Mathematics Links

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This page (created by Kiran Kedlaya) is meant to provide links of use to undergraduate and graduate students, and to professional mathematicians. I maintain a separate links page for the American Mathematics Competitions, focused on precollege students and their parents and teachers. Perhaps even more useful in this regard is the set of lists maintained by Art of Problem Solving, which also includes some book recommendations (click on "Resources").

This page used to live within my personal web site, but I decided to try setting it up as a wiki. Unfortunately, I had to limit edit access to credentialed users; if you want to make changes, email me with a proposed account name and I'll send you back a password.

Contents

For undergraduate students

  • The undergraduate math clubs of MIT, Duke, Princeton and Harvard.
  • An archive of problems and solutions from the Putnam competition. If you have no idea what that is, see the official Putnam home page. (If your school administers the Putnam, there should be a particular person in charge of it; ask around.)
  • Speaking of competitions, the International Mathematics Competition for University Students loosely emulates the IMO at the university level, but on a much smaller budget. It seems to be mostly attended by Eastern Europeans.
  • The Morgan Prize for undergraduate research.
  • The National Science Foundation funds a number of REU (Research Experience for Undergraduate) summer programs, in math and the sciences; the Harvard undergraduate math club keeps a database of reviews of math REUs attended by Harvard students. For example...
  • The summer math research program in combinatorics and graph theory at the University of Minnesota, Duluth, directed by Joe Gallian.
  • Study abroad opportunities in mathematics:
    • ALGANT (ALgebra, Geometry, And Number Theory) is a Masters-level program between four European universities (Bordeaux, Leiden, Padova, Paris-Sud), but is not restricted to Europeans.
    • The original Eastern European study abroad program: Budapest Semesters in Mathematics. (I attended this program, so can comment from personal experience on it.)
    • The Cambridge University Certificate of Advanced Study in Mathematics ("Part 3") is an intense one-year program at the Masters level (i.e., typically appropriate for students just after finishing an undergraduate program).
    • Mathematics Advanced Study Semesters is held at Penn State but follows an Eastern European model.
    • Math in Moscow is sponsored by the Independent University of Moscow (and last I checked, also by the American Mathematical Society).

For graduate students

See also "Funding sources" below.

For recent PhDs

See also "Funding sources" below.

Funding sources

These are mostly aimed at graduate students and older, since there are much better resources elsewhere aimed at undergraduates and younger. See also the AMS funding page. And beware that applications/nominations for a program starting in fall of a given year may be as due as early as June of the previous year!

Guide to terminology: "graduate" fellowships typically begin at the start of graduate students or a year later. "Postdoctoral" fellowships typically begin at receipt of the PhD. "Junior" fellowships are sometimes awarded to fresh PhDs in exceptional cases, but are targeted at those who have already completed a postdoc (and are now "junior faculty", i.e., tenure-track).

Not listed separately are postdocs funded by NSF grants to individual schools (e.g., through the RTG program). Such positions are usually limited by NSF rules to US citizens and permanent residents. Also not listed separately are postdocs at research institutes; see below.

Research institutes

These are sorted by full name (omitting first names in eponyms, except the "Max" in "Max Planck" by convention), but many of these are commonly known by acronyms, so these are included as well. See also the unified home page for all of the NSF-funded institutes.

In a couple of cases, these are not really single physical locations, but abstract entities (with money) that include several locations. These are characterized as "distributed".

Institutes that typically host and fund postdocs (often in accordance with a semester-long or year-long themed program) include: CRM (Montréal), Fields, IAS, IHES, IMA, MPI, MSRI, Newton, RIMS. Institutes that run primarily as conference centers (with few long-term visitors or faculty) include: AIM, BIRS, CIRM, Oberwolfach.

Subject pages

I'm sure there are more of these out there!

Research tools

Professional societies and organizations

Many countries have their own national societies; I have not listed all of these, again because of the North American-centric nature of this site.

Miscellaneous

Personal tools