Mathematics: Actuarial Science & Risk Analytics, PhD

for the Doctor of Philosophy in Mathematics, Actuarial Science and Risk Analytics Concentration

department chair: Vera Hur

director of graduate studies: Yuliy Baryshnikov

overview of admissions & requirements:

overview of grad college admissions & requirements:

department website:

program website:

department faculty:

college website:

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

phone: (217) 333-5749


The Concentration attracts students with strong interest in financial risk analytics and actuarial applications of mathematics, and equips them with advanced analytical tools for professional and academic careers. Students in the Concentration complete coursework or professional exams in Probability, Risk Modeling and Analysis, Mathematical Statistics, Theory of Finance, and Actuarial Models for Life Contingencies or Financial Economics.

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

Students working toward a Ph.D. degree usually require four to six years to complete the requirements. Each student must pass the comprehensive examinations/courses 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 540Real Analysis4
MATH 561Theory of Probability I4
MATH 563Risk Modeling and Analysis4
STAT 511Advanced Mathematical Statistics4
Plus one of the following:4
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
Mathematical Logic
Combinatorial Mathematics
Students must demonstrate competence in the following:
MATH 564Applied Stochastic Processes4
STAT 425Statistical Modeling I3 or 4
FIN 591Theory of Finance4
Students must demonstrate competence in two of the following:8
ASRM 575Life Insurance and Pension Mathematics4
ASRM 510Financial Mathematics4
ASRM 561Loss Data Analytics & Credibility4
Master's equivalency32
MATH 599Thesis Research (0 min applied toward degree)0
Total Hours required for the degree96

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