BIMSA > Yongxiong Li
Associate Professor Yongxiong Li

Group: Number Theory and Representation Theory

Office: A11-102

Email: liyongxiong@bimsa.cn

Research Field: Number Theory

CV

Biography

Yongxiong Li, obtained a Ph.D. in Number theory from the Institute of Mathematics (CAS) . Before becoming an associate professor in BIMSA, he was an assistant professor in YMSC, Tsinghua University. His research lies in number theory, with particular interests in the arithmetic of elliptic curves, special values of L-functions and Iwasawa theory.

Research Interest

  • Arithmetic of elliptic curves
  • Special values of L-functions
  • Iwasawa theory

Education Experience

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

Work Experience

  • 2018 - 2024      Tsinghua University      Assistant Professor
  • 2015 - 2018      Tsinghua University      PostDoc

Publication

  • [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 Arithmetica, 203, 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 Mathematica, 27, 1-36 (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, Science China Mathematics, 59, 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)
  • [12] YX Li, On the mu-invariant of two-variable 2-adic-functions, GLASGOW MATHEMATICAL JOURNAL (2025)
  • [13] Y Kezuka, YX Li, Non‐vanishing of central L L‐values of the Gross family of elliptic curves, Journal of the London Mathematical Society, 111(6), e70192 (2025)
  • [14] LT Deng, Y Kezuka, YX Li, MF Lim, Non-commutative Iwasawa theory of abelian varieties over global function fields, arXiv (2024)
  • [15] YX Li, Some remarks on-adic-functions for certain abelian varieties with complex multiplication, International Journal of Number Theory, 20(1), 159-184 (2024)
  • [16] Y Kezuka, YX Li, Non-vanishing of central$L$-values of the Gross family of elliptic curve, arXiv (2023)
  • [17] LT Deng, YX Li, S Zhai, Quadratic forms, -groups and -values of elliptic curves, arXiv (2023)
  • [18] Y Kezuka, Y Li, A Classical Family of Elliptic Curves having Rank One and the$2$-Primary Part of their Tate-Shafarevich Group Non-Trivial, Documenta Mathematica, 25, 2115-2147 (2020)
  • [19] J Coates, Y Li, Non‐vanishing theorems for central$L$‐values of some elliptic curves with complex multiplication, Proceedings of the London Mathematical Society, 121(6), 1531-1578 (2020)
  • [20] J Choi, Y Kezuka, Y Li, Analogues of Iwasawa's$\mu=0$conjecture and the weak Leopoldt conjecture for a non-cyclotomic$\mathbb{Z}_2$-extension, arXiv (2017)
  • [21] Y Li, Y Liu, Y Tian, On The Birch and Swinnerton-Dyer Conjecture for CM Elliptic Curves over $\BQ$, arXiv (2016)
  • [22] YX Li, On the-functions, Glasgow Mathematical Journal, 1-31 (2003)

 

Update Time: 2025-08-11 17:00:09