Burungale A, Ono K, Tsai W-L. On the nonvanishing of central values and derivatives of modular

*L*-functions in families of quadratic twists. *. In Preparation.Content

Content

I'm a Research Postdoctoral Fellow at University of Virginia. My ment
or is Professor Ken Ono. I recently received my PhD from Texas A&M University. I was advised by Professor Riad Masri. I conduct research in algebraic and analytic number theory, arithmetic geometry, and combinatorics. I am especially interested in automorphic and modular forms, arithmetic statistics, elliptic curves, *L*-functions, number fields, and partitions in representation theory. I use high performance computing from time to time in my research. At UVa I am a frequent user of RIVANNA (UVA High-Performance Computing). Beginning August 2023, I will be a tenure-track assistant professor at the University of South Carolina. Please take a look at my CV _{(Last Updated: December 26, 2022)}.

- Burungale A, Ono K, Tsai W-L. On the nonvanishing of central values and derivatives of modular
*L*-functions in families of quadratic twists. *. In Preparation. - Griffin MJ, Ono K, Tsai W-L. Distributions of hook lengths in integer partitions. Proceedings of the American Mathematical Society, Series B (arXiv: https://arxiv.org/abs/2201.06630). In Press.Filepdf file495.54 KB
- Griffin MJ, Ono K, Rolen L, Tsai W-L.
Limiting Betti distributions of Hilbert schemes on

. Canadian Mathematical Bulletin (arXiv: https://arxiv.org/abs/2112.05279). In Press.*n*pointsFilepdf file472.75 KB - Balakrishnan JS, Ono K, Tsai W-L. Even values of Ramanujan's tau function. La Matematica (arXiv: https://arxiv.org/abs/2102.00111) 1, 394-403. 2022.Filepdf file295.45 KB
- Balakrishnan JS, Craig W, Ono K, Tsai W-L. Variants of Lehmer's speculation for newforms. Advances in Mathematics (arXiv: https://arxiv.org/abs/2005.10354). In Press.Filepdf file366.05 KB
- Masri R, Thorne F, Tsai W-L, Wang J. Malle’s conjecture for
*G × A*with*G = S*. *. Submitted._{3}, S_{4}, S_{5}Filepdf file418.72 KB - Masri R, Tsai W-L. Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series. Advances in Mathematics, 409, Part A. 2022.