Math-GA 2140.001: Algebra II, Mo. and Wed. 11am, WWH 517
Office hours:
- Mo 12:15pm or by appointment
Homework:
Syllabus:
Basic notions of algebra: groups, rings, and fields
Symmetric groups, linear groups
Structure theorems, representation theory
Algebraic number fields, finite fields, field extensions
Galois theory
Polynomial rings, unique factorization
Ideals
Rings, modules
Cohomology
Grading:
- Homework: 10%
- Midterm 1 March 10: 20%
- Midterm 1 April 2: 20%
- Final May 5: 50%
Recommended books:
- M. Artin, Algebra, Pearson Education
- A. Chambert-Loir, A Field guide to Algebra, Springer