I am an Assistant Professor in the Mathematical and Physical Sciences division of the School of Arts and Sciences at **Ahmedabad University.**** **

### Research

My research interests primarily lie in**modular forms, automorphic forms and automorphic representations.**I am interested in exploring the rich interplay between the classical methods and the automorphic representation theoretic methods, that often provides deep insights in number theory.

I am also interested in optimization, especially using quantum computational algorithms.

### Publicatons

- 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.
**The American Mathematical Monthly, 125 (2018), no. 1, 65-68.** - On Klingen Eisenstein series. ( withJournal of the Ramanujan Mathematical Society, 34 (2019), 373-388.
**Ralf Schmidt.**) - Trajectory optimization using quantum computing. ( withJournal of Global Optimization 75 (2019), 199–225.
**Prakash Vedula.**) - Means Compatible with Semigroup Laws. ( withQuasigroups and Related Systems, 27 (2019), 317-324.
**R. Padmanabhan.**) - Pullback of Klingen Eisenstein series and certain critical L-values identities.The Ramanujan Journal (2020).
- Orchards in elliptic curves over finite fields ( with
**R. Padmanabhan.**)arXiv**To appear in Finite Fields and Their Applications.** - Tiling proofs of Jacobi triple product and Rogers-Ramanujan identitiesarXiv
- When do we have 1 + 1 = 11 and 2 + 2 =5? ( witharXiv
**R. Padmanabhan.**) - My thesis: On Klingen Eisenstein series.

### In Press

### Preprints

**Pdf.**