Past courses
Topics in Representation Theory II (Spring 2024)
PKU, Yanyuan campus. Course ID: 00102663.
The topic is about representation theory of real or p-adic groups and automorphic representations.
Topics in Representation Theory I (Fall 2023)
PKU, Yanyuan campus. Course ID: 00102930.
The topic is about automorphic forms.
Advanced Algebra II (Spring 2023)
PKU, Yanyuan campus. Course ID: 00132323-3.
References and grading: as before. [Exams]
Advanced Algebra I (Fall 2022)
PKU, Yanyuan campus. Course ID: 00132321-2.
References and grading: as before. [Exams]
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.
The grading is based on the really easy take-home [Exam 1] and [Exam 2].
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)
PKU, Yanyuan campus. The course will presumably be based on my notes. [Take-home Exams]
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)
UCAS, Yuquanlu campus. Course ID: B12001Y-01. [Solutions to the midterm] [Solutions to the final term]
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)
UCAS, Yuquanlu campus. Course ID: 011M4002Y. [Lecture notes] [Hints to the final exam]
Algebra (Fall 2015)
UCAS, Yuquanlu campus. Course ID: B12001Y. [Solutions to the midterm] [Solutions to the final exam]
Geometry, sheaves and representation theory (Spring 2015)
UCAS, Zhongguancun campus. Course ID: 219044Z*.
Algebra I (Fall 2014)
UCAS, Yanqi Lake campus. Course ID: 210002H.
[Lecture notes] [Solutions to the exam]
Algebra II (Fall 2013)
UCAS, Yanqi Lake campus. Course ID: 211003H.
