Research Interest

  1. Number Theory
  2. Automorphic Forms
  3. Optimization
  4. Machine Learning

I received my PhD in mathematics in May 2018, from the University of Oklahoma, under the supervision of Dr. Ralf Schmidt. At present, I'm a postdoctoral fellow in the Department of Mathematics at the University of Manitoba, and I am working with Dr. Siddarth Sankaran.



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 autmorphic representation theoretic methods, that often provides deep insights in number theory.

I am also interested in optimization, especially using randomized algorithms, quantum computational methods and machine learning tools.

Publicatons & preprints

  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. )
    Accepted, to appear in the Journal of the Ramanujan Mathematical Society.


  4. Trajectory optimization using quantum computing. (with Prakash Vedula. )
    Accepted, to appear in the Journal of Global Optimization.


  5. My thesis: On Klingen Eisenstein series.
  6. pdf.


Here is my CV and here is my blog.