Doctor of Philosophy in Mathematics

The Doctor of Philosophy (PhD) in Mathematics at Auburn University prepares students for careers in academic research, university teaching and advanced quantitative professions. The program emphasizes original research while providing rigorous training in advanced mathematical theory.

Students work closely with faculty mentors while developing expertise in specialized areas of mathematics.

View Past Preliminary Exams

Areas of Study

Doctoral students pursue research across a wide range of mathematical fields within the department. These include areas such as algebra, analysis, geometry and topology, differential equations and dynamical systems, discrete mathematics and combinatorics, numerical analysis, and probability and statistics.

As students progress through the program, they select a research area and work with a faculty advisor whose expertise aligns with their academic interests.

Program Structure

The PhD program combines advanced coursework with comprehensive examinations and original research. Students begin by completing graduate coursework that provides a strong foundation in modern mathematics while preparing for qualifying examinations.

As students advance in the program, they select a faculty advisor and develop a dissertation topic under the guidance of an advisory committee. The program culminates in the completion of an original research dissertation and a public dissertation defense.

Throughout the program, students work closely with faculty mentors and advisory committees to develop a plan of study and research agenda.

Research Training

Doctoral students participate in seminars, collaborate with faculty researchers and contribute to ongoing mathematical research. Many students present their work at conferences or publish their findings in scholarly journals.

This research experience prepares graduates for careers in academia, research institutions and technical industries.

Sixty credit hours are required for the PhD degree. 
Learn More

Students interested in the PhD in Mathematics should review admissions requirements and deadlines on the How to Apply page and explore the department’s faculty research areas to identify potential research mentors.

How to Apply
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