Let f and g, of weights k> k≥ 2, be normalised newforms for Γ0 (N), for square-free N> 1,
such that, for each Atkin-Lehner involution, the eigenvalues of f and g are equal. Let λ| l be a …

We introduce a new method of proof for R= T theorems in the residually reducible case. We
study the crystalline universal deformation ring R (and its ideal of reducibility I) of a mod p …

DK) be an imaginary quadratic field of discriminant− DK. We introduce a notion of an adelic
Maass space SM k,− k/2 for automorphic forms on the quasi-split unitary group U (2, 2) …

We prove a commutative algebra result which has consequences for congruences between
automorphic forms modulo prime powers. If C denotes the congruence module for a fixed …

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Let κ ≥ 6 κ≥ 6 be an even integer, MM an odd square-free integer, and f ∈ S_ 2 κ-2 (Γ _0
(M)) f∈ S 2 κ-2 (Γ 0 (M)) a newform. We prove that under some reasonable assumptions that …

Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this
article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to …

We study nearly holomorphic Siegel Eisenstein series of general levels and characters on ℍ
2 n, the Siegel upper half space of degree 2 n. We prove that the Fourier coefficients of these …

It has been well established that congruences between automorphic forms have far-
reaching applications in arithmetic. In this paper, we construct congruences for Siegel …

We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the
Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of …