My research interests primarily lie in

**modular forms, automorphic forms and automorphic representations**. I am especially interested in the rich interplay between the classical methods and the autmorphic representation theoretic methods, that often provides deep insights.**We have developed a complete theory of Klingen Eisenstein series using automorphic representations, both with respect to paramodular and Siegel congruence subgroups.**I am also interested in the paramodular conjecture, which predicts a connection between abelian surfaces and Siegel modular forms with respect to the paramodular subgroups.I am also interested in optimization, especially using randomized algorithms and quantum computation.

### Publicatons & preprints

- Co-dimensions of the spaces of cusp forms for Siegel congruence subgroups in degree two, Pacific Journal of Mathematics 293(2018), no. 1, 207–244.
- A short proof of Cayley's Tree Formula. (Accepted. To appear in the American Mathematical Monthly.)
- On Klingen Eisenstein series. (Submitted, with Ralf Schmidt.)
- Some interesting connections. (Submitted.)