Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wed 1-4pm in Math 3-115
Grader: John Sheridan
Grader's office hours: Thu 1-2pm in Math 2-118, Tue 1-2pm and Wed 12-1pm in the MLC
Feel free to send me an e-mail or drop by my office with questions.
The main goal of this course is to study in detail fundamental concepts and
methods of algebra that are used in all branches of mathematics. During the
second term we cover elements of homological algebra, field theory and
foundations of algebraic geometry. We also study Galois theory and
representations of finite groups.
HW 1 (due on Feb 1): [DF] 10.5. Problems 4, 8, 14 and 17
HW 2 (due on Feb 8): [DF] 17.1. Problems 2, 3, 4 and 5
HW 3 (due on Feb 15): [DF] 17.1. Problems 7, 10, 12 and 13
HW 4 (due on Feb 22): [DF] 13.1. Problem 8, 13.2. Problems 1, 7 and 10
HW 5 (due on March 1): [DF] 13.2. Problems 19, 20 and 21, 13.3. Problem 5
HW 6 (due on March 8): [DF] 13.4. Problem 5, 13.5. Problems 6 and 11, 13.6. Problem 8
Midterm: Monday, March 20, in class.
HW 7 (due on March 29): [DF] 14.2. Problems 3 (over Q), 7, 17 and 18
HW 8 (due on April 5): [DF] 14.3. Problems 3, 8 and 10 (p here is prime), 14.4. Problem 5
HW 9 (due on April 19): [DF] 14.6. Problems 5 (over Q), 11 and 19, 14.7. Problem 3
HW 10 (due on April 26): Click here
for the problems.
Final: Thursday, May 11, in Math Tower 4-130, 11:15am-1:45pm.
References: Lang, chapters XIII and XIV; Dummit and Foote, Chapter 11.
References: Lang, chapter XX; Dummit and Foote, Part V, 17.
References: Lang, chapter XVII; Dummit and Foote, Part VI; Serre.
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