Let Ï€ be a regular algebraic cuspidal automorphic representation of GL2 over an imaginary quadratic number field K, and let l be a prime number. Assuming the central character of Ï€ is invariant underâ€¦ (More)

For certain algebraic Hecke characters Ï‡ of an imaginary quadratic field F we define an Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL2/F . By findingâ€¦ (More)

We prove the modularity of certain residually reducible p-adic Ga-lois representations of an imaginary quadratic eld assuming the uniqueness of the residual representation. We obtain an R = T theoremâ€¦ (More)

We prove the modularity of minimally ramified ordinary residually reducible p-adic Galois representations of an imaginary quadratic field F under certain assumptions. We first exhibit conditionsâ€¦ (More)

We study the arithmetic of Eisenstein cohomology classes (in the sense of G. Harder) for symmetric spaces associated to GL2 over imaginary quadratic fields. We prove in many cases a lower bound onâ€¦ (More)

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 automorphic Hecke eigenformâ€¦ (More)

We argue for the usefulness of convenient optimization criteria, when building scalable and efficient instance retrieval inference services for ontology-based applications. We discuss severalâ€¦ (More)

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 Galoisâ€¦ (More)

For certain algebraic Hecke characters Ï‡ of an imaginary quadratic field F we define an Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL2/F . By findingâ€¦ (More)