Publications:
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, June 2025.
A p-adic criterion for Lehmer's conjecture (with A. Dixit), to appear in International Journal of Number Theory.
On points of small height in infinite extensions (with A. Dixit), to appear in Annali della Scuola Normale Superiore di Pisa.
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.
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.
An estimate for incomplete mixed character sums and applications (with D. Basnet, G. Kapetanakis, A. Mazumder), 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.