Mathematics is full of unsolved problems and mind-bending concepts, and the Mathematics Department at Dartmouth is a great place to learn about and investigate these ideas.
The mathematics graduate program at Dartmouth College is a small, selective program that serves students who wish to complete a Ph.D. in pure or applied mathematics. The program is structured to serve both those who envision a career involving research and teaching as well as those who wish to continue their research in industry. It is a five-year program in which students are enrolled in each of the Summer, Fall, Winter, and Spring terms. Students who are admitted to the PhD program are offered support through a Dartmouth Fellowship or other grant for up to 5 years provided they continue to make satisfactory progress towards their degree.
During their first year, students develop a strong background in at least three research areas, selected from among algebra, analysis, topology, and broad areas of applied mathematics which include numerical analysis, stochastic processes and uncertainty quantification, analytic study of PDEs, and general methods in applied mathematics. After their first spring, students choose three of those areas in which to complete a preliminary exam. During their second year the path followed by those in pure mathematics begins to diverge from those in applied mathematics. Students in applied math will be involved in a summer research project whose written summary and extension will be the basis of a presentation and oral exam. Students in pure mathematics take two oral exams on advanced topics from syllabi constructed in consultation with two faculty members. Students continue to broaden their mathematical knowledge through course work or research projects, and by the end of the second year, also complete a seminar which provides training for how to become an effective communicator and classroom teacher. They secure a thesis adviser and secondary adviser, and advance to candidacy for the Ph.D. Graduate students are appointed as faculty to teach one Dartmouth course independently in each of their 3rd, 4th (and often 5th) years. Most of our graduate students finish the work that comprises their thesis during the 5th year, the last year in which we offer financial support.
If you are considering applying to the graduate program here, we advise you to review the research interests of our faculty to make sure there are a few areas of interest to you and make sure that you use your senior year to solidify your understanding of the advanced courses for your major, as this will ease your entry into graduate work. We look forward to hearing from you.
Areas which students have recently chosen for their dissertation research include algebraic number theory, algebraic topology, arithmetic geometry, combinatorics, complex networks/systems, functional analysis, knot theory, logic, mathematical biology, numerical analysis, Riemannian geometry, set theory, and signal processing. Review their thesis abstracts and adviser and job information.
For additional information about our program, please visit our Graduate Student Info page and our FAQ for Applicants page. You may also email the department administrator at firstname.lastname@example.org or call 603-646-2415.
Any application materials not submitted electronically should be mailed to:
37 Dewey Field Road
Suite 6062, Room 437
Hanover, NH 03755-1419
All of our admitted students have their tuition waived. In addition, they are supported through a Dartmouth Fellowship or other grant for five years assuming that they remain in good standing within the department. This support is in the form of a modest monthly stipend. There is nothing additional that you need to complete to receive this support. It happens automatically when you are accepted into our program.