Algebra Qualifying Exam
During Spring 2015, I held a few review sessions for UCSD's algebra qual. I will maintain this page in the hope that someone may find it helpful in preparing for their quals.
- The first session met on April 14. Here is the group theory sheet.
- The second session met on April 28. Here is the ring and module theory sheet.
- The third session met on May 5. Here is the field theory sheet.
- The practice qual was on May 12. This was mainly an opportunity to experience doing qual problems under some time pressure. Here is the practice qual.
Complex Analysis Qualifying Exam
In addition, while we were preparing for the complex qual in 2012, my officemates and I compiled various facts, theorems, and tricks in one document. I have fond memories of our study sessions. The textbook used for the course was Conway's Functions of One Complex Variable.