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math.NT2018
a-Numbers of Curves in Artin-Schreier Covers
Jeremy Booher, Bryden Cais
Let be a branched -cover of smooth, projective, geometrically connected curves over a perfect field of characteristic . We investigate th…
math.NT2015★ 4 cited
On F-crystalline representations
Bryden Cais, Tong Liu
We extend the theory of Kisin modules and crystalline representations to allow more general coefficient fields and lifts of Frobenius. In particular, for a finite and totally ramif…
math.NT2012
The Geometry of Hida Families and Λ-adic Hodge Theory
Bryden Cais
We construct Λ-adic de Rham and crystalline analogues of Hida's ordinary Λ-adic etale cohomology, and by exploiting the geometry of integral models of modular curves over the cyclo…