U (3) which
are compact at infinity and split at places dividing p as conjectured by Herzig (Duke Math J …

We study the weight part of Serre's conjecture for generic $ n $-dimensional mod $ p $
Galois representations. We first generalize Herzig's conjecture to the case where the field is …

Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert
modular forms for F, defined as sections of automorphic line bundles on Hilbert modular …

A generalization of Serre's Conjecture asserts that if-adic Hodge theory. The resulting
conjecture amounts to an explicit description of wild ramification in reductions of certain …

My title Page 1 arXiv:1711.09035v2 [math.NT] 26 Oct 2022 WEIGHT ELIMINATION IN TWO
DIMENSIONS WHEN p = 2 XIYUAN WANG Abstract. We prove the ‘weight elimination’ part of …