朱秀武 Xiuwu Zhu

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

Experience:

• 2025-now, 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:

• Main conjectures for non-CM elliptic curves at good ordinary primes
  joint with Xiaojun Yan — Journal of Algebra, accepted, 2026 PDF
• 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
• Qudit classical shadow tomography in arbitrary finite dimensions via minimal IC-POVMs from Weyl-Heisenberg orbit
  joint with Yu Wang — preprint, 2025 PDF