Analytic continuation of differential operators and applications to Galois representations
We construct mod p differential operators on automorphic forms on unitary and symplectic groups, and describe their effect on the Galois representations attached to such forms.
HLinear: Exact Dense Linear Algebra in Haskell
We present an implementation in the functional programming language Haskell of the PLE decomposition of matrices over division rings.
Cohomological vanishing on Siegel modular varieties and applications to lifting Siegel modular forms
We give conditions for lifting Siegel modular forms (mod $p$) to characteristic zero.