Mihnea Popa Office: Lunt 226 Tel: 8474915576 email: mpopa@math.northwestern.edu 

Brief course description: This is the third quarter graduate algebra course, intended to serve as an introduction to: solvability of polynomials, representations of finite groups, higher linear algebra, and homological algebra. The course will prepare you for more advanced graduate courses relying on abstract algebra. 
Other useful references: S. Lang "Algebra"; M. Artin "Algebra"; D. Dummit and R. Foote "Abstract Algebra"; J.P. Serre "Linear Representations of Finite Groups"; M. Atiyah and I.G. MacDonald "Introduction to Commutative Algebra"; W. Fulton and J. Harris "Representation theory: a first course". 
Prerequisites: Math 4701 and 4702. 
Requirements: There will be weekly homework, posted posted on this page every Monday, and due in class the following Monday (if you cannot attend class, you can leave it in my mailbox in Lunt before class). The grader is Mingyi Zhang. Homework is the most important component of this course, counting for 60% of your grade. No late homework will be accepted. You may collaborate on the homework problems, but you must write your own solutions and properly acknowledge any help you receive from others. There will be a takehome final exam counting for 40% of your grade. The Algebra prelim (a three hour exam) will be on Friday, June 14. 
Homework: 
Syllabus:
