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Shimura developed his theory of nearly holomorphic forms in his study on the algebraicity of
special L-values and Klingen Eisenstein series [42, 45]. With the goal of combining this …

Let be an elliptic curve and be a good ordinary prime for E and assume that with root
number (so). A construction of Darmon–Rotger attaches to E and an auxiliary weight 1 …

In this article, we seek to combine two important tools in arithmetic: the nearly holomorphic
modular forms of Shimura and the p-adic families of modular forms of Hida and Coleman …

The purpose of this thesis is to construct nontrivial elements in the Bloch--Kato Selmer group
of the symmetric cube of the Galois representation attached to a cuspidal holomorphic …

We reformulate Shimura's theory of nearly holomorphic forms for Siegel modular forms using
automorphic sheaves over Siegel varieties. This sheaf-theoretic reformulation allows us to …

We develop and utilize p-adic Hodge theory in families in the context of local-global aspects
of the Langlands program. Our first result allows one to interpolate Hodge-Tate and de …

Labesse, Morel, Skinner, and Shin have attached twisted base changes (on general linear
groups) to regular cohomological cuspidal automorphic representations on certain unitary …

Erratum to ”On the ranks of Selmer groups for elliptic curves over Q” Page 1 Erratum to ”On
the ranks of Selmer groups for elliptic curves over Q” Eric Urban August 22, 2013 • In theorem …