Application Deadlines
Fall:January 15
Winter:September 15
Spring:January 15
Summer:January 15
Contact Information: 
275 TMCB
Program Requirements: 

The doctoral program prepares students for a career in research and teaching at the university level or in basic research in a nonacademic setting.

Requirements for Degree.

  • Credit hours (54): minimum 36 course work hours in mathematics courses numbered 600 or above with a grade of B or better in each, plus 18 dissertation hours (Math 799R).
  • Required courses: complete at least 3 hours each in algebra, analysis, applied mathematics, and geometry/topology.
  • Examinations:

Written Examinations: In their first and second years, students need to pass three qualifying exams. One of these must be in algebra or analysis; the student and his/her committee will determine the others. The material tested will be from Math 540/641 for analysis and Math 572/673 for algebra. For ODE/Dynamical Systems the courses would be Math 634/635, and for topology, the courses would be Math 554/656. These exams will be offered in January, May and August of each year. Four hours are allotted to each examination. Syllabi are available for each examination.

  • Dissertation.  A student seeking a doctor of philosophy degree must register for and complete a minimum of 18 hours of dissertation credit. No more than 18 hours may count toward the 54 hours required, and all 18 hours may not be taken in one term or semester. Registration for dissertation credit and work on the dissertation must be concurrent.
  • Defense of Dissertation: A final oral defense of the dissertation is conducted by a faculty committee consisting of the student’s research adviser, two other readers of the dissertation (one of whom may be an outside examiner) and two other members of the faculty.
Admission Requirements: 

Required Tests

GRE and GRE Math Subject Test

Additional Requirements

  1. Undergraduate mathematics degree or equivalent
  2. One year of mathematical analysis or advanced calculus
  3. One year of abstract algebra
  4. GRE and GRE Math Subject Test
Program Outcomes: 

Development of core skills

Demonstrate competence in mathematical thinking at the PhD level. This includes the ability to read mathematics independently and solve advanced mathematical problems. Students are expected to show competence in at least three of the following areas: algebra, analysis, ordinary differential equations/dynamical systems, and topology. This competence will be at a higher level than that expected for the MS degree.

Research Skills

Students will demonstrate independence and expertise in mathematical research and writing.

Effective Communication

Communicate complex ideas effectively and reason soundly in both quantitative and qualitative settings at many levels, both verbally and in writing. At the PhD level this includes the ability to write a dissertation, give presentations at mathematical conferences and to submit a mathematics paper to a journal.

Academic and Professional Preparation

Program graduates will be able to enter the academy as a mathematician or be prepared to work in a profession requiring sophisticated skills in the mathematical sciences.

Program Stats

Characteristics of Students from Past Academic Year
Total Students 18
International 5
Female 3
LDS 13
Non-White 7
BYU Undergraduate 12
Three Year Average Test Scores of Admitted Student
GRE Composite Score 325.0
GRE Quantitative Score 165.0
GRE Quantitative Percentile 91.0
GRE Verbal Score 160.0
GRE Verbal Percentile 78.0
GRE Analytical Score 4.8
GRE Analytical Percentile 83.0
Five Year Average of Graduated Students
Average Years to Degree 5.7
Graduated Per Year 1.6
Five Year Average of Admitted Students
Applied Per Year 3.4
Admitted Per Year 2.2
Percent Admitted 64.71
Average GPA 3.70