Adam is composer and co-lyricist of the documentary opera/musical London Road which had an extended run at the National Theatre and then transferred for a 2012 run in the Olivier auditorium. A film version of the show, directed by Rufus Norris and starring Tom Hardy, Olivia Colman and Janet Henfrey, was released to critical acclaim in 2015.

Adam also scored the Michael Grandage feature film Genius, starring Colin Firth, Jude Law and Nicole Kidman. Television credits include the critically acclaimed Richard II from the BBC’s Hollow Crown trilogy, starring Ben Whishaw and directed by Rupert Goold.

Adam received a Tony Award in 2010 for his music and sound score for Red (Donmar/Broadway) and an Olivier Award in 2011 for King Lear (Donmar). Adam was also nominated in 2010 for the Tony Award for Best Score (Music & Lyrics) for Enron (Broadway/West End).

Other award nominations include the Tony Award Best Sound Design of a Play for both Macbeth (2008) and Enron (2010), an Olivier nomination for Best Sound Design for Suddenly Last Summer (2005) as well as four Drama Desk nominations: Outstanding Music in a Play for Frost/Nixon (2007) and Red (2010) and Outstanding Sound Design for Macbeth (2008) and Enron (2010).

He was awarded the 2011 Evening Standard Award for Best Design for Anna Christie and King Lear and the 2011 Critics' Circle Award for Best Musical for London Road.