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math.NT2025
Moduli stacks of Galois representations and the -adic local Langlands correspondence for
Christian Johansson, James Newton, Carl Wang-Erickson
We give a categorical formulation of the -adic local Langlands correspondence for ,as an embedding of the derived category of locally admissible rep…
math.NT2025
Critical Lambda-adic modular forms and bi-ordinary complexes
Francesc Castella, Carl Wang-Erickson
We produce a flat -module of -adic critical slope overconvergent modular forms, producing a Hida-type theory that interpolates such forms over -adically varying integer…
math.NT2024
Explicit non-Gorenstein R=T via rank bounds I: Deformation theory
Catherine Hsu, Preston Wake, Carl Wang-Erickson
Ribet has proven remarkable results about non-optimal levels of residually reducible Galois representations. We focus on a non-optimal level that is the product of two distinct…