About Me

Hi! I’m Wei-Lun Tsai, an Assistant Professor at the University of South Carolina. Before coming to UofSC, I served as a Research Postdoctoral Fellow at the University of Virginia. My mentor was Ken Ono. I recently obtained my Ph.D. from Texas A&M University. I was advised by Riad Masri. My research primarily lies 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, and during my time at UVA, I was a frequent user of RIVANNA (HPC System). I actively participate in and help organize the Palmetto Number Theory Series (PANTS) and the Southeast Regional Meeting on Numbers (SERMON).

UofSC Mathematics Department Colloquium

Regular time and location: Thursdays at 4:30 pm, LeConte 444

UofSC Algebra, Geometry, and Number Theory Seminar

Regular time and location: Fridays at 3:30 pm, LeConte 315

Recent Publications

• M. Merca, K. Ono, and W.-L. Tsai, Do perfect powers repel partition numbers?, Annals of the Academy of Romanian Scientists, in press (arXiv).
• F. Beukers, W.-L. Tsai, and D. Ye, Lucas congruences using modular forms, Bulletin of the London Mathematical Society, in press (arXiv).
• M. van Hoeij, W.-L. Tsai, and D. Ye, The modularity of Z.-W. Sun’s conjectural formulas for 1/π, Proceedings of the American Mathematical Society, in press (arXiv).
• T. Bhowmik and W.-L. Tsai, Local limit theorems for hook lengths in partitions, Annals of Combinatorics, in press.
• M.J. Griffin, K. Ono, and W.-L. Tsai, Distributions of hook lengths in integer partitions, Proceedings of the American Mathematical Society (Series B) 11 (2024), 422–435 (arXiv). Publisher’s Version.
• J.S. Balakrishnan, W. Craig, K. Ono, and W.-L. Tsai, Variants of Lehmer’s speculation for newforms, Advances in Mathematics 428 (2023), 109–141 (arXiv). Publisher’s Version.
• J.S. Balakrishnan, K. Ono, and W.-L. Tsai, Even values of Ramanujan’s tau-function, La Matematica 1 (2022), 395–403 (arXiv). Publisher’s Version.
• R. Masri and W.-L. Tsai, Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series, Advances in Mathematics 409 (2022), Part A. Publisher’s Version.

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