Qualifier Topic Lists
The qualifier exams in Pure Mathematics are in the three core areas of Analysis, Algebra, and Topology. Each exam is based on material covered in the first two semesters of each sequence. In particular, the Analysis qualifier exam corresponds to a year of coursework, one semester in Complex Analysis and one (the first) semester of Real Analysis.
Topics currently covered by the qualifying examinations in pure mathematics:
The topics are periodically revised; students are advised to consult with the area director for up-to-date information.
Further department wide information on qualifier exams can be found at qualifier guidelines.