The rest is entirely up to the students. There are no schedules, no
guidelines, no restrictions; even better, there's not that much to do in
Duluth. So you spend ten weeks thinking about your problem and bouncing
ideas off of your fellow researchers, who are lots of help. Every Monday
you give an informal presentation to Joe and the group on anything you've
come up with during the week; Joe tells Erdos stories. On Wednesdays, Joe
takes everyone to do something crazy and beautiful: rafting, kayaking,
climbing, or power picnicking along lake Superior, all the while telling
amazing stories about past REU's and past lives. The rest of the time is
totally free, and with some effort you can get a whole lot of math done.
Graph theory is an ideal topic for the program because it so accessible and
beautiful, and because there is a huge amount of unexplored room to
investigate. Finding problems and asking your own questions is not
difficult and very fruitful. None of the participants this summer had
prior knowledge of graph theory, yet by the end of the summer, everyone
submitted one or two papers to graph theory journals for publication.
Duluth provides a relaxing environment, great resources, and the time to
concentrate intensely on really good problems. To get more information and
an application, email to Professor Gallian at jgallian@ub.d.umn.edu. I am
also happy to answer any other questions you have.
--Matteo Paris (paris@math)