Mathematics, PhD

for the Doctor of Philosophy in Mathematics

department chair: Vera Hur

director of graduate studies: Yuliy Baryshnikov

overview of admissions & requirements:

overview of grad college admissions & requirements:

department website:

department faculty: and

college website:

department office: 273 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801

phone: (217) 333-5749


Graduate Degree Programs in Mathematics

Actuarial Science, MS

Applied Mathematics, MS

Mathematics, MS

Mathematics, PhD

optional concentrations:

Actuarial Science & Risk Analytics

Computational Science and Engineering

Teaching of Mathematics, MS

Computational Science and Engineering

for the Doctor of Philosophy in Mathematics

Students working toward a Ph.D. degree usually require from four to six years to complete the requirements. Each student must pass the comprehensive examinations (testing the student's knowledge of basic graduate-level mathematics in algebra, analysis, and other areas) and the preliminary examination (testing the student's ability to begin or continue research in a chosen field). Students must also write and defend a research thesis in their field of mathematics.

For additional details and requirements refer to the department's Guide to Graduate Studies and the Graduate College Handbook


Students must demonstrate competence in five core courses. Two of these are required to be MATH 500 (Abstract Algebra) and MATH 540 (Real Analysis). The remaining three can be chosen from the following list of electives: MATH 511, MATH 518, MATH 525, MATH 530, MATH 531, MATH 542, MATH 550, MATH 553, MATH 561, MATH 563, MATH 570, MATH 580. To demonstrate competence, a student must receive a B+ or higher in the course, or pass a written exam on the topic.20
Students must also demonstrate proficiency in undergraduate complex analysis, which can be done by a B+ in MATH 448, a B+ in MATH 542, or by passing the exam associated to MATH 542.0-4
Master's equivalency32
MATH 599Thesis Research (0 min applied toward degree)0
Total Hours:96

Other Requirements 

Other requirements may overlap
MATH 405, MATH 406, MATH 415, MATH 444, and MATH 499 cannot be counted toward this graduate degree.
64 hours in residence
Masters Degree Required for Admission to PhD? No
Comprehensive Exam Required Yes
Preliminary Exam Required Yes
Final Exam/Dissertation Defense Required Yes
Dissertation Deposit Required Yes
Minimum GPA: 3.25