PhD in Mathematics in Bethlehem United States | Lehigh University

The PhD program's work plan encompasses the previously mentioned Comprehensive Exam along with qualifying assessments. Mathematics PhD candidates must complete qualifying exams in two core subjects—Algebra and Real Analysis—within their first two years. Those pursuing the Applied Program PhD will adhere to a similar structure, with Statistics track students examined in Statistics and Applied Probability, while Applied Mathematics track students focus on Analysis and Differential Equations. Additionally, all students must develop a written proposal outlining further advanced coursework and extensive research article review. A third-year advanced topic examination is mandatory. The degree requirements culminate with a general exam presenting the thesis proposal, followed by the doctoral dissertation and its defense. Students beginning at Lehigh without a master's degree need to complete 72 credits, with a minimum of 48 from regular coursework (excluding dissertation credits), often earning a master's degree along the way. Those entering with a master's degree must complete 48 credits, including at least 18 from regular coursework (not counting dissertation credits).