Profile
Tianyu Ni
Mathematical and Statistical Sciences
Grad Teacher of Record
864-656-3434
Jordan Hall G15 [Office]
Educational Background
MS, Arts and Mathematics, Brandeis University, 2021
MS, Pure Mathematics, Sichuan University, 2019
BA, Mathematics, Northwest University, 2016
Research Interests
Modular forms and related topics.
Courses Taught
Business Calculus I, Business Calculus II.
Selected Publications
1. Austin Lei, Tianyu Ni, and Hui Xue. “Linear independence of even periods of modular forms”. In: J. Number Theory 248 (2023), pp. 120–139. doi: 10.1016/j.jnt.2023.01.004.
2. Austin Lei, Tianyu Ni, and Hui Xue. “Linear independence of odd periods of modular forms”. In: Res. Number Theory 9.2 (2023), Paper No. 33. doi: 10.1007/s40993-023-00439-9.
3. Tianyu Ni and Hui Xue. “Rankin–Cohen brackets of vector valued Eisenstein series”. In: The Ramanujan Journal (2023), pp. 1–21. doi: 10.1007/s11139-023-00752-y.
4. Archer Clayton, Helen Dai, Tianyu Ni, Hui Xue, and Jake Zummo. Nonvanishing of second coefficients of Hecke polynomials. J. Number Theory, 262:186–221, 2024.
5. A. Clayton, H. Dai, T. Ni, H. Xue, and J. Zummo, “Non-repetition of second coefficients of Hecke polynomials,” submitted.
6. Tianyu Ni and Hui Xue. “Linear independence of periods for the symmetric square L-functions,” submitted. Available at https://github.com/TianyuNi1994math/LINEAR-INDEPENDENCE-OF-PERIODS-FOR-THE-SECOND-SYMMETRIC-POWER-OF-L-FUNCTIONS
7.June Kayath, Connor Lane, Ben Neifeld, Tianyu Ni, and Hui Xue. Subspaces spanned by
eigenforms with nonvanishing twisted central L-values, submitted, 2024. Available at https://arxiv.org/abs/2407.00532.
Selected Talks
1. September 24, 2022. Linear independence of odd periods of modular forms. Palmetto Number Theory Series 34, Charlotte, NC.
2. December 11, 2022. Rankin-Cohen brackets of vector valued forms, Palmetto Number Theory Series 35, Columbia, SC.
3. December 9, 2023. Eichler-Shimura relations for derivative periods of modular forms, Palmetto Number Theory XXXVII, Athens, GA.
4. April 28, 2024. Linear independence of periods for the symmetric square L-functions, Southeastern Regional Meeting on Numbers, Spartanburg, SC.
5. May 21, 2024. Explicit linear relations between special values of derivatives of L-fucntions. 36th
Automorphic Forms Workshop, Stillwater, OK.
Honors and Awards
Sobczyk Fellowship, ($ 5000), Clemson University, School of Mathematical and Statistical Sciences 2021
Expected Graduation
2025/2026 spring
