Green won the 2005 Big East Rookie of the Year award along with Rudy Gay of the University of Connecticut. He was named to the All-Big East Second Team in 2006 along with teammate Roy Hibbert. In 2007, Green was named the Big East Player of the Year. He and Hibbert were unanimous selections to the All-Big East First Team. After his 30-point performance in the 2007 Big East Tournament semifinal against Notre Dame and his 21-point performance in the championship against Pittsburgh, Green was named Most Outstanding Player of the tournament, as the Hoyas won their first Big East title since 1989. He led the Hoyas to the Final Four of the 2007 NCAA Tournament, beating Belmont and Boston College in the first two rounds. Green beat Vanderbilt with a game-winning shot after a controversial no-call in the game's closing seconds as well as fearlessly leading the Hoyas to victory against No. 1 seed UNC in a stunning second-half comeback victory and bringing the Hoyas back to their first Final Four since Patrick Ewing led them to the 1985 National Championship game. The Hoyas eventually lost to Greg Oden and the Ohio State Buckeyes, bringing their remarkable title run to a close as well as Green's collegiate playing career, as he chose to forgo his senior year and entered the NBA draft. Green spent the next four summers taking classes at Georgetown and graduated in 2012 with a degree in English and a minor in theology.