The strong form of Serre?s modularity conjecture states that every two-dimensional continuous, odd, irreducible mod p representation of the absolute Galois group of Q arises from a modular form of a specific minimal weight, level and character. We show this minimal weight is equal to two other notions of minimal weight, one inspired by work of Buzzard, Diamond and Jarvis and one coming from p-adic Hodge theory. We discuss the interplay between these three notions for Galois representations over totally real fields and we investigate the consequences of this for generalised Serre conjectures. We focus on the modularity of partial weight one Hilbert modular forms, extending recent work of Diamond and Sasaki.