Carl Wang-Erickson

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math.NT2024

Critical Lambda-adic modular forms and bi-ordinary complexes

Francesc Castella, Carl Wang-Erickson

We produce a flat $Λ$ -module of $Λ$ -adic critical slope overconvergent modular forms, producing a Hida-type theory that interpolates such forms over $p$ -adically varying integer we…

math.NT2024

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$

Christian Johansson, James Newton, Carl Wang-Erickson

We give a categorical formulation of the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$ ,as an embedding of the derived category of locally admissible rep…

math.NT2018

Presentations of non-commutative deformation rings via $A_{\infty}$ -algebras and applications to deformations of Galois representations and pseudorepresentations

Carl Wang-Erickson

We introduce an $A_{\infty}$ -algebra structure on the Hochschild cohomology of the endomorphism bimodule of a finite-dimensional representation of an associative algebra. We prove th…

Critical Lambda-adic modular forms and bi-ordinary complexes

Moduli stacks of Galois representations and the p-adic local Langlands correspondence for GL2​(Qp​)

Presentations of non-commutative deformation rings via A∞​-algebras and applications to deformations of Galois representations and pseudorepresentations

Moduli stacks of Galois representations and the $p$ -adic local Langlands correspondence for $GL_{2} (Q_{p})$

Presentations of non-commutative deformation rings via $A_{\infty}$ -algebras and applications to deformations of Galois representations and pseudorepresentations