Publications/Preprints :
On the height of the lowest zero of the Dedekind Zeta function, Bulletin of the Australian Mathematical Society, Vol. 111, Issue 3, pp. 460 - 468 (2025).
An estimate for incomplete mixed character sums and applications (with D. Basnet, G. Kapetanakis, A. Mazumder), Finite Fields and Their Applications, Vol. 117 (2027).
A p-adic criterion for Lehmer's conjecture (with A. Dixit), International Journal of Number Theory, to appear.
On points of small height in infinite extensions (with A. Dixit), Annali della Scuola Normale Superiore di Pisa, to appear.
Lower bound on heights of algebraic numbers and low lying zeros of Dedekind zeta function (with A. Dixit), submitted.
On the distribution of shapes of pure quartic number fields (with S. Das, A. Mukhopadhyay, A. Ray), submitted.
Lower bound for the canonical height on Abelian varieties over totally p-adic extensions, submitted.
Approximation of real numbers by algebraic numbers (with A. Dixit), in preparation.
Conference proceedings :
Lower bound on height functions, to appear in Proceedings of the International Conference on Lie Algebra and Number Theory (ICLANT - 2024), Springer Proceedings in Mathematics & Statistics.