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个人信息Personal Information
教授 博士生导师 硕士生导师
性别：男
毕业院校：山东大学
学历：研究生(博士)毕业
学位：理学博士学位
所在单位：数据科学研究院
入职时间：2019-08
学科：基础数学
办公地点：明德楼C701
联系方式：
模形式基础 2026
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Spring 2026, Jinan
Time and Place:
Wednesday 14:00-17:00, 逸夫信息楼 B411.
Instructors:
Bingrong Huang, Yongxiao Lin, Zhao Xu, and Shuai Zhai.
Prerequisites:
Basic Analytic Number Theory and Complex Analysis.
Syllabus:
We plan to give lectures on modular forms in this semester. We will use the following book:
[Iw] Iwaniec, Henryk. Topics in classical automorphic forms. Graduate Studies in Mathematics, 17. American Mathematical Society, Providence, RI, 1997. xii+259 pp.
See also:
[Serre] Serre, J.-P. A course in arithmetic. Translated from the French. Graduate Texts in Mathematics, No. 7. Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp.
[Bump] Bump, Daniel. Automorphic forms and representations. Cambridge Studies in Advanced Mathematics, 55. Cambridge University Press, Cambridge, 1997. xiv+574 pp. 第一章
[Sarnak] Sarnak, Peter. Some applications of modular forms. Cambridge Tracts in Mathematics, 99. Cambridge University Press, Cambridge, 1990. x+111 pp.
Schedule:
| Date | Speaker | Title | References |
| March 04 | Huang | Modular forms | [Iw] Chapter 1 |
| March 11 | Huang | Modular forms | [Iw] Chapter 1 |
| March 18 | Huang | Classical automorphic forms | [Iw] Chapter 2 |
| March 25 | Huang | Classical automorphic forms | [Iw] Chapter 2 |
| April 01 | Lin | Eisenstein & Poincare series | [Iw] Chapter 3 |
| April 08 | Lin | Kloosterman sums | [Iw] Chapter 4 |
| April 15 | Lin | Fourier coefficients | [Iw] Chapter 5 |
| April 22 | Lin | Fourier coefficients | [Iw] Chapter 5 |
| April 29 | Xu | Hecke operators | [Iw] Chapter 6 |
| May 06 | Xu |
Hecke operators | [Iw] Chapter 6 |
| May 13 | Xu | L-functions | [Iw] Chapter 7 |
| May 20 | Xu |
L-functions | [Iw] Chapter 7 |
| May 27 | Zhai | Elliptic curves | [Iw] Chapter 8 |
| June 03 | Zhai | Elliptic curves | [Iw] Chapter 8 |
| June10 | Zhai | Automorphic forms/K | [Iw] Chapter 12 |
| June 17 | Zhai | Automorphic forms/K | [Iw] Chapter 12 |
| June 24 | Huang | Rankin-Selberg | [Iw] Chapter 13 |
Contact:
Bingrong Huang (Email: brhuang (AT) sdu.edu.cn; Office: Mingde Building C701)