Mathematics, PhD

The Mathematics PhD is a research degree granted on the basis of broad mathematical knowledge and exhibited creative ability. Course work leading to the doctorate is available in the areas of algebra, analysis, applied mathematics, discrete mathematics, numerical analysis, partial differential equations, and topology. In order to be admitted to candidacy for the PhD degree, a student must complete studies in a minor field (either inside or outside the department) and successfully complete three written preliminary examinations. Subsequent work becomes highly specialized through seminars and independent study. Finally, work on a dissertation is an original contribution to the candidate’s major field. 

Admission Requirements 

The PhD program in Mathematics does not have formal admission requirements other than those of the Graduate School. Admission, however, is competitive. The admissions committee reviews transcripts, letters of recommendation, and the candidate’s personal statement, seeking evidence of mastery in proof-based mathematics (such as analysis, topology, and modern algebra), the ability to craft mathematical proofs, and general mathematical maturity. 

Degree Requirements 

• Complete 36 credit hours. 

• Pass three comprehensive examinations prior to advancing to the research stage of the program. 

• Complete studies in a minor field (either inside or outside the department).