He played college golf at Louisiana State University. Peterson turned professional in 2011. Peterson qualified for the 2012 United States. Open through sectional qualifying.
In the third round, he was paired with his mentor and fellow Louisiana State University alum David Toms, and Peterson also got a hole in one at the par 3 13th hole.
He finished the tournament tied for fourth, which earned him exemptions to the 2013 Masters Tournament and United States. Open. Peterson was a sponsor"s exemption at the Travelers Championship the following week on the back of his performance at the United States. Open.
In 2013, Peterson became the first active Web.com Tour member to compete in the Masters. He earned conditional Web.com Tour status for 2013 based on his 2012 Professional Golf Association Tour non-member earnings ($327,091), which was equivalent to 172nd on the 2012 Professional Golf Association Tour money list.
He played in the Web.com Tour Finals and finished first to earn a fully exempt Professional Golf Association Tour card for 2014.
He finished seventh in the Web.com Tour Finals to earn his Professional Golf Association Tour card for the 2014-2015 season. 2011 National Collegiate Athletic Association Division I Championship, Jones Cup Invitational DNP = Did not play CUT = missed the half-way cut "T" indicates a tie for a place Yellow background for top-10.