朱秀武 Xiuwu Zhu

My research focuses on number theory, particularly the arithmetic of elliptic curves, the distribution of arithmetic invariants, and related applications.

I am also open to interdisciplinary collaborations, especially in areas connecting artificial intelligence and mathematics, such as AI for Mathematics. Please feel free to contact me by email if you are interested in potential collaborations.

Experience:

• 2025–present, Assistant Professor, Beijing Institute of Mathematical Sciences and Applications
• 2022–2025, Postdoctoral Fellow, Yau Mathematical Sciences Center, Tsinghua University & Beijing Institute of Mathematical Sciences and Applications
• 2016–2022, Ph.D. in Pure Mathematics, Academy of Mathematics and Systems Science, CAS (Advisor: Ye Tian)
• 2012–2016, B.S. in Mathematics, Sichuan University

In reverse chronological order:

• Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields
  joint with Yue Xu — preprint, 2026 PDF
• Main conjectures for non-CM elliptic curves at good ordinary primes
  joint with Xiaojun Yan — Journal of Algebra, online, 2026 PDF DOI
• On the Birch-Swinnerton-Dyer conjecture for rational elliptic curves with complex multiplication and analytic rank one
  joint with Yongxiong Li, Ye Tian, and Xiaojun Yan — Pure and Applied Mathematics Quarterly, online, 2025 PDF DOI
• New optimal function field towers over finite fields of quartic power
  joint with Chuangqiang Hu — preprint, 2025 PDF
• Error term in the Cohen-Lenstra heuristic via random matrix approach
  joint with Yue Xu — Science China Mathematics, 2025 PDF DOI
• Rubin's conjecture on local units in the anticyclotomic tower at inert primes: \(p = 3\) case
  joint with Xiaojun Yan — Ramanujan Journal, 2025 PDF DOI
• A single fixed shallow circuit for classical shadows of arbitrary \(n\)-qubit states
  joint with Yu Wang — preprint, 2026 PDF
• Uniformly stable minimal Weyl–Heisenberg measurements approaching the SIC benchmark
  joint with Yu Wang — preprint, 2026 PDF