BIMSA > 李永雄
副研究员 李永雄

团队: 数论和表示论

办公室: A11-102

邮箱: liyongxiong@bimsa.cn

研究方向: 数论

CV

个人简介

李永雄在2015年获得中科院数学所博士学位。研究方向包括椭圆曲线的算术、L-函数的特殊值以及Iwasawa 理论。

研究兴趣

  • 椭圆曲线的算术
  • L-函数的特殊值
  • Iwasawa 理论

教育经历

  • 2010 - 2015      Institute of Mathematics      Mathematics      Ph.D
  • 2006 - 2010      Wuhan University      Mathematics      B.Sc.

工作经历

  • 2018 - 2024      清华大学      助理教授
  • 2015 - 2018      清华大学      博士后

出版物

  • [1] Li-Tong Deng, Yukako Kezuka, Yong-Xiong Li, Meng Fai Lim , Noncommutative Iwasawa theory of abelian varieties over global function fields, Journal of the Australian Mathematical Society , Volume 120(Issue 2), 183-217 (2026)
  • [2] Yong-Xiong Li, On the μ-invariant of two-variable 2-adic L-functions., Glasg. Math. J. , 67(No. 3), 325-355 (2025)
  • [3] Yong-Xiong Li and Yukako Kezuka, Non-vanishing of central L-values of the Gross family of elliptic curves, J. Lond. Math. Soc. (2), 111(No. 6) (2025)
  • [4] Yong-Xiong Li, Yu Liu and Ye Tian, 有理数域上带复乘椭圆曲线的 Birch-Swinnerton-Dyer 猜想, 中国科学: 数学, 第54卷(第9期), 1283-1296 (2024)
  • [5] Li-Tong Deng and Yong-Xiong Li, An application of Birch-Tate formula to tame kernels of real quadratic number fields, Proc. Indian Acad. Sci. Math. Sci., 134 (2024), no. 2 (2024)
  • [6] Yong-Xiong Li, Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication, Int. J. Number Theory, 20 (2024), no. 1, 159–184 (2024)
  • [7] Yong-Xiong Li, Selmer groups of certain abelian varieties with complex multiplication, Acta Arithmetica, 203, 289-305 (2022)
  • [8] John Coates, Jianing Li and Yong-Xiong Li, Classical Iwasawa theory and infinite descent on a family of abelian varieties, Selecta Mathematica, 27, 1-36 (2021)
  • [9] Junhwa Choi and Yong-Xiong Li, Quadratic twists of X_0(14), J. Number Theory , 224 (2021), 142–164 (2021)
  • [10] John Coates and Yong-Xiong Li, Non-vanishing theorems for central L-values of some elliptic curves with complex multiplication, Proc. Lond. Math. Soc. (3) , 121 (2020), no. 6, 1531–1578 (2020)
  • [11] Yong-Xiong Li and Yukako Kezuka, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. , Doc. Math. , 25 (2020), 2115–2147 (2020)
  • [12] Junhwa Choi, Yukako Kezuka and Yong-Xiong Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic Z_2-extension., Asian J. Math., 23 (2019), no. 3, 383–400 (2019)
  • [13] Yong-Xiong Li, Li Cai and Zhangjie Wang, Special automorphisms on Shimura curves and non-triviality of Heegner points, Science China Mathematics, 59, 1307-1326 (2016)
  • [14] John Coates, Yong-Xiong Li, Ye Tian and Shuai Zhai, Quadratic twists of elliptic curves, Proc. Lond. Math. Soc. (3) , 110 (2015), no. 2, 357-394 (2015)

 

更新时间: 2026-03-26 18:00:09