I am a Ph.D. student in the Department of Mathematics at the University of Houston since August 2025. Before this, I completed the B.Sc. (Hons.) in Mathematics and Computing programme at the Institute of Mathematics and Applications, Bhubaneswar, affiliated with the Utkal University. Then I joined the Faculty of Mathematics and Computer Science at the University of Münster in Germany in October 2020, where I completed the M.Sc. Mathematics programme in June 2023. I wrote my master's thesis titled On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves under the supervision of Prof. Christopher Deninger.

 In 2024, I joined the Master 2 Mathématiques et Applications-Analysis, Number Theory and Geometry (M2 AAG) programme at the Paris-Saclay University. I also wrote a thesis as part of that programme on the Subconvexity Problem for Rankin-Selberg L-functions on unitary groups U(n) x U(n+1) in the depth aspect under Prof. Farrell Brumley's supervision at the IMJ-PRG. 

For a brief description of the work presented in the thesis and to know about my past and current research works, you may visit Preprints and Other Articles.

Here is my  CV.

As an avid problem solver, I often write my solutions and ideas for competitive mathematical problems here. 

You can contact me by email at aray9 at uh dot edu.