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Ph.D. in Mathematics

Doctor of Philosophy in Mathematics

View our graduate program flyer.

The TCU Doctor of Philosophy (Ph.D.) degree in mathematics is designed for students who desire to do original research in pure mathematics and who desire to teach at the college/university level or to do mathematical data analysis in industry and research labs. After each doctoral student acquires a strong mathematical foundation in algebra, real and complex analysis, and topology, that student concentrates on one of the research specialties of the TCU mathematics faculty. These fields of mathematics include real and complex analysis, harmonic analysis, functional analysis, algebraic geometry, differential geometry, number theory, topology, global analysis, representation theory, operator algebras, and K-theory. Award-winning professors, faculty expertise in a wide range of research areas, and abundant opportunities for one-to-one student-to-faculty interaction characterize our program. All of our graduate students are trained in data science and computational methods as well.

Accepted Ph.D. students receive free tuition and a stipend of $27,000 per year (as of 2024), and these students assist in the Department of Mathematics by tutoring in the mathematics clinic and teaching (no more than one course per semester). For any further questions, please contact the graduate director Dr. Ken Richardson (

To apply for admission, you use the online application process (see the link on this page). The application includes transcripts from all college work, a CV/resume, three recommendation letters from professors, and a personal statement of purpose; GRE test scores are strongly recommended. The application deadline for Fall admission is January 1 of the relevant year, and applications received after that will also be considered if not all positions have been filled.

Program details and courses