# Mathematics, PhD

*for the Doctor of Philosophy in Mathematics*

**department chair:** Vera Hur

**director of graduate studies:** Yuliy Baryshnikov

**overview of admissions & requirements: **https://math.illinois.edu/admissions/graduate-program-mathematics-admissions#Math-PhD

**overview of grad college admissions & requirements:** https://grad.illinois.edu/admissions/apply

**department website:** http://www.math.illinois.edu

**department faculty:** https://math.illinois.edu/research/faculty-research and https://math.illinois.edu/directory/faculty

**college website:** https://las.illinois.edu/

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

**phone:** (217) 333-5749

**email:** math-grad@illinois.edu

### 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.

### Requirements

Code | Title | Hours |
---|---|---|

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 equivalency | 32 | |

MATH 599 | Thesis 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 |