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      中科院数学所      基础数学      博士
  • 2006 - 2010      武汉大学      数学基地班      学士

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] Y. X. Li, Y. Liu and Y. 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)
  • [2] L. T. Deng and Y. X. 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)
  • [3] Y. X. 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)
  • [4] Y. X. Li, Selmer groups of certain abelian varieties with complex multiplication, Acta Arith. , 203 (2022), no. 4, 289–305 (2022)
  • [5] J. Coates, J. N. Li and Y. X. Li, Classical Iwasawa theory and infinite descent on a family of abelian varieties, Selecta Math. (N.S.), 27 (2021), no. 2 (2021)
  • [6] J. Choi and Y. X. Li, Quadratic twists of X_0(14), J. Number Theory , 224 (2021), 142–164 (2021)
  • [7] J. Coates and Y. X. 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)
  • [8] Y. Kezuka and Y. X. Li, 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)
  • [9] J. Choi, Y. Kezuka and Y. X. 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)
  • [10] L. Cai, Y. X. Li and Z. J. Wang, Special automorphisms on Shimura curves and non-triviality of Heegner points, Sci. China Math. , 59 (2016), no. 7, 1307–1326 (2016)
  • [11] J. Coates, Y. X. Li, Y. Tian and S. Zhai, Quadratic twists of elliptic curves, Proc. Lond. Math. Soc. (3) , 110 (2015), no. 2, 357-394 (2015)

 

更新时间: 2025-05-20 15:34:25