Publications:
On the height of the lowest zero of the Dedekind Zeta function, Bull. Aust. Math. Soc., Vol. 111, Issue 3, pp. 460 - 468, June 2025.
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. B. Dixit), submitted.
On points of small height in infinite extensions (with A. B. Dixit), submitted.
Lehmer's conjecture and p-adic equidistribution for algebraic numbers with small height (with A. B. Dixit), submitted.
On the distribution of shapes of pure quartic number fields (with S. Das, A. Mukhopadhyay, A. Ray), submitted.
Lower bound on Néron-Tate height of Abelian varieties, preprint.
Approximation of real numbers by algebraic numbers (with A. B. Dixit), in preparation.