I study automorphic representations in the realm of Langlands functoriality conjectures and their more recent generalization to spherical varaieties. In particular, I am interested in the period integrals of automorphic forms, characterization of non-vanishing and relation with special L-values. I am also interested in the related local representation theoretic problems that arise from the study of period integrals and their relation with harmonic analysis on locally compact homogeneous spaces.
I study automorphic representations in the realm of Langlands functoriality conjectures and their more recent generalization to spherical varaieties. In particular, I am interested in the period integrals of automorphic forms, characterization of non-vanishing and relation with special L-values. I am also interested in the related local representation theoretic problems that arise from the study of period integrals and their relation with harmonic analysis on locally compact homogeneous spaces.
