# Past courses

## 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.