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

Predictive Analytics and Risk Management, MS

Enterprise Risk Management | Financial and Insurance Analytics

Mathematics, PhD

optional concentrations:

Actuarial Science & Risk Analytics

Computational Science and Engineering

Teaching of Mathematics, MS

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 including the following:
To demonstrate competence, a student must receive a B+ or higher in the course, or pass a written exam on the topic.
MATH 500Abstract Algebra I4
MATH 540Real Analysis4
Plus choose three of the following:12
Intro to Algebraic Geometry
Differentiable Manifolds I
Algebraic Topology I
Algebraic Number Theory
Analytic Theory of Numbers I
Complex Variables I
Dynamical Systems I
Partial Differential Equations
Theory of Probability I
Risk Modeling and Analysis
Mathematical Logic
Combinatorial Mathematics
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