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math.NT2026
The trianguline variety for reductive groups
Andrea Conti, Mohamed Moakher, Julian Quast
We study the trianguline variety for split connected reductive groups. We generalize a theorem of Breuil, Hellmann, and Schraen about its local structure, establishing smoothness o…
math.NT2024
Quantitative level lowering for weight two Hilbert modular forms
Mohamed Moakher
We generalize a result of Ribet and Takahashi on the parametrization of elliptic curves by Shimura curves to the Hilbert modular setting. In particular, we study the behaviour of t…
math.NT2023
Symplectic determinant laws and invariant theory
Mohamed Moakher, Julian Quast
We introduce the notion of by analogy with Chenevier's definition of determinant laws. Symplectic determinant laws are a way to define pseudo…