The Hampshire College Summer Studies in Mathematics (HCSSiM) is an American residential program for mathematically talented high school students. The program has been conducted each summer since 1971, with the exceptions of 1981 and 1996, and has more than 1500 alumni.
The program was created and is still headed by Professor David C. Kelly.
The program is housed at Hampshire College in Amherst, Massachusetts, and generally runs for six weeks from early July until mid-August. The program itself consists of lectures, study sessions, math workshops (general-knowledge classes), maxi-courses (three-week classes run by the senior staff members), and mini-courses (specialized shorter classes).
On a typical day, students spend the morning in class, have lunch together with the faculty, and then have several hours to use at their leisure. They return for the "Prime Time Theorem" (an hour-long talk on an interesting piece of mathematics given by a faculty member or a visitor), have dinner, and then spend a few hours solving problems. One of the instructors blogged the content of her class.
Many students go on to professional careers in mathematics. An occasional publication has resulted from work done at the program. Well-known alumni of the program include two MacArthur Fellows, Eric Lander and Erik Winfree, as well as Lisa Randall, Dana Randall, and Eugene Volokh. Many alumni return to the campus for a few days around Yellow Pig's Day (July 17) of each year. This observance was formalized for 2006 in "Yellow Pig Math Days," which was conducted in observance of 2006 being the 34th offering of the HCSSiM Program (34 being a multiple of 17).
The Summer Studies has been funded in the past by the American Mathematical Society and the U.S. National Science Foundation.