Twin Cities campus
Twin Cities Campus

Mathematics Ph.D.

School of Mathematics
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455 (612-624-6391; fax: 612-624-6702)
  • Program Type: Doctorate
  • Requirements for this program are current for Spring 2021
  • Length of program in credits: 60
  • This program does not require summer semesters for timely completion.
  • Degree: Doctor of Philosophy
Along with the program-specific requirements listed below, please read the General Information section of this website for requirements that apply to all major fields.
The School of Mathematics offers a PhD in mathematics and a PhD in mathematics with emphasis in applied mathematics. Special areas of research include ordinary and partial differential equations; probability; real, complex, harmonic, functional, and numerical analysis; differential and algebraic geometry; topology; number theory; commutative algebra; group theory; logic; combinatorics; mathematical physics; and applied and industrial mathematics, mathematical biology, and dynamical systems.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
The preferred undergraduate GPA for admittance to the program is 3.00.
Undergraduate degree in mathematics or equivalent.
Other requirements to be completed before admission:
Applicants should have the prerequisite material of abstract algebra, analysis, and topology. GRE scores are not required for admission, but the Math subject test is strongly recommended. To receive full consideration for financial support, international applicants should have a TOEFL score of at least 100 with a speaking score of at least 23.
Special Application Requirements:
Applications are accepted for fall semester only. The application deadline is December 15.
International applicants must submit score(s) from one of the following tests:
    • Internet Based - Total Score: 79
    • Internet Based - Writing Score: 21
    • Internet Based - Reading Score: 19
    • Internet Based - Speaking Score: 18
Key to test abbreviations (TOEFL).
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
24 credits are required in the major.
12 credits are required outside the major.
24 thesis credits are required.
This program may be completed with a minor.
Use of 4xxx courses towards program requirements is not permitted.
Language Requirement: French, German, Italian, or Russian.
A minimum GPA of 3.00 is required for students to remain in good standing.
Courses offered on both the A/F and S/N grading basis must be taken A/F, with a minimum grade of B earned for each course. Students choose a program of coursework in consultation with their advisor and the director of graduate studies that best prepares them for research in mathematics.
Major Coursework (24 credits)
A minimum of 24 major credits is required. Courses are selected with the advisor and director of graduate studies.
Supporting Program (12 credits)
A minimum of 12 credits in a minor or supporting program that supports the thesis research are required. If a supporting program is chosen, it may consist partly or entirely of mathematics courses outside the student's major research area. Coursework is selected with the advisor and director of graduate studies.
Thesis Credits (24 credits)
Complete 24 credits after passing preliminary oral exam.
MATH 8888 - Thesis Credit: Doctoral (1.0-24.0 cr)
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MATH 8888 - Thesis Credit: Doctoral
Credits: 1.0 -24.0 [max 100.0]
Grading Basis: No Grade
Typically offered: Every Fall & Spring
(No description) prereq: Max 18 cr per semester or summer; 24 cr required