Haoran Zhu

haoran_zhu.jpg

SPMS-MAS-04-02

Nanyang Technological University

Singapore

I am a PhD student in Mathematics at Nanyang Technological University, working under the supervision of Professor Gary Greaves. My research lies at the interface of combinatorics, probability, and mathematical physics.

I have always enjoyed building theory by solving problems; now I am learning to solve problems by building theory.

For any of my papers that carry an AI-use statement, I take full responsibility for the work and give up all credit for it.

For some projects, I’ll stick to the old-fashioned way, with no AI at all. I think it’s time I kept a bit of the fun for myself.

Education

  • PhD student in Mathematics 2025–present
    Nanyang Technological University
  • B.Sc. in Mathematics and Applied Mathematics 2020–2024
    Northeastern University

Research Interests

  • Combinatorics
  • Probability Theory
  • Mathematical Physics

Selected publications

News

Nov 05, 2026 I gave a talk as part of Topics in Scientific Computation II at NTU.
Oct 11, 2026 I attended the International Combinatorial Conference at Hebei Normal University, Shijiazhuang, on 17–19 October 2026 and gave a contributed talk.
Sep 18, 2026 My paper Twisted derivations on arithmetic schemes, Kummer covers, and the Larsson conjecture appeared in Journal of Number Theory.
Sep 03, 2026 New preprint: Universal Plücker positivity and the Octopus inequality.
Jul 03, 2026 My paper A new PBW basis for the alternating central extension of the $q$-Onsager algebra appeared in Nuclear Physics B.
May 15, 2026 New preprint with Gary Greaves: A proof of Haemers’ toughness conjecture.
May 01, 2026 New preprint with Chi Zhang: The Hurwitz sum-of-squares problem depends on the base field.
Mar 27, 2026 New preprint with Gary Greaves: Spectral gap of biased adjacent-transposition chains.
Mar 18, 2026 I gave a talk as part of the Graduate Seminar in Discrete Mathematics at NTU.
Feb 15, 2026 New preprint with Gary Greaves and Naihuan Jing: Vertex operators, infinite wedge representations, and correlation functions of the $t$-Schur measure.
Jan 01, 2026 I began my PhD in Mathematics at Nanyang Technological University under the supervision of Gary Greaves.
Mar 01, 2025 I joined Nanyang Technological University as a Project Officer, working on Schur rings and cyclotomy.