Ph.D. in Mathematics
The Ph.D. in Mathematics is a rigorous program designed for students seeking advanced research opportunities in pure and applied mathematics. With a strong emphasis on analytical thinking, problem-solving and mathematical modeling, the program prepares graduates for careers in academia, industry and government.
Students work closely with expert faculty on cutting-edge research in areas such as algebra, analysis, topology and mathematical physics. The program develops the theoretical and computational skills necessary for high-level problem-solving and innovation, equipping graduates to contribute to advancements in science, technology and mathematics education.
About the program
The Ph.D. in Mathematics signifies advanced scholarship and the ability to conduct original research in the field. Doctoral candidates complete rigorous coursework, pass qualifying exams and produce a dissertation that contributes new knowledge to mathematics. Students can specialize in areas such as coding theory, dynamical systems, financial mathematics, set theory and statistics. Graduates pursue careers in academia, research, finance and industry, securing roles as postsecondary education administrators, operations research analysts and mathematical consultants.
Mathematics program requirements and curriculum
The mathematics Ph.D. degree requires students to satisfy the graduate program requirements and overall mathematics program requirements. Students are required to pass a qualifying exam in algebra or analysis, as well as one additional exam from the following four choices: algebra, analysis, applied mathematics, and probability and statistics. See the Qualifying Exam Syllabi.
Career insights
A degree in mathematics can lead to a variety of career paths. Here are just a few of the many opportunities available in this field.
| Career | Median salary |
|---|---|
| Mathematical science teachers, postsecondary | $90,000 |
| Mathematician | $79,000 |
| Middle school teachers, except special and career/technical education | $67,000 |
| Natural sciences managers | $137,000 |
| Secondary school teachers, except special and career/technical education | $69,000 |
| Statistical assistants | $48,000 |
| Statisticians | $95,000 |
This data provides a broad overview of how major selection can lead to careers and is provided without any implied promise of employment. Some careers will require further education, skills or competencies. Actual salaries may vary significantly between similar employers and could change by graduation, as could employment opportunities and job titles.