# Mathematics: Actuarial Science & Risk Analytics, PhD

*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

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 | Risk Modeling and Analysis | 4 |

STAT 511 | Advanced Mathematical Statistics | 4 |

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 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

Requirement | Description |
---|---|

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 |

*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:

- Teaching of Mathematics, MS
- optional concentration

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

**Mathematics Department**

Department Chair: Vera Hur

Director of Graduate Studies: Yuliy Baryshnikov

Mathematics Department website

Mathematics Department faculty

Actuarial Science faculty research

273 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801

(217) 333-5749

Mathematics email

**College of Liberal Arts & Sciences**

College of Liberal Arts & Sciences website

**Admissions**

Mathematics Admissions & Requirements

Graduate College Admissions & Requirements