Research
Research profile
Number theory, automorphic forms, and arithmetic geometry, with particular emphasis on Beilinson’s conjectures, Euler systems, the Kudla program, and the relative Langlands program.
My research concerns the arithmetic of automorphic forms, motivic cohomology, special L-values, and automorphic periods.
Research directions
Selected preprint
-
Higher regulators, interior motives, and non-critical values of automorphic L-functions.
Research in preparation
My current manuscripts in preparation span several related directions:
-
Adelic Borcherds lifts and Borcherds products
-
Theta lifts in higher Chow groups
-
On higher regulators of orthogonal Shimura varieties
-
On regularized linear periods
-
Higher Hida and Coleman theory on GU(2,1)