Clay Mathematics Institute (CMI) sponsors the Clay Mathematics Research Academy to "inspire young people with the thrill of working on the frontiers of mathematical research." Each year, twelve high school students are recruited and a Colloquium is held at CMI headquarters in Cambridge, Massachusetts. After the intense 8-day seminar, participants continue their work using iResearch, a web-based collaborative tool suite designed by the Academy. The 2004 Academy Colloqium Series was held March 19 - 26 and addressed topics such as Evolutionary Game Dynamics, The Number Theory of the Upper Half Plane, Quantum Computing, and The Mathematics of Google. Brief descriptions of the presentations and some lecture notes are available online.