In his senior year of high school, Stockman adapted The Perks of Being a Wallflower for the stage and directed it as part of the academy's Directors Seminar.
[6] In June 2013, he joined the cast of Peter Askin's film adaptation of Stephen King's novella A Good Marriage, portraying Donnie Anderson.
[7] Stockman returned to Broadway in 2016, playing the role of Timothy Price in the musical American Psycho, written by Duncan Sheik and Roberto Aguirre-Sacasa.
Stockman starred as Steve Rubell in This Ain't No Disco at the Atlantic Theater Company, written by Stephen Trask (Hedwig and the Angry Inch) and Peter Yanowitz (The Wallflowers).
Stockman plays Pete's boyfriend Josh in both seasons of the Netflix original series Bonding, written and directed by Rightor Doyle.