crystalline representations 1Emerton-Gee stack 1Hodge types 1inclusion relations 1p-adic Galois representations 1
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math.NT2026
Inclusions between p-bounded crystalline loci in dimension two
Kalyani Kansal, Brandon Levin, David Savitt
The paper investigates the reduced special fibers of the Emerton‑Gee stack of two‑dimensional crystalline Galois representations as the Hodge type varies over p‑bounded types, clas…
math.NT2026
Resolutions of spaces of crystalline representations and modularity
Robin Bartlett, Bao V. Le Hung, Brandon Levin
We introduce a new partial resolution of crystalline spaces of Galois representations when the gaps in Hodge--Tate weights are smaller than , with no bound on ramification. Furt…
math.NT2024
Extremal weights and a tameness criterion for mod Galois representations
Daniel Le, Bao Viet Le Hung, Brandon Levin +1
We study the weight part of Serre's conjecture for generic -dimensional mod Galois representations. We first generalize Herzig's conjecture to the case where the field is ra…