Time and Location
We meet on Fridays at 3pm in 381U.
Office Hours
Mondays 56 (in 381T), Wednesdays 34 (in 381K).
Syllabus
Our focus is going to be entirely on working problems from the "Brian Conrad Era" (2009present) of the algebra qualifying exams.
I will only draw from problems in the exams before 2017, leaving the post2017 questions untainted for fulllength practice tests.
 Week 1: Linear algebra (1/18).
 Week 2: Finite group theory (1/25)
 Problems for discussion, collected together in one file.
 Dan Litt's notes on finite linear groups.
 Extra problems for practice: Spring 2010 M1, Spring 2012 A10, Fall 2013 M2, Spring 2014 A5, Fall 2014 A1, Fall 2015 M1,
Spring 2016 M1, Spring 2016 A3, Fall 2016 M1.
 Hints/Solutions.
 Week 3: Fields and Galois theory (2/15)
 Week 4: Ring theory (2/22)
 Week 5: Modules and homological algebra (3/1)
 Week 6: Commutative algebra (3/8)
 Week 7: Representation theory (3/15)
 Week 8: Algebraic geometry (3/22)
I will suggest weekly problems for "homework" from the list of past exams, which you can find
here. In "class" we'll go over (some of) the solutions.
Homework
I will ask people to write up some problems each week, to make sure everybody is keeping up. (I will probably not do more than skim the writeups.) There will be no grades.
