The purpose of the Junior Research Seminar / Undergraduate Mathematics Laboratory  is to form a research team of undergraduates, graduate students and faculty to investigate interesting unsolved conjectures theoretically and experimentally.

The reports from 2000-2003 are available for viewing and downloading on the left. Each problem includes a list of references, data, graphs, and programs. A report on the mathlab is available here. Also, Steven J. Miller and Ramin Takloo-Bighash have written a book based on these courses, An Invitation to Number Theory; the link leads to bibliography information as well as student reports in the book.

Slides from conference talks on the UML are available:
Computational Number Theory Workshop                          (Minneapolis, August 2002):     tex   dvi   ps   pdf
Computational Number Theory Workshop                          (Minneapolis, expanded notes): tex   dvi   ps   pdf
NSF Workshop: Analysis, Number Theory & Computation (Arlington,     Sept 2002):         tex   tex   ps   pdf
Hawaii International Conference on Statistics                       (Honolulu,    June 2003):           tex   dvi   ps   pdf

Interested in helping advance experimental number theory? Go to ZetaGrid, where you can download a screensaver that calculates zeros of the Riemann Zeta Function. ZetaGrid is running in parallel on many machines; more than a quarter of a billion new zeros are calculated each day.

If you have any questions or if you would like to suggest a new problem for the UML, contact Steven J. Miller (sjmiller AT math.brown.edu) or Peter Sarnak (sarnak AT math.princeton.edu).