Shengtong Zhang's Website

Combinatorics Papers (* indicates preprints)

1. Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao

Equiangular lines with a fixed angle.  Annals of Mathematics (2021).

MIT News Coverage

2. *Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao

Spherical two-distance sets and eigenvalues of signed graphs. Combinatorica (2023).

3. Milan Haiman, Carl Schildkraut, Shengtong Zhang, Yufei Zhao

Graphs with high second eigenvalue multiplicity.  Bulletin of the London Mathematical Society (2022). 

4. Letong Hong, Shengtong Zhang

No extremal square-free words over large alphabets.  Combinatorial Theory (2022).

5. Chaoliang Tang, Hehui Wu, Shengtong Zhang, Zeyu Zheng

Note on the Turan number of the 3-linear hypergraph C_{13}.  Electronic Journal of Combinatorics (2022).

6. *Shengtong Zhang

Domination polynomial is unimodal for large graphs with a universal vertex. 

7. Shengtong Zhang

     A note on the zero-free region of hypergraph independence polynomials. Combinatorics, Probability and Computing (2025).

8. Qiuyu Ren, Shengtong Zhang

A short proof to Defant and Kravitz's theorem on the length of Hitomezashi loops. Annals of Combinatorics (2024).

9. Qiuyu Ren, Shengtong Zhang

     Toroidal Hitomezashi Patterns. Discrete Mathematics (2025).

10. Shengtong Zhang

On the first two eigenvalues of regular graphs. Linear Algebra and its Applications (2024).

11. *Jacob Fox, Jonathan Tidor, Shengtong Zhang

Triangle Ramsey number of complete graphs

12. *Yongtao Li, Hong Liu, Shengtong Zhang

    More on Nosal's Spectral Theorem: Books and 4-cycles 

13. *Shengtong Zhang

    Extremal Values for the square energies of graphs

14. *Gabriel Coutinho, Thomás Jung Spier, Shengtong Zhang

    Conic Programming to understand sums of squares of eigenvalues of graphs

15. *Gennian Ge, Zixiang Xu, Chi Hoi Yip, Shengtong Zhang, Xiaochen Zhao

The Frankl-Pach upper bound is not tight for any uniformity. Journal of Combinatorial Theory, Series A (2026).

Number Theory Papers (* indicates preprints)

1. Tanmay Khale, Cooper O’Kuhn, Apoorva Panidapu, Alec Sun, Shengtong Zhang

A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors. Journal of Number Theory (2021).

2. Letong Hong, Shengtong Zhang

Towards Heim and Neuhauser’s unimodality conjecture on the Nekrasov–Okounkov polynomials.  Research in Number Theory (2021).

3. Letong Hong, Shengtong Zhang

Proof of the Ballantine-Merca conjecture and theta function identities modulo 2.  Proceedings of the AMS (2025).

4. Letong Hong, Michael H. Mertens, Ken Ono, Shengtong Zhang

Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang.  Proceedings of the AMS (2022).

5. Letong Hong, Ken Ono, Shengtong Zhang

    Euler-Kronecker constants for cyclotomic fields. Bulletin of the Australian Mathematical Society (2023).

6. Shengtong Zhang

    Initial log-concavity in power of infinite series close to (1 - z)^{-1}. Research in Number Theory (2022).

Secure Messaging

1. *Shengtong Zhang, Arvid Lunnemark, Sualeh Asif

Formal Security Definition of Metadata-Private Messaging.