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    Article

    Local models for Galois deformation rings and applications

    We construct projective varieties in mixed characteristic whose singularities model, in generic cases, those of tamely potentially crystalline Galois deformation rings for unramified extensions of ...

    Daniel Le, Bao V. Le Hung, Brandon Levin, Stefano Morra in Inventiones mathematicae (2023)

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    Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows

    We prove the weight part of Serre’s conjecture in generic situations for forms of U(3) which are compact at infinity and split at places dividing p as conjectured by Herzig (Duke Math J 149(1):37–116, 2009). We a...

    Daniel Le, Bao V. Le Hung, Brandon Levin, Stefano Morra in Inventiones mathematicae (2018)

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    Article

    Elliptic curves over real quadratic fields are modular

    We prove that all elliptic curves defined over real quadratic fields are modular.

    Nuno Freitas, Bao V. Le Hung, Samir Siksek in Inventiones mathematicae (2015)