Publications / Pre-prints     (Last Updated : October 2024)

5. Moments of Higher derivatives of the logarithmic dervative of Dirichlet L-functions. (pre-print available upon request).

4. Higher Euler-Kronecker Constants of Number Fields (submitted)

3. On Certain Polytopes Associated to Products of Algebraic Integer Conjugates.
    (with Seda Albayrak, Greg Knapp, and Khoa D. Nguyen)
      Proceedings of the American Mathematical Society   (to appear).

2. Minimal Subfields of Elliptic curves. (Journal version)   Open Access  
      Canadian Mathematical Bulletin   Volume 67, Issue 4, pp. 1029-1045, 2024.

1. PhD Thesis : Higher Euler-Kronecker constants, University of Toronto. (2023)
                          Also available on   ProQuest Dissertations & Theses  

Paper in Preparation

6. Factorization in the semigroup of L-functions and Artin’s Holomorphy Conjecture.

7. Gauss Sums and Elliptic Curves. (joint with G. Patil)

Undergraduate projects

REU 2015 : L-functions of the Picard family of Curves
Supervisor : Prof. Jerome W. Hoffman, Louisiana State University.