Research Area 研究领域

• Algebraic number theory and Computational number theory. More specifically, Ideal class groups and Iwasawa theory. My research statement
代数数论，计算数论。
• Cryptography. The existence problems of generalized bent functions. 密码学。 广义bent函数的存在性问题。

Preprints

• (with Songsong Li, Yi Ouyang) Factorization of Hilbert class polynomials over prime fields. (arXiv:2108.00168).

Published and Accepted papers

• On the λ-invariant of Selmer groups arising from certain quadratic twists of Gross curves. pdf Tokyo Journal of Mathematics (to appear).
• (with Yi Ouyang, Yue Xu) On abelian 2-ramification torsion modules of quadratic fields. Science China. Mathematics (Online) https://doi.org/10.1007/s11425-021-1946-0
• (with Shenxing Zhang) The 3-class groups of $\mathbf{Q}(\sqrt[3]{p})$ and its normal closure. Mathematische Zeitschrift. Volume 300(1) (2022) 209–215 doi.
• (with Yi Ouyang, Yue Xu, Shenxing Zhang) $\ell$-Class groups of fields in Kummer tower. Publicacions Matemàtiques Volume 66, Issue 1 (2022) pp.235-267. (doi)
• On 2-adic logarithm of units of pure imaginary quartic fields. Asian Journal of Mathematics Vol. 25, No. 2, pp. 177–182 (2021) A stronger unpublished version
• (with John Coates, Yongxiong Li) Classical Iwasawa theory and infinite descent on a family of abelian varieties. Selecta Math. (N.S.) Vol 27 (2021), no. 2, Paper No. 28, 36 pp doi.
• (with Yue Xu) On class numbers of pure quartic fields. Ramanujan Journal Vol 56, no.1, 235–248 (2021) doi.
• (with Chia-Fu Yu) The Chevalley-Gras formula over global fields. Journal de Théorie des Nombres de Bordeaux, vol. 32, no. 2, pp. 525-543. (2020)
• (with Yingpu Deng) Nonexistence of two classes of generalized bent functions. Designs, Codes and Cryptography. vol. 85, no. 3, pp. 471-482 (2017). doi.
• (with Chang Lv) On the Non-Existence of Certain Classes of Generalized Bent Functions. IEEE Transactions on Information Theory, vol. 63, no. 1, pp. 738-746, Jan. 2017. doi.