I study automorphic forms in the realm of Langlands functoriality conjectures and their more recent generalization to spherical varaieties by Venkatesh-Sakellaridis. 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.
Organizational Affiliations
Professor of Mathematics,
Department of Mathematics , Brandeis University