Publications / Pre-prints     (Last Updated : May 2025)

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

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

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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.

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

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

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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.