I have mentored students in 2023, 2024, 2025, and 2026 REU in Number Theory at Clemson University. In each year, at least two papers were produced.
2023 Clemson REU in Number Theory
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.
Archer Clayton, Helen Dai, Tianyu Ni, Erick Ross, Hui Xue, and Jake Zummo. Non-repetition of second coefficients of Hecke polynomials. Indag. Math. (N.S.), 37(4):1117–1135, 2026.
2024 Clemson REU in Number Theory
Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, and Amanda Yin. Explicit generators of the space of modular forms. Ramanujan J., 70(3):47, 2026.
Abby Linscott, Tianyu Ni, Ish Shah, and Hui Xue. Shimura lifts of nearly holomorphic modular forms. Internat. J. Math., 37(7):Paper No. 2650032, 22, 2026.
2025 Clemson REU in Number Theory
Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, and Amanda Yin. Explicit generators of the space of modular forms. Ramanujan J., 70(3):47, 2026.
Abby Linscott, Tianyu Ni, Ish Shah, and Hui Xue. Shimura lifts of nearly holomorphic modular forms. Internat. J. Math., 37(7):Paper No. 2650032, 22, 2026.
2026 Clemson REU in Number Theory
Tianyu Ni, Milo Stammers, Hui Xue, and Sarah Yan. Linear independence of Poincaré series, submitted, 2026.
TianyuNi, MiloStammers, HuiXue, and SarahYan. Traces of Rankin-Cohen brackets of Eisenstein series, submitted, 2026.
Tianyu Ni, Milo Stammers, Hui Xue, and Sarah Yan. Linear combinations of cuspidal projections of products of Eisenstein series, submitted, 2026.