Through their work on these problem sets, first year students will find many opportunities to personally experience the art of mathematical exploration. For the more experienced returning students, we are planning a rich assortment of seminars and research activities. In recognition of the central role that independence of mind and spirit plays in creative scientific research, all advanced seminars will offer open-ended problems for students who would like to engage in independent mathematical exploration. Counselors may be asked to help students in some of these explorations. During the program, counselors are invited to study mathematics independently by participating in seminars and interacting individually with the faculty.
All suggestions are welcome.
We expect to hire a total of 15 counselors. Each counselor will grade the daily homework in Number Theory for three or four students. More importantly, counselors will be available to help students through informal discussions as questions arise. We rely on counselors to create an intense atmosphere of interaction crossing many levels of mathematical experience. Consistent with this goal, counselors and participants will be housed together on campus.