Anthony Guzman

collaborators

3 papers

math.NT2024

Reductions of Crystalline Representations for Small Weights

Anthony Guzman

We compute explicit reductions of crystalline representations of the absolute Galois group $Gal (Q_{p} / Q_{p^{f}})$ with labeled Hodge-Tate weights in…

math.NT2024

Reductions of Some Crystalline Representations in the Unramified Setting

Anthony Guzman

We determine semisimple reductions of irreducible, 2-dimensional crystalline representations of the absolute Galois group $Gal (Q_{p} / Q_{p^{f}})$ . To…

math.NT2022

Smoothness of components of the Emerton-Gee stack for $GL_{2}$

Anthony Guzman, Kalyani Kansal, Iason Kountouridis +2

Let $K$ be a finite unramified extension of $Q_{p}$ , where $p > 2$ . [CEGS22b] and [EG23] construct a moduli stack of two dimensional mod $p$ representations of the absolute Ga…

Reductions of Crystalline Representations for Small Weights

Reductions of Some Crystalline Representations in the Unramified Setting

Smoothness of components of the Emerton-Gee stack for GL2​

Smoothness of components of the Emerton-Gee stack for $GL_{2}$