2026-2027 Course Catalog

Source: https://catalog.illinois.edu/graduate/las/mathematics-phd/actuarial-science-risk-analytics/ Parent: https://catalog.illinois.edu/graduate/

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

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.

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

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.

Requirements

Course List

 | Code | Title | Hours |

| --- | --- | --- | | 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 540 | Real Analysis | 4 | | MATH 561 | Theory of Probability I | 4 | | MATH 563 | | 4 | | STAT 511 | Advanced Mathematical Statistics | 4 | | Plus one of the following: | | 4 | | MATH 511 | Intro to Algebraic Geometry | | | MATH 518 | Differentiable Manifolds I | | | MATH 525 | Algebraic Topology I | | | MATH 530 | Algebraic Number Theory | | | MATH 531 | Analytic Theory of Numbers I | | | MATH 542 | Complex Variables I | | | MATH 550 | Dynamical Systems I | | | MATH 553 | Partial Differential Equations | | | MATH 570 | Mathematical Logic | | | MATH 580 | Combinatorial Mathematics | | | Students must demonstrate competence in the following: | | | | MATH 564 | Applied Stochastic Processes | 4 | | STAT 425 | Statistical Modeling I | 3 or 4 | | FIN 591 | Theory of Finance | 4 | | Students must demonstrate competence in two of the following: | | 8 | | ASRM 575 | Life Insurance and Pension Mathematics | 4 | | ASRM 510 | Financial Mathematics | 4 | | ASRM 561 | Loss Data Analytics & Credibility | 4 | | Master's equivalency | | 32 | | MATH 599 | Thesis Research (0 min applied toward degree) | 0 | | Total Hours required for the degree | | 96 |

Other requirements

Grad Other Degree Requirements

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

1. Acquire a foundation in real analysis at the graduate level.
2. Acquire a suitable breadth of knowledge to provide a foundation for undertaking high-level research in the field of actuarial science and risk analytics.
3. Gain a broad understanding of the range of current research in the mathematical sciences.
4. Demonstrate depth of knowledge in chosen area of research specialization.
5. Gain the ability to conduct independent mathematical research at a professional level.
6. Gain experience and competence in the teaching of mathematics at the college level.

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

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
• optional concentration
  • Computational Science and Engineering

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

Mathematics Department

Department Chair: Vera Hur\ Director of Graduate Studies: Jared Bronski\ Mathematics Department website\ Mathematics Department faculty\ Actuarial Science faculty\ 273 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801\ (217) 333-5749\ Mathematics email: math-grad@illinois.edu

College of Liberal Arts & Sciences

College of Liberal Arts & Sciences website

Admissions

Program website\ Mathematics Admissions & Requirements\ Graduate College Admissions & Requirements