PROMYS


Structure of the program

PROMYS is a challenging program designed to encourage ambitious high school students to explore the creative world of mathematics. Each summer, approximately 60 high school students from around the country gather on the campus of Boston University for six weeks of rigorous mathematical activity. Through their intensive efforts to solve an assortment of unusually challenging problems in Number Theory, participants will practice the art of mathematical discovery. The day begins with the Number Theory lecture which meets Monday through Friday from 9:00 a.m. to 10:00 a.m. The more experienced students will also attend advanced classes. In 2003, PROMYS and the Clay Mathematics Institute will offer the following advanced seminars for returning students: Geometry and Symmetry, Abstract Algebra, and Combinatorics. The students spend most of the remainder of their time working independently or in small groups on problem sets distributed at the end of each class meeting. The problems will encourage students to design their own numerical experiments and to employ their own powers of observation to discover mathematical patterns, to formulate and test conjectures, and to justify their ideas by devising their own mathematical proofs. Students are advised by resident junior and assistant counselors who have just graduated high school, as well as college-aged counselors who are embarking on their own mathematical careers at some of our nation's finest universities (Brown, California Institute of Technology, Harvard, MIT, Princeton, Stanford, Rochester Institute of Technology, SUNY, Stonybrook, University of Chicago, and Yale, among others). In addition, the returning students, who share dormitory rooms with the first-year students, are a constant source of helpful hints and suggestions. Senior mathematicians provide an additional resource for students by holding problem sessions for groups of 11-12 up to three times per week.

Advanced seminars and the Clay Mathematics Institute

Students who find their PROMYS experience especially worthwhile may be invited to return for a second summer to participate in the advanced PROMYS/CMI activities. To ensure that returning students and counselors find their experience intellectually stimulating, PROMYS, in partnership with the Clay Mathematics Institute, offers a variety of advanced seminars and research projects each summer. In 2003, returning students may join seminars on Geometry and Symmetry, Abstract Algebra, and Combinatorics. In addition, counselors and advanced students organize their own seminars on topics of their choosing.

Other Activities

The regular program activities are supplemented by diverse weekly lectures by faculty preceptors and guests of the program. These lectures introduce participants to related scientific fields and include discussions of career development and the ethics and philosophy of science. Additionally, the counselors give lectures on topics of special interest and also hold their own seminars every week. Every week, the program members hold informal social gatherings which serve as a forum for open discussions on themes of general interest. Discussion topics include the relationship between pure and applied science, defense funding of mathematics, and career options. Special activities include visits to the MIT robotics laboratory and nuclear reactor, the Boston Museum of Science and the Boston Computer Museum. Additionally, counselors and faculty plan numerous activities that vary from year to year and are organized according to demand.

Goals

In mathematics, maybe more than in any other science, research is an activity of the mind. The primary goal of the mathematician is to understand - to discover essential ingredients of complex systems in order to render them simple, to find order within apparent chaos, to draw analogies between different structures, and to find connections between seemingly disparate branches of mathematics and science. To make interesting new contributions in the field of mathematics requires a healthy mix of creativity, experience and hard work. The PROMYS program aims to provide an environment for talented young people that will arouse their curiosity and encourage a deep personal involvement with the creative elements of mathematics and science. It is designed to encourage habits of thought that will lead to scientific independence and creativity. At the same time, it seeks to foster interaction between the PROMYS community and the larger community of research mathematicians and scientists currently working in academia and industry.

History

The PROMYS faculty is largely composed of former participants of a Secondary Science Training Program sponsored by the National Science Foundation during the sixties and seventies at the Ohio State University in Columbus. That SST program, begun by Arnold Ross in 1957, can proudly point to a long list of alumni who are now actively working in careers in science, mathematics, engineering, computer science, economics, medicine and many other mathematics- related fields. Our own experience in that program has provided us with a theoretical model for PROMYS. We have adapted aspects of the Ohio State Program to our own environment at Boston University, and have introduced strategies for the discovery of bright and eager young students from all backgrounds.

Further details of the program can be found at the Promys website:

http://math.bu.edu/people/promys/