I work in the area of automorphic forms and arithmetic geometry. I am broadly interested in rigidity phenomena that appear in number theory. 

Some keywords in my research include: generating series of special cycles, Shimura varieties, Eisenstein series, Jacobi forms, vector-valued modular forms, Siegel and Hermitian modular forms, theta correspondence, Gross-Zagier formula, Heegner points, algebraic cycles and automorphic L-functions, arithmetic intersection theory, exceptional reductions of abeblian varieties, isogenies of elliptic curves, congruences of modular forms, p-adic modular forms, construction of p-adic L-functions, integrality of BDP L-functions, reciprocity laws, counting rational points, and circle method.