Scrivens joined the Cornell Big Red for the 2006–07 season. He played in 12 games, starting eight and recording three wins. He recorded his first collegiate shutout in a 6–0 win against Union College. During his sophomore season at Cornell, Scrivens established himself as the team's starting goaltender, playing in 35 of the team's 36 games. For the week of December 3, 2007, Scrivens was named the ECAC Hockey goaltender of the week. He was an honorable mention All-Ivy League after the season. He won 19 games, and finished with a 2. 30 GAA and . 911 save percentage. Scrivens retained his starting job with the Big Red during his junior season, and joined the ranks of top NCAA goalies across the country. He played in 36 games with the Big Red, recording 22 wins, a GAA of 1. 81 and a . 931 save percentage. Scrivens picked up many awards for his playing during the 2008–09 season, including being named the National Player of the Week for the first week of the season, as well as second team All-ECAC and an honorable mention All-Ivy League at the end of the season.