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Doctor of Philosophy

About the Program

Master the world’s universal language—and be prepared to teach it—with a PhD in Mathematics from Case Western Reserve University. In our program, you’ll expand your knowledge of core topics including measure theory and homological algebra—and you’ll come away prepared to work in fields directly related to your doctoral training. Many of our graduates enter careers in academia, while others go on to work in industry or government roles.

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.

Join the Mathematics Graduate Student Association, an organization of all master’s- and doctoral-level graduate students who are studying pure mathematics, applied mathematics and statistics. Group members host annual activities to bring you together with your classmates as you explore shared interests.

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A Place for Success

Our city is one of the best places you can be to begin your career in mathematics. Cleveland has industry, culture, food, a low cost of living and a wealth of job opportunities. In addition to being home to Fortune 500 companies such as Progressive Insurance and renowned health care systems such as Cleveland Clinic (the No. 2 hospital system in the world, according to Newsweek), there’s no shortage of activities in our city. Check out the Great Lakes Science Center downtown, which is just a few minutes away by car or public transportation. Or if you’re up for a quick walk, explore the nearby Cleveland Museum of Natural History or the famous Cleveland Museum of Art, where you can discover mathematical concepts within paintings.

By the Numbers


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years to complete program


university in the country, U.S. News & World Report


most innovative university, Reuters

Admission Requirements

Our program thrives when we have students with diverse perspectives and a range of educational, professional and life experiences. We look forward to learning more about you!
The application process requires:

  • Online application, including a statement of purpose and personal statement
  • $50 application fee
  • Bachelor’s from an accredited institution (either already complete, or will be complete before you enroll)
  • Unofficial transcripts
  • Current resume/CV
  • Three letters of recommendation
  • Test scores for GRE (general) and GRE (math) are optional but preferred
  • International applicants: Results of TOEFL, IELTS or PTE


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