Shengtong Zhang (张盛桐)

Papers [arXiv] [Google Scholar]

Combinatorics

Extremal Combinatorics

  1. Uniform Set Systems with Small VC-Dimension Ting-Wei Chao, Zixiang Xu, Chi Hoi Yip, Shengtong Zhang International Mathematics Research Notices (2025).
  2. The Frankl–Pach upper bound is not tight for any uniformity Gennian Ge, Zixiang Xu, Chi Hoi Yip, Shengtong Zhang, Xiaochen Zhao Journal of Combinatorial Theory, Series A (2026).
  3. Triangle Ramsey number of complete graphs Jacob Fox, Jonathan Tidor, Shengtong Zhang Journal of Combinatorial Theory, Series B (2026).
  4. Note on the Turán number of the 3-linear hypergraph C13 Chaoliang Tang, Hehui Wu, Shengtong Zhang, Zeyu Zheng Electronic Journal of Combinatorics (2022).

Spectral Graph Theory

  1. Inertia, independence and expanders Quanyu Tang, Shengtong Zhang, Clive Elphick Bulletin of the London Mathematical Society (2025).
  2. Conic Programming to understand sums of squares of eigenvalues of graphs Gabriel Coutinho, Thomás Jung Spier, Shengtong Zhang Preprint.
  3. Extremal Values for the square energies of graphs Shengtong Zhang Preprint.
  4. More on Nosal's Spectral Theorem: Books and 4-cycles Yongtao Li, Hong Liu, Shengtong Zhang Journal of Combinatorial Theory, Series B (2026).
  5. On the first two eigenvalues of regular graphs Shengtong Zhang Linear Algebra and its Applications (2024).
  6. Graphs with high second eigenvalue multiplicity Milan Haiman, Carl Schildkraut, Shengtong Zhang, Yufei Zhao Bulletin of the London Mathematical Society (2022).

Discrete Geometry

  1. Large point-line matchings and small Nikodym sets Zach Hunter, Cosmin Pohoata, Jacques Verstraete, Shengtong Zhang Preprint.
  2. Colorful Helly via induced matchings Cosmin Pohoata, Kevin Yang, Shengtong Zhang Preprint.
  3. Spherical two-distance sets and eigenvalues of signed graphs Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao Combinatorica (2023).
  4. Equiangular lines with a fixed angle Zilin Jiang, Jonathan Tidor, Yuan Yao, Shengtong Zhang, Yufei Zhao Annals of Mathematics (2021). [MIT News coverage]

Other Topics

  1. Toroidal Hitomezashi Patterns Qiuyu Ren, Shengtong Zhang Discrete Mathematics (2025).
  2. A short proof to Defant and Kravitz's theorem on the length of Hitomezashi loops Qiuyu Ren, Shengtong Zhang Annals of Combinatorics (2024).
  3. A note on the zero-free region of hypergraph independence polynomials Shengtong Zhang Combinatorics, Probability and Computing (2025).
  4. Domination polynomial is unimodal for large graphs with a universal vertex Shengtong Zhang Preprint.
  5. No extremal square-free words over large alphabets Letong Hong, Shengtong Zhang Combinatorial Theory (2022).

Number Theory

  1. Initial log-concavity in power of infinite series close to (1 − z)−1 Shengtong Zhang Research in Number Theory (2022).
  2. Euler–Kronecker constants for cyclotomic fields Letong Hong, Ken Ono, Shengtong Zhang Bulletin of the Australian Mathematical Society (2023).
  3. Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang Letong Hong, Michael H. Mertens, Ken Ono, Shengtong Zhang Proceedings of the AMS (2022).
  4. Proof of the Ballantine–Merca conjecture and theta function identities modulo 2 Letong Hong, Shengtong Zhang Proceedings of the AMS (2025).
  5. Towards Heim and Neuhauser's unimodality conjecture on the Nekrasov–Okounkov polynomials Letong Hong, Shengtong Zhang Research in Number Theory (2021).
  6. A Bombieri–Vinogradov Theorem for primes in short intervals and small sectors Tanmay Khale, Cooper O'Kuhn, Apoorva Panidapu, Alec Sun, Shengtong Zhang Journal of Number Theory (2021).

Secure Messaging

  1. Formal Security Definition of Metadata-Private Messaging Shengtong Zhang, Arvid Lunnemark, Sualeh Asif Preprint.