Research Interest: Modular forms, Analytic Number Theory.
In particular: Hilbert modular forms, eigenvalues of Hecke Operators, Petersson trace formula, and Kloosterman sums.
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, Journal of the Ramanujan Mathematical Society, 40, No. 1: 29-41, 2025, ArXiv Link, Journal Link .
3. A lower bound for the discrepancy in a Sato-Tate type measure, Ramanujan Journal, 65(2): 637–658, 2024, ArXiv Link, Journal Link .
4. (with Stephan Baier, Jewel Mahajan) A uniform lower bound for classical Kloosterman sums and an application (submitted), ArXiv Link .
5. Shortest nonzero lattice points in a totally real multi-quadratic number field and applications (submitted), ArXiv Link .