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PhD Mathematics at Case Western Reserve University

Case Western Reserve University, United States

Programme overview

The PhD in Mathematics is conferred for demonstrated scholarly attainment and capability of original research in mathematics. Students must show knowledge of algebra, real and complex analysis, and topology.

Faculty: College of Arts and Sciences  |  Department: Mathematics, Applied Mathematics, and Statistics  |  Duration: 36 credit hours (18 with a compatible master's degree); qualifying exams normally by end of fifth semester  |  Study mode: full-time  |  Location: Cleveland, OH, United States

What you will study

The 36 credit hours include abstract algebra (MATH 401, 402), analysis (MATH 423 to 425), one geometry or topology course and 18 hours of approved coursework. Students pass qualifying exams in real analysis and abstract algebra, an oral area exam, and defend a dissertation.

Official programme page

Application information

Entry requirements

School of Graduate Studies (graduate programmes): applicants need good academic records from fully accredited institutions. Non-native English speakers need TOEFL iBT 90 for tests before 20 January 2026 (5 band score from that date), TOEFL PBT 577, IELTS 7 or PTE Academic 61; some programmes set higher minimums. A compatible master's degree reduces the coursework requirement to 18 credit hours.

Requirements published at program group level.

Tuition is charged per credit, so the total depends on the modules you register for each year. Current fees are listed in the official fee schedule.

Duration: 36 credit hours (18 with a compatible master's degree); qualifying exams normally by end of fifth se

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