What to Expect
You can complete your PhD in just five years, taking classes on topics such as algebraic topology, differential geometry, convexity and optimization, and high-dimensional probability. At Case Western Reserve, one of the top research universities in the U.S., you’ll work alongside our renowned faculty who conduct research on algebraic and differential geometry, analysis, category theory, convexity, probability and many other areas.
As a part of your program, you’ll take written examinations on abstract algebra and real analysis, as well as an oral examination in your chosen area of specialization. Possible subject areas include complex analysis, control and calculus variations, differential equations, dynamical systems, functional analysis, geometry (algebraic, differential, or tropical), and persistent homology.