Research Interest

  1. Number Theory
  2. Quantum Computation
  3. Optimization
  4. Combinatorics

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

  1. 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.


  2. A short proof of Cayley's Tree Formula.
    The American Mathematical Monthly, 125 (2018), no. 1, 65-68.


  3. On Klingen Eisenstein series. ( with Ralf Schmidt. )
    Journal of the Ramanujan Mathematical Society, 34 (2019), 373-388.


  4. Trajectory optimization using quantum computing. ( with Prakash Vedula. )
    Journal of Global Optimization 75 (2019), 199–225.


  5. Means Compatible with Semigroup Laws. ( with R. Padmanabhan. )
    Quasigroups and Related Systems, 27 (2019), 317-324.


  6. Pullback of Klingen Eisenstein series and certain critical L-values identities.
    The Ramanujan Journal (2020).


  7. In Press

  8. Orchards in elliptic curves over finite fields ( with R. Padmanabhan. )
    To appear in Finite Fields and Their Applications.
    arXiv


  9. Preprints

  10. Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities
    arXiv


  11. When do we have 1 + 1 = 11 and 2 + 2 =5? ( with R. Padmanabhan. )
    arXiv


  12. My thesis: On Klingen Eisenstein series.
  13. Pdf.


Math Education

  1. On teaching mathematics to gifted students.
    arXiv