- Ph.D. Programs
- Master's Programs
- Quantitative Finance and Risk Management
- Graduate Courses by Area
- 500+ Level Course Descriptions by Term
- Resources for Current Students
- Student Awards
Application Window for Fall 2020 Entry is now open ---------- All Materials Due December 15, 2019!
The Mathematics Department offers a Ph.D. in Mathematics and Applied and Interdisciplinary Mathematics.
Ph.D. Application Requirements
- GRE General Test
- GRE Mathematics Subject Test
- 3 Letters of Recommendation
- Curriculum Vitae/Resume
- Academic Statement of Purpose (concise - no limit)
- Personal Statement (500 word limit)
- TOEFL or IELTS Exam (Non-native English speakers)
The Mathematics Department's graduate programs only accept applications for Fall semesters. The application for Fall 2020 admission will be available starting in September 2019. The Fall 2020 deadline is December 15, 2019 for all applicants.
General Requirements for Admission
A student must have completed a bachelor's degree at an accredited college or university in order to be considered for admission.
Applied & Interdisciplinary Mathematics (AIM) Ph.D. Admissions Requirements
Successful AIM Ph.D. applicants will demonstrate an interest in an interdisciplinary area of applied mathematics in addition to substantial mathematical ability. Two types of students are generally considered for admission to the AIM Ph.D. program:
- Mathematics majors with excellent grades in mathematics courses, outstanding GRE scores in the mathematics subject test, and excellent letters of recommendation. The admissions committee will also take into account other scholarly activities such as summer research experience, published papers, or courses in other fields.
- Non-mathematics majors from the physical, life, or engineering sciences, or from other appropriate areas of study. Such students are expected to have completed at least two upper division mathematics courses, and/or have substantial exposure to mathematics in other courses, and are strongly advised to submit a GRE mathematics subject test score. Other experience in working with mathematics (for instance, summer research positions) will also be taken into account, as well as grade point average and letters of recommendation.
Mathematics Ph.D. Admission Requirements
The undergraduate major need not be mathematics, but a student should have mastered material roughly equivalent to the undergraduate mathematics major at The University of Michigan including:
- three semesters of calculus
- one or two semesters of differential equations
- one semester courses in modern algebra, linear algebra, geometry or topology
- advanced calculus of one and several variables
In addition, a student should have completed at least three additional mathematics courses and at least two courses in related fields such as statistics, computer science, or the physical sciences. Students with strong records in less comprehensive programs will be considered for admission but if admitted should expect to spend the first one or two semesters in graduate school completing their undergraduate preparation in mathematics. Based on historical data, we expect that successful applicants to the Ph.D. program will have an overall GPA of at least 3.3 on a 4.0 scale.
Application Requirement Details
GRE, TOEFL, and IELTS Tests
- GRE and GRE Math subject test scores are required.
- While there are no minimum acceptable GRE scores, a high standard is expected.
- TOEFL or IELTS exam is required for students whose native language is not English
- TOEFL and IELTS exams should not be older than two years as of the Admission Deadline.
- Minimum TOEFL and IELTS scores must meet Rackham's requirements here.
- TOEFL or IELTS Exemptions are only given per Rackham's rules here.
- ETS school code for the University of Michigan Rackham Graduate School is 1839
Letters of Recommendation
Letters of recommendation play an especially crucial role in the admission process. At least three letters are required, and up to five may be submitted. Applicants should choose as recommenders people who know their strengths and weaknesses relevant to graduate study in mathematics. The most useful letters are those which list in some detail the accomplishments of the student and make direct comparisons with other students who have succeeded at major U.S. graduate schools. International students already in the U.S. should submit letters from their U.S. institution, whenever possible. Please register your recommenders for the electronic Letters of Recommendation when using the Online Application. Letters received after the application deadline will be accepted, but should be received within 1 week of that deadline.
Those students who will have completed a Master's degree in Mathematics by the time they begin studies at The University of Michigan must apply to the Ph.D. program. Others may apply to either program. It is possible, but not automatic, to move from one program to the other.
Note: All credentials submitted for admission consideration become the property of the University of Michigan and will not be returned in original or copy form.
Additional Information: Please visit the admissions page of the Rackham Graduate School for additional information regarding admission including: minimum graduate school requirements, residency, and application fees.
The Mathematics Admissions Committee will review uploaded transcripts with university logos during the application process. While these are considered "unofficial" transcripts because they have been opened from their original sealed envelopes, they are acceptable. If an applicant receives an offer of admission, an official transcript in a sealed envelope will need to be mailed from the institution directly to the Rackham Graduate School.
Please submit your most current transcript with your online application by the due date. If you would like the Admissions Committee to see your Fall term scores, you may email them to email@example.com after the due date, and they will be included with your application.
Financial Support for Ph.D. Students
Most students enrolled in the Ph.D. program in Mathematics are granted full financial support including an annual stipend, tuition waiver, and health insurance for a period of five years, subject to satisfactory progress. The Department offers aid in the form of Graduate Student Instructorships, Research Assistantships, and Fellowships.
All entering Ph.D. students will be considered for Graduate Student Instructorships, which normally require four classroom hours of teaching per week plus additional office hours during the Fall and Winter terms. The stipend for such an appointment in 2019-2020 is $10,889.50 per term. In addition, Graduate Student Instructors receive a full tuition waiver. Teaching duties may involve teaching a section of a first-year calculus or pre-calculus course or serving as an instructor for recitation sections attached to a faculty lecture in multivariable calculus or elementary differential equations.
The Department of Mathematics has many fellowship opportunities, including the Copeland, Glover, Rainich, and Shields Fellowships which may provide a stipend, tuition waiver and in some cases a reduced teaching load. Other fellowships administered by the Rackham Graduate School can be found at their Fellowships office.
The University of Michigan is part of the CIC consortium, which also awards fellowships to outstanding underrepresented applicants. Also available are prestigious Rackham Science Award’s given out by the Rackham Graduate School.
All new Graduate Student Instructors are required to attend an orientation and training program which is held the week before classes begin. New Graduate Student Instructors whose Undergraduate Degree is not from an English speaking University must pass an English Evaluation which tests the specific oral skills needed for classroom teaching and are required to attend a three-week cultural orientation program starting in July.
Research Assistantships are awarded mainly to senior Ph.D. students to relieve them of teaching duties during the final part of their dissertation research. Students at this point may also compete for Rackham Dissertation Fellowships, which provide full support for one year, or Research Partnerships. A small number of positions as paper-graders for the larger advanced courses is available each term.
Some additional funds are often available for support during the summer. More advanced students who are actively involved in research may be supported from NSF grants awarded to faculty members. For other students there is a limited number of Departmental fellowships and a few teaching positions are available. No advanced graduate courses are offered in either the Spring or Summer half-terms and students are encouraged to spend some of their summers attending workshops, doing research, working in government, or seeking internships in industry.
If you have any questions regarding the application process, please contact the Department of Mathematics at (734) 615-3439. You can also e-mail us at: firstname.lastname@example.org