About me 👷 Postdoctoral Fellow 🏫 School of Mathematical Sciences, USTC 🌏 Hefei 230026, Anhui, China 📧 zsxqq (at) mail.ustc.edu.cn My research interests lie in number theory, especially elliptic curves, class groups and character sums. Curriculum Vitae | 个人履历 📍 Where am I: Hefei, confined to bed before November :(

Experience

• 2018/04 - 2023/03 Postdoctoral Fellow (Mentor: Yi Ouyang) USTC
• 2016/03 - 2018/03 Postdoctoral Fellow (Mentor: Ye Tian) AMSS CAS
• 2010/09 - 2015/11 Ph.D. in Mathematics (Advisor: Yi Ouyang) USTC
• 2006/09 - 2010/06 B.S. in Mathematics USTC

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Research

1. On the Newton polygons of twisted $L$-functions of binomials
   S. Zhang. arXiv: 2109.14852 (2021). (幻灯片)
2. The distinctness and generating fields of twisted Kloosterman sums
   S. Zhang. (2021), preprint. (Slide, 幻灯片)
3. The generating fields of two twisted Kloosterman sums
   S. Zhang. (2021), preprint.
4. The $3$-class groups of $\mathbb Q(\sqrt[3]p)$ and its normal closure
   J. Li, S. Zhang. Math Z. (2021), to appear.
5. $\ell$-Class groups of fields in Kummer towers
   J. Li, Y. Ouyang, Y. Xu, S. Zhang. Publ. Mat. (2021), to appear.
6. The virtual periods of linear recurrence sequences in cyclotomic fields
   S. Zhang. arXiv: 2010.08342 (2020).
7. Birch's lemma over global function fields
   Y. Ouyang, S. Zhang. Proc. Amer. Math. Soc. 145 (2017), no. 2, 577-584.
8. Newton polygons of $L$-functions of polynomials $x^d+ax^{d-1}$ with $p\equiv -1\bmod d$
   Y. Ouyang, S. Zhang. Finite Fields Appl. 37 (2016), 285-294.
9. On second 2-descent and non-congruent numbers
   Y. Ouyang, S. Zhang. Acta Arith. 170 (2015), no. 4, 343-360.
10. On non-congruent numbers with 1 modulo 4 prime factors
    Y. Ouyang, S. Zhang. Sci. China Math. 57 (2014), no. 3, 649-658.

Here are some notes.

1. The curve and $p$-adic Hodge theory
   Laurent Fargus, 2019/11/01 - 2020/01/10, MCM Beijing
2. $p$-adic abelian integrals
   Pierre Colmez, 2016/09/14 - 2016/10/26, BICMR Beijing

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Teaching

教学

• 2020年秋 复变函数B 001548.05 📝小测 📝试卷
• 2020年春 代数数论 MA05109 📖讲义 📝试卷 🎥课程视频

助教

• 2016年春 初等数论 📝试卷 📏习题课
• 2013年春 近世代数 📝试卷
• 2012年秋 代数学基础 📝试卷 📏习题课
• 2011年秋 近世代数 📝试卷
• 2011年春 复变函数 📝试卷

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Links

📝 丘成桐大学生数学竞赛 (Yau CSMC) 2010-2017年和部分2018年试题

📗 10000 个科学难题·数学卷

📘 一份不太简短的 $\LaTeX2\varepsilon$ 介绍 6.02版 推荐使用 TeX Live 或 MiKTeX 自带的编辑器 TeXworks

📘 XYpic中文简介 更详细的中文介绍请参考《LaTeX入门与提高》§12.4

📘 李文威: 数学写作漫谈

📘 李文威: 教学实践：经验、反思与构想

📘 How to Give a Good Colloquium - John E. McCarthy

Yi Ouyang (欧阳毅)	Ye Tian (田野)	Wen-Wei Li (李文威)
Xin Wan (万昕)	Xu Shen (申旭)	Yongquan Hu (胡永泉)
Weizhe Zheng (郑维喆)	Yiwen Ding (丁一文)	Liang Xiao (肖梁)
Xinyi Yuan (袁新意)	Ruochuan Liu (刘若川)	Chenyang Xu (许晨阳)
Daqing Wan (万大庆)	Wei Zhang (张伟)	Zhiwei Yun (恽之玮)
Chao Li (李超)	Yihang Zhu (朱艺航)	Tonghai Yang (杨同海)
Henri Darmon	Laurent Fargues	Vincent Lafforgue
Jie Shu (舒杰)	Jianing Li (李加宁)	Yue Xu (许跃)
Yanbing Zhao (赵彦冰)	Guohuan Qiu (邱国寰)	Yijun Yuan (袁轶君)

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MathSciNet	Zentralblatt MATH	MSC2020
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MathOverflow	Gitee	GitHub
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