Math 504/505/506
Modern Algebra

Monty McGovern

Autumn/Winter/Spring 2002-2003, Monday/Wednesday/Friday 9:30-10:20


This is a three-quarter sequence covering first-year graduate algebra, with a view toward preparing students to take the preliminary exam in that subject. Topics covered will include group actions, representation theory, commutative and noncommutative ring theory, module theory, and elementary algebraic geometry. I will use the text Abstract Algebra by Dummit and Foote, but will certainly not follow it page by page; in particular, I will present some topics not included in that book.