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:

• 2022-now, Postdoctoral Fellow, Beijing Institute of Mathematical Sciences and Applications
• 2016-2022, Ph.D. in Pure Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences (Advisor: Ye Tian)
• 2012-2016, B.S. in Mathematics, Sichuan University

In reverse chronological order:

• Error term in the Cohen-Lenstra heuristic via random matrix approach (joint with Yue Xu) - SCIENCE CHINA-MATHEMATICS, 2025, online
• Rubin's conjecture on local units in the anticyclotomic tower at inert primes: p = 3 case (joint with Xiaojun Yan) - RAMANUJAN JOURNAL,2025
• On the Birch-Swinnerton-Dyer conjecture for rational elliptic curves with complex multiplication and analytic rank on (joint with Yongxiong Li, Ye Tian and Xiaojun Yan) - preprint, 2025
• Qudit classical shadow tomography in arbitrary finite dimensions via minimal IC-POVMs from Weyl-Heisenberg orbit (joint with Yu Wang) - preprint, 2025
• Main conjectures for non-CM elliptic curves at good ordinary primes (joint with Xiaojun Yan) - preprint, 2024

• BIMSA - Beijing Institute of Mathematical Sciences and Applications
• MathSciNet - Mathematical literature database
• arXiv: Number Theory - Preprint server
• Li Cai | Yangyu Fan | Chao Li | Wenwei Li | Yongxiong Li | Ye Tian | Liang Xiao | Yue Xu | Shenxing Zhang |