Publications / Pre-prints
(Last Updated : Jan 2026)
ORCID: 0009-0009-0863-663X
6. Distribution of values of higher derivatives of \( L'(s,\chi)/L(s,\chi) \) 
(submitted)
5. Moments of Higher derivatives of the logarithmic dervative of Dirichlet L-functions.
(submitted)
4. Higher Euler-Kronecker Constants of Number Fields.
International Journal of Number Theory (to appear) Journal Version
3. On Certain Polytopes Associated to Products of Algebraic Integer Conjugates.
(joint with Seda Albayrak, Greg Knapp, and Khoa D. Nguyen) 2025. Journal Version
Proceedings of the American Mathematical Society, Volume 153, Number 5, P.1917–1932.
2. Minimal Subfields of Elliptic curves. Open Access 
Canadian Mathematical Bulletin, Volume 67, Issue 4, pp. 1029-1045, 2024. Journal Version
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.