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
I work in Number Theory, especially in modular forms and related topics such as special values of
automorphic L-series, cohomology of arithmetic groups, and modular symbols.
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. J.
Number Theory, vol. 248, pp. 120–139, 2023.
2. Austin Lei, Tianyu Ni, and Hui Xue. Linear independence of odd periods of modular forms. Res.
Number Theory, 9(2):Paper No. 33, 20, 2023.
3. Tianyu Ni, Hui Xue. Rankin–Cohen brackets of vector valued eisenstein series. The Ramanujan Journal, pp. 1–21, 2023.
4. Archer Clayton, Helen Dai, Tianyu Ni, Hui Xue, and Jake Zummo. Nonvanishing of second coeffi-
cients of Hecke polynomials. J. Number Theory, 262:186–221, 2024.
5. June Kayath, Connor Lane, Ben Neifeld, Tianyu Ni, and Hui Xue. AGM aquariums and elliptic
curves over arbitrary finite fields. Res. Number Theory, 11(2):Paper No. 48, 2025.
6. Tianyu Ni, Hui Xue. Linear independence of periods for the symmetric square L-functions, to appear in Ann. Math. Qué, 2025.
7. June Kayath, Connor Lane, Ben Neifeld, Tianyu Ni, and Hui Xue. Subspaces spanned by eigenforms with nonvanishing twisted central L-values, submitted, 2024.
8. Archer Clayton, Helen Dai, Tianyu Ni, Erick Ross, Hui Xue, and Jake Zummo. Non-repetition of
second coefficients of Hecke polynomials, to appear in Indagationes Mathematicae, 2025.
9. Tianyu Ni, Hui Xue. Twisted periods of modular forms, submitted, 2025
10. Tianyu Ni. A note on the critical values of symmetric square L-functions, submitted, 2025.
11. Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, and Amanda Yin. Explicit generators of the space of
modular forms, submitted, 2025.
12. Abby Linscott, Tianyu Ni, Ish Shah, and Hui Xue. Shimura lifts of nearly holomorphic modular
forms, submitted, 2025.
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.
6. September 21, 2024. Shimura lift and non-vanishing of twisted central L-values, Palmetto
Number Theory Series 38, Winston-Salem, NC.
7. December7, 2024. Shimura lift of Rankin-Cohen brackets of Eisenstein series and theta function,
Palmetto Number Theory Series 39, Columbia, SC.
8. April 12, 2025. Twisted periods of modular forms, Southeastern Regional Meeting on Numbers,
Savannah, GA.
Honors and Awards
Sobczyk Fellowship, ($ 5000), Clemson University, School of Mathematical and Statistical Sciences 2021
Outstanding Graduate in Research Award School of Mathematical and Statistical Sciences, Clemson University 2025
Expected Graduation
2026 May/August
