Before coming to the Hilltop, Greenman was an assistant coach at Princeton from 2007-10, where he helped orchestrate the biggest two-year turnaround in the history of the program. He was instrumental in building a team that would eventually win the Ivy League Championship and play in the 2011 NCAA Tournament.
In 2009, Greenman was selected Head Coach of the U.S.A. U-18 Maccabiah Team. The team spent the month of July in Israel competing in the Maccabiah Games (held every four years, where they won a silver medal.
Prior to coaching, Greenman spent the 2006-07 season playing professionally in Israel for B'nei Ha'sharon, helping lead his team to a final four finish in both the Israeli Premier League Championship and the Israeli Cup.
Greenman played collegiately at Princeton from 2002-06. In his senior year, he averaged nearly 15 points and 5 assists per game during the Ivy League season, leading the Tigers to a 10-4 conference record. He was named a unanimous first team All-Ivy selection in 2006 and was also named to the Academic All-Ivy League Team. During Greenman's sophomore year, he started every game and made a team-high 42 three-pointers en route to helping Princeton win the Ivy League and reach the 2004 NCAA tournament.
Greenman earned a bachelor's degree in sociology from Princeton in June 2006.