2023 Clemson REU in Number Theory | June 5- July 28, 2023                                      

• 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, submitted, 2024.

2024 Clemson REU in Number Theory | June 2- July 26, 2024

• June Kayath, Connor Lane, Ben Neifeld, Tianyu Ni, and Hui Xue. Subspaces spanned by eigenforms with nonvanishing twisted central L-values, submitted, 2024.

• 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.

2025 Clemson REU in Number Theory | June 2- July 25, 2025

• Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, and Amanda Yin. Explicit generators of the space of modular forms, submitted, 2025.

• Abby Linscott, Tianyu Ni, Ish Shah, and Hui Xue. Shimura Lifts of nearly holomorphic modular forms, submitted, 2025.