Alexander received a co-credit for his composition work on the Warner Brothers movie Unknown directed by Jaume Collet-Serra (starring Liam Neeson, Diane Kruger, January Jones and Aidan Quinn). Other credits include working on the final season of Michael Giacchino's score for the hit television series Lost. He also composed and conducted the score for the award-winning short Thule directed by Robert Scott Wildes.Alexander has been the featured UK Composer in the International Artists Workshop for the European Union. His concert works have been performed throughout Europe, UK and the U.S.A. His theatre work includes numerous commissions from The Royal National Theatre, The Old Vic and The Barbican and he has written and collaborated on musicals including 'Force 9 & ½' with John Nicholson (Peepolykus) which won a Musical Theatre Award at the Edinburgh Festival and three commissioned musicals collaborating with writer and lyricist Jenifer Toksvig.

Alexander’s latest collaboration is a timeless collection of new standards co-written with academy-award-winning lyricist Don Black (Diamonds Are Forever, The Man With The Golden Gun). The album entitled Stay Away From Stars was recorded with the English Session Orchestra at Abbey Road Studios, featuring the vocals of Mica Paris, Mairead Carlin and Polly Gibbons.