MATH3040 - Fields and Galois Theory - 2022/23

Course Year: 


  • Syllabus [Download file]
  • All course information, assignments and lecture notes are available on Blackboard.

General Information


  • Michael McBreen
    • Office: 235 Lady Shaw Building
    • Email:

Course Description

This course is an introduction to the theory of field extensions and Galois theory. It is one of the continuations of MATH3030 (the other being MATH4080).

Topics include: field extensions, algebraic extensions, algebraic closures, geometric constructions, finite fields, splitting fields, separable and inseparable extensions, Galois extensions, Galois correspondences, cyclotomic extensions, solvability by radicals, etc.

Students are expected to have knowledge in MATH2040, MATH2070 and MATH3030, or equivalent.

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: January 08, 2023 17:51:32