I am interested in all aspects of finite fields and their applications, including polynomials, normal bases, primitive elements, character sum estimates, and permutation polynomials. I am also interested in arithmetic dynamics and algebraic number theory.
Publications:
An estimate for incomplete mixed character sums and applications, (with D. K. Basnet, G. Kapetanakis, S. Kala) Finite fields and their applications (to appear).
Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields (with G. Kapetanakis, D. K. Basnet) Finite fields and their applications, 110, 2026.
Primitive normal pairs with prescribed traces over finite fields (with S. Nath, D. K. Basnet) Ars Combinatoria, 163:69-82, 2025.
Preprints:
Estimates for mixed character sums involving bivariate arguments over finite fields , (with S. Nath, D. K. Basnet), submitted (preprint).
On r-primitive k-normal Gauss periods of type (n, 2) (with D. K. Basnet), submitted (preprint).
Primitive values of rational functions at primitive elements of a finite field avoiding affine hyperplanes (with B. Sharma, D. K. Basnet), submitted (preprint).
Primitive normal pairs of elements with one prescribed trace (with H. Hazarika, G. Kapetanakis, D. K. Basnet), submitted.
Reviewer for:
Finite Fields and Their Applications, Elsevier.
Proceedings of the 30th Applications of Computer Algebra (ACA 2025), Springer Proceedings in Mathematics & Statistics, Springer.