Abstract Algebra
Mathematics 552 — Spring 2025
Math 552 is the second semester of the standard introductory graduate
algebra course. A significant portion of the course is devoted to the
theory of field extensions, including Galois theory, rings of
polynomials, Nullstellensatz, intro to homological algebra, structure
of Artin rings. Additional
topics are chosen in part based on the interests of the students.
Notices and assignments will appear on this page.
Instructor:
Charles Weibel Office Hours: MTF 1:40-3:00 in H218
Text:
Algebra, by Thomas Hungerford, Graduate Texts in Mathematics, Springer
Lectures: TF2 (10:20 to 11:40 AM) in Hill 423.
Tentative Syllabus
- Galois Theory: Chapters 5-6 (Jan.21-Feb.21; 10 lectures)
- Midterm (Feb. 25)
- Commutative rings/modules: Chapters 7,8 (Feb.28-Mar.14; 5 lectures)
- Spring Break (March 15-23)
- Homological algebra: Chapter 10 (Mar.25-April 11; 6 lectures)
- Midterm (April 15)
- Group representations: Chapter 9 (April 18-May 2; 5 lectures)
Group representation supplement
- Last class May 2; all RU Classes end Monday May 5
- Final exam Wed. May 7, 8-11 AM
Homework Assignments
(assigned weekly, due on Canvas by 6PM Friday)
| Due | Assigned Problems |
| 1/28 | TK
|
| 4/25 |
|
| 5/2 | (Classes end) |
|
Last modified 1/1/25
Charles Weibel / Spring 2025