Advanced Algebra I (Fall 2021)
PKU, Yanyuan campus. Course ID: 00132321-3.
References: Lecture notes and 丘维声《高等代数》第三版上册 (Higher Education Press, 2015).
The grading is based on homework and two [Exams].
Modular Form and Number Theory (Spring 2021)
PKU, Yanyuan campus. Course ID: 00113180.
References: 李文威《模形式初步》(Science Publishing, 2019), plus some other references.
Linear algebra B (Fall 2020)
PKU, Yanyuan campus. Course ID: 00131460.
References: 丘维声《简明线性代数》(PKU Press, 2002), lecture notes, or other references.
Topics in representation theory (Spring 2020)
PKU, Yanyuan campus. Course ID: 00102930.
The main topic is Deligne-Lusztig theory for the characters of finite groups of Lie type. Basic backgrounds in representation theory are assumed. The grading is based on the homeworks PDF.
Main reference: F. Digne, J. Michel, Representations of Finite Groups of Lie Type (Cambridge University Press, 1991). The notes will appear elsewhere.
Modular forms and number theory (Fall 2019)
Commutative ring theory (Spring 2019)
PKU, Yanyuan campus. Part of the Enhanced Program for Graduate Study. [Exercises + Exam]
Undergraduate seminar on algebra (Fall 2018)
PKU, Yanyuan campus. On Fridays 10 - 12 at Quan 29 (somewhat irregularly).
The topics are selected from E. Bombieri and W. Gubler. Heights in Diophantine geometry. Cambridge University Press (2006), together with the relevant materials from algebraic number theory and algebraic geometry.
Introduction to modular forms (Spring 2018) - [CANCELLED]
UCAS, Yuquanlu campus. Course ID: B13009Y.
Algebra (Fall 2017)
Basic representation theory (Summer 2017)
UCAS, Yuquanlu campus. Course ID: 011M7021Y.
Introduction to modular forms (Fall 2016)
UCAS, Yanqi Lake campus. Course ID: B13009H.
Algebra III (Spring 2016)
Algebra (Fall 2015)
Geometry, sheaves and representation theory (Spring 2015)
UCAS, Zhongguancun campus. Course ID: 219044Z*.
Algebra I (Fall 2014)
UCAS, Yanqi Lake campus. Course ID: 210002H.
Algebra II (Fall 2013)
UCAS, Yanqi Lake campus. Course ID: 211003H.