Research

Research Interests:

Analytic number theory, probabilistic number theory, explicit number theory, distribution of Fourier coefficients of modular cusp forms, arithmetic statistics, pair correlation statistics, eigenvalues of Hecke Operators, Eichler-Selberg trace formula.

Publications/Preprints:

1) Higher moments of the pair correlation function for Sato-Tate sequences, (with Kaneenika Sinha, Journal of Number Theory, Volume 257, 2024, Pages 24-97, ISSN 0022-314X).

2) A uniform lower bound for classical Kloosterman sums and an application, (with Stephan Baier, Jishu Das) (submitted), ArXiv Link.

Ongoing Projects:

1) An explicit version Of Linnik’s theorem For the least prime in an arithmetic progression (Ongoing IPENT Research Project) with Chi Hoi (Kyle) Yip, Cruz Castillo, Michaela Cully-Hugill, and Nathan Ng (project leader), expected to be completed by November 2024.

Research

Research Interests:

Analytic number theory, probabilistic number theory, explicit number theory, distribution of Fourier coefficients of modular cusp forms, arithmetic statistics, pair correlation statistics, eigenvalues of Hecke Operators, Eichler-Selberg trace formula.

Publications/Preprints:

Ongoing Projects:

Ph.D. Thesis: My PhD thesis can be found here.

My Defense slides: I defended my thesis on the 1st of December, 2023. The slides for my defence talk can be found in the following link.