许跃 Yue Xu

Lecturer | School of Mathematics and Statistics, Xidian University

Yue Xu（英文照片）

个人信息 About Me

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

论文发表 Publications

Selected publications (in reverse chronological order):

  • 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
  • On class numbers of pure quartic fields (with Jianing Li) - RAMANUJAN JOURNAL, 2021, 56(1): 235-248

授课情况 Teaching

  • Undergraduate Courses: Linear Algebra I (Fall 2025)

随笔 Notes

For any prime \( p \), \( \prod\limits_{i=1}^{\infty}(1-p^{-i}) \) is transcendental.

有用链接 Useful Links