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PhD Mathematics at University of Arizona

University of Arizona, United States

Programme overview

As a Ph.D. candidate, you'll be encouraged to pursue research in a broad range of areas of mathematics, including algebra and geometry; analysis; applied mathematics; mathematics education; and probability and statistics. Our Ph.D. students often teach their own sections of mathematics classes and have numerous opportunities for outreach and service.

Faculty: College of Science  |  Duration: 6 years / 69 units  |  Study mode: full-time  |  Location: Tucson, AZ, United States

What you will study

Students must take 18 units from the following courses and receive a grade of "B" or better in both semesters, or earn a high pass on the corresponding written qualifying exam. Math 511A: Algebra (3 units) Math 511B: Algebra (3 units) Math 523A: Real Analysis (3 units) Math 523B: Real Analysis (3 units) Math 534A: Topology-Geometry (3 units) Math 534B: Topology-Geometry (3.

Official programme page

Application information

Entry requirements

Graduate College minimum (applies to all programmes; departments may add requirements): regionally accredited bachelor's degree or comparable international degree and a minimum 3.00 GPA for degree programmes on a 4.00 scale. The Graduate College does not require the GRE, though individual programmes may. Programme-specific requirements are listed in the Graduate Admissions Guide.

Domestic applicants: USD 15,500 a year (2026-27). FY 2027 published base tuition for the Resident Graduate rate band, which applies to main-campus graduate programmes. Excludes mandatory fees, college fees, program fees and differential tuition, housing and meal plans. Source

International applicants: USD 35,800 a year (2026-27). FY 2027 published base tuition for the Non-Resident Graduate rate band, which applies to main-campus graduate programmes. Excludes mandatory fees, college fees, program fees and differential tuition, housing and meal plans. Source

Spring semester begins January 13 and fall semester begins August 23 for undergraduate international students; for graduate students spring begins January 14 and fall August 25.

Apply through the official page: https://grad.arizona.edu/admissions

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