We are transitioning from "Qualifying exams" to "Preliminary exams." The preliminary exams are in effect for students who entered the PhD program in Fall 2010 or later. The qualifying exams apply to students who entered the PhD program before Fall 2010.

Qualifying Exams

Below you can find topics and samples of qualifying exams offered by the department. Not all exams are offered in every term. Contact faculty members directly with questions about the topics/problems.

Abstract algebra:

• Topics
• List of problems
• 2005 Exam with solutions

Complex analysis:

• Topics
• 2003 Exam
• 1998 Exam

Real analysis:

• Topics
• 2004 Exam
• 2003 Exam

Topology and Algebraic topology:

• Topics