Quadratic base change, theta lifting, and arithmetic hyperbolic manifolds of Machlaclan--Reid type. Joint with Ramin Takloo-Bighash, in progress.

Summation formula for central values of cubic twists of GL(2) automorphic L-functions. Joint with Chantal David and Guillaume Ricotta, in progress.

Explicit Hardy-Littlewood-Atkinson formula in number fields. Submitted.