Advice & Perspective


The pursuit of a PhD and career in mathematics is an exciting, challenging and sometimes daunting experience.  The transition from undergraduate to graduate is the beginning a transition from student to professional mathematician and colleague.  While you are remaining in academia, the role of a graduate student is considerably more complex than that of an undergraduate.  In addition to learning how to develop a research program and solve problems (making you more an apprentice mathematician than a student), you will play valuable roles in: (i) the department's education mission as an instructor/TA; and (ii) the intellectual life of the department through a variety of venues, including: attending seminars and interacting with the visiting speakers, participating in (and organizing) reading seminars and research groups, and student chapters of professional organizations.  Each of these is an important facet of the professional life of a mathematician.

Participate in seminars

Attend seminars.  This is an excellent opportunity to learn about active areas of mathematics, important and interesting open problems, and various tools that can be used to tackle them.

Attend seminars outside your primary research interest(s), especially general audience talks such as: the Graduate-Faculty Talks, the Gergen Lectures and department colloquia.  This broadens your view of the mathematical landspace and introduces you to ideas and machinery that can deepen your work.  Mathematics is a deeply interconnected subject, and the best mathematicians are able to leverage these connections.

Interact with visitors

You are strongly encouraged to interact with visiting mathematicans (such as seminar speakers), especially those in your research areas.  These interactions are valuable as they will broaden and deepen your view of the mathematical landscape and expand your professional contacts.  The department supports this in two ways:

  • Each graduate student receives up to $50 each semester to reimburse lunches and dinners with seminar speakers (external to Duke).   The funds will not roll over from one term to the next term.  To be reimbursed:  submit the itemized receipt with your name, the seminar and the speaker written on the back. The receipt can not contain any alcohol. Submit your reimbursement request in the front office (Physics 117).
  • The department  funds a few graduate-student-sponsored colloquia each year.   (These are distinct from the Graduate-Faculty Talks.)  The department will provide a budget, but the graduate students will choose the speakers in consultation with the DGS (It is also recommended to discuss potential speakers with your mentor/advisor.) and organize the visit.  Ask the DGS for details about the program, and submit any nominations to the graduate representatives.  The 2019 - 2020 speakers are Jacob Lurie and Richard Schoen.

More advice

There is a lot of great advice from successful mathematicans, including:

Finally, CAPS offers (free) counseling on all manner of topics, including stress manangement and work-life balance.