Research Area 研究领域

• Algebraic number theory and Computational number theory. More specifically, Ideal class groups and Iwasawa theory.
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

• None

Published and Accepted papers

• (with Gaohao Cui, Jincheng Zhuang) Improved analysis of ideal shortest vector over rational primes in power-of-two cyclotomic fields. 2026 IEEE International Symposium on Information Theory (ISIT), 2026. doi. Full version: arXiv:2601.07511
• Stabilization on ideal class groups in potential cyclic towers. Pure and Applied Mathematics Quarterly. Published online: 5 June 2025. doi
• On the λ-invariant of Selmer groups arising from certain quadratic twists of Gross curves. Tokyo Journal of Mathematics. 46 (2) 339 - 354, December 2023. https://doi.org/10.3836/tjm/1502179379
• (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 Asian Journal of Mathematics Vol. 25, No. 2, pp. 177–182 (2021) A stronger unpublished version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.
• (与欧阳毅、许跃合作) Abel p- 分歧扭子群和新 Cohen-Lenstra 猜想. 中国科学 : 数学 2021 年 第 51 卷 第 10 期 : 1635 ∼ 1654. doi
• (与欧阳毅、李宋宋合作) Hilbert 类多项式在素域 Fp 上的分解. 中国科学 : 数学 2024 年 第 54 卷 第 9 期 : 1265 ∼ 128. doi