Students constantly work together and discuss the problems. This brings us to the role of counselors. I commented on their problem sets, and discussed their work with them. We talked about the course and tried to resolve some difficulties. Besides his or her five students, the counselor is responsible for all of the students in the program.
Students work with students, students work with counselors, counselors work with counselors.
Working with the other counselors was also a great experience. The number theory problem sets are extremely interesting, both in the problems themselves, and in the way that they are organized to lead up to important results. As a counselor, there is much opportunity to learn a lot of math. Besides the number theory problem sets, the more advanced courses are of interest to counselors. There are also seminars that counselors put on for themselves.