Mathematics, Ph.D.

Return to: Graduate School of Arts & Sciences: Degree Programs

Kerchof Hall
University of Virginia
P.O. Box 400137
Charlottesville, VA 22904-4137
(434) 924-4919
www.math.virginia.edu

Degree Requirements

Students are expected to pass two written general examinations chosen from the areas of analysis, algebra, and topology. Students are expected to attempt two different general examinations before the beginning of the third semester, to pass at least one general examination before the beginning of the fourth semester, and to pass both exams before the beginning of the fifth semester.

Students are expected to demonstrate their ability to commence dissertation research by passing an oral examination before the conclusion of their fiftth semester on material selected by the faculty from among second-year courses. If deficiencies are noted, the examining panel will make recommendations for improvement and meet again with the student before the beginning of the fifth semester.

Students are expected to complete all requirements stated above by the conclusion of their fifth semester.

Students are expected to write and defend a dissertation.

Doctor of Philosophy

Of the 72 credits required for the doctoral degree, students are expected to complete a minimum of 24 credits of graded coursework, including:

MATH 7310 - Real Analysis and Linear Spaces I Credits: 3
MATH 7340 - Complex Analysis I Credits: 3
MATH 7751 - Algebra I Credits: 3
MATH 7752 - Algebra II Credits: 3
MATH 7800 - Algebraic Topology I Credits: 3
MATH 7820 - Differential Topology Credits: 3

Total Required Credits: 72

Courses

Please follow this link to a listing of graduate course offerings for this program: Graduate Courses Arts & Sciences. Some programs limit the number of credits offered outside the department or school that a student may allocate toward degree requirements. All course enrollment is subject to approval each term by the Director of Graduate Studies.