ZHANG Shenxing

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, character sums. Curriculum Vitae | 个人履历

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. The distinctness and generating fields of twisted Kloosterman sums
   (2021), submitted.
2. The generating fields of two Kloosterman sums
   (2021), submitted.
3. The 3-class groups of Q(∛p) and its normal closure
   with J. Li. Math Z. (2021), to appear.
4. The virtual period of the degree sequences of the exponential sums
   ArXiV:2010.08342 (2020).
5. 𝓁-Class groups of fields in Kummer towers
   with J. Li, Y. Ouyang and Y. Xu. Publ. Mat. (2020), to appear.
6. Birch's lemma over global function fields
   with Y. Ouyang. Proc. Amer. Math. Soc. 145 (2016), no. 2, 577-584.
7. Newton polygons of L-functions of polynomials x^d+ax^d-1 with p≡-1mod d
   with Y. Ouyang. Finite Fields Appl. 37 (2016), 285-294.
8. On second 2-descent and non-congruent numbers
   with Y. Ouyang. Acta Arith. 170 (2015), no. 4, 343-360.
9. On non-congruent numbers with 1 modulo 4 prime factors
   with Y. Ouyang. 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

📚 Teaching

• 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

📒 Teaching Assistant

• 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 LaTeX2ε 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

Yi Ouyang (欧阳毅)	Ye Tian (田野)	Wen-Wei Li (李文威)
Yiwen Ding (丁一文)	Liang Xiao (肖梁)	Yifeng Liu (刘一峰)
Henri Darmon	Laurent Fargues	Vincent Lafforgue
Chao Li (李超)	Xu Shen (申旭)	Yongquan Hu (胡永泉)
Daqing Wan (万大庆)	Ruochuan Liu (刘若川)	Wei Zhang (张伟)
Jianing Li (李加宁)	Jie Shu (舒杰)	Yanbing Zhao (赵彦冰)
Guohuan Qiu (邱国寰)	Wanjun Ai (艾万君)	Yijun Yuan (袁轶君)

NUMDAM	DigiZ	Z-Library
MathSciNet	Zentralblatt MATH	MSC2020
LetPub - 期刊查询及投稿分析系统
LMFDB - the L-functions and modular forms database
Math Genealogy - 数学家谱网
MathOverflow - 数学问答网站
原版模组更多的合成	原版模组入门教程
Gitee 镜像	GitHub 镜像