许跃 Yue Xu

My research interests lie in Number Theory and Arithmetic Statistics, focusing on arithmetic properties of ideal class groups of number fields, elliptic curves, and their distribution, including problems related to the Cohen-Lenstra heuristics.

Education：

• 2021-2024, Postdoctoral Fellow, Morningside Center of Mathematics, Chinese Academy of Sciences (Mentor: Ye Tian)
• 2015-2021, Ph.D. in Pure Mathematics, University of Science and Technology of China (Advisor: Yi Ouyang)
• 2011-2015, B.S. in Mathematics, Xidian University

• Error term in the Cohen-Lenstra heuristic via random matrix approach (with Xiuwu Zhu) - SCIENCE CHINA-MATHEMATICS, 2025, online
• On abelian 2-ramification torsion modules of quadratic fields (with Jianing Li and Yi Ouyang) - SCIENCE CHINA-MATHEMATICS, 2022, 65(12): 2459-2482
• l-class groups of fields in Kummer towers (with Jianing Li, Yi Ouyang and Shenxing Zhang) - PUBLICACIONS MATEMATIQUES, 2022, 66(1): 235-267
• Abelian p-ramification groups and new Cohen-Lenstra heuristics (with Jianing Li, Yi Ouyang) - SCIENTIA SINICA Mathematica, 2021, 51(10): 1635
• On class numbers of pure quartic fields (with Jianing Li) - RAMANUJAN JOURNAL, 2021, 56(1): 235-248

• Undergraduate Courses:
  • Advanced Algebra I (Fall 2025)
• Graduate Courses:
  • Advanced Modern Algebra (Fall 2025)

• MathSciNet - Mathematical literature database
• arXiv: Number Theory - Preprint server
• GitHub