“Algebra”, 2012.2-2012.6

Part I. Modules over PID

Part II. Wedderburn-Artin Theorem

Part III. Representations of Finite Groups

Part IV. Basic Commutative Algebra

“Modern algebra”, 2010.9-2011.1 (joint with Bailin Song)

Part I. Group theory

Part II. Rings and fields

Part III. Galois theory, an introduction

“Homological algebra”, 2008.2-2008.6

Part I. Projective modules, injective modules, flat modules; categories and functors

Part II. Ext, Tor functors and short exact sequences, Yext functors

Part III. Cohomology theory of groups, Lie algebras and algebras

Part IV. Spectral sequences

“Representation theory of groups and algebras”, 2007.9-2008.1

Part I: On groups and linear algebra, 6 courses.

Pat II: On representation theory of groups, character theory, 18 courses.

Part III: On modules of algebras, Wedderburn-Artin theory, induced representations, 18 courses.

Part IV: On representations of compact groups, 18 courses.

For suggestions and comments, contact xwchen@mail.ustc.edu.cn