Opportunities

[Image source] A photograph of David Gabai's chalkboard from the book "Do Not Erase".

Other mathematical opportunities

The directed reading program is only one of many ways to engage with mathematics outside of the classroom.  Below is a non-exhaustive list of those opportunities.

You can find more programs and fellowships listed in this presentation by OURFA²M².

The importance of recommendation letters

When applying for graduate school, REUs, workshops, and etc., you will be asked to provide 1-3 letters of recommendations from a full-time faculty member. This should be someone who can comment on your mathematical abilities and potential. You should generally prioritize recommenders in the following order:

Professor that knows you well

(especially through research or an independent study)

Professor that only knows you from coursework

(ideally a course you performed well in)

Adjunct lecturer (PhD holder)

Graduate student

For graduate school, REUs, workshops, etc., a recommendation letter from a graduate student is not acceptable — you should not ask your DRP mentor to write you a letter for such programs. For graduate school applications, a letter from an adjunct lecturer is not preferred either. However, there are plenty of ways to be noticed by a faculty member: if you are taking a course, stop by their office hours to ask questions (e.g. about a proof or applications of a concept) and do extra credit if it's available. Stay in touch with your professors (e.g. ask for advice about the next course to take). Besides coursework, consider applying to the programs listed above; they're all great opportunities to make a positive impression on a faculty member.