Research
Research Interest: Modular forms, Analytic Number Theory.
In particular: Hilbert modular forms, eigenvalues of Hecke Operators, Petersson trace formula, and Kloosterman sums.
Publications/Preprints:
Publications/Preprints:
1. (with Baskar Balasubramanyam, Kaneenika Sinha) A discrepancy result for Hilbert modular forms (submitted), ArXiv Link.
2. (with Neha Prabhu) A central limit theorem for Hilbert modular forms (to appear in Journal of the Ramanujan Mathematical Society), ArXiv Link.
3. A lower bound for the discrepancy in a Sato-Tate type measure (to appear in The Ramanujan Journal), ArXiv Link.
4. (with Stephan Baier, Jewel Mahajan) A uniform lower bound for classical Kloosterman sums and an application (submitted). ArXiv Link