Ph.D. in Mathematics
Program Name and Number: Mathematics - PH3101
- Admissions (Note: Students without a master's degree or similar post-baccalaureate experience will not be admitted directly to the doctoral program; instead, they should apply to the master's program doctoral preparation track.)
- Advice from the Graduate Chair
- Degree & Graduation Requirements
- Financial Support (Teaching Assistantships)
- Graduate Courses & Resources
- Program Mission and Learning Objectives
The Ph.D. in Mathematics is intended for students who wish to advance mathematical knowledge itself, apply such knowledge to problems confronting society and science, and educate others in mathematical methods and ways of thinking.
The Mathematics Department offers students the possibility of designing study plans to meet their individual goals and interests. In particular, it offers a broad spectrum of possible research areas for Ph.D. students, including algebra, analysis, coding theory, computational harmonic analysis, partial and ordinary differential equations, dynamical systems, financial mathematics, mathematical biology, numerical analysis, optimal control theory, set theory, statistics, stochastic processes, and topology.
The first phase in doctoral education in Mathematics is to understand a few subjects deeply and a range of subjects in less detail. OHIO's program accomplishes this through a system of courses and written examinations. An exceptionally well-prepared student can attempt the examinations early and spend relatively little time doing coursework.
The second phase is to become the expert on a specific problem and produce new mathematical results on it suitable for a dissertation. In the program, this phase is done one-on-one with a faculty adviser or in a small research group. The dissertation is a scholarly work demonstrating the ability to understand, organize, improve, and present mathematical ideas of outstanding importance, depth, or interest. It must include original mathematical research and be worthy of publication.
Most doctoral students are trained and financially supported as teaching assistants and have the opportunity to teach classes as the primary instructor.
Most graduates work in academia, teaching and/or doing research in Mathematics.
To train students to create, apply, and disseminate mathematical knowledge and understanding.
Program Learning Objectives
- Graduates will be able to extend the frontier of mathematical knowledge by producing quality research with original results.
- Graduates will be able to apply a range of mathematical tools to problems within mathematics and in other disciplines.
- Graduates will be able to effectively disseminate mathematical knowledge and understanding through publications, seminars, classroom teaching, or other means.