Green's music is characterized by its use of extended techniques, unusual instrumentation, and a wide range of musical influences. He often draws on folk music, jazz, and experimental music in his compositions, and his work is often described as being "genre-bending" or "post-classical."
Green has received numerous awards and honors for his work, including the Royal Philharmonic Society Music Award for Young Composers in 2007. He was also a composer-in-residence at the BBC Symphony Orchestra from 2009 to 2011.
In addition to his work as a composer, Green is also a conductor, pianist, and teacher. He has conducted orchestras and ensembles around the world, and he is currently a professor of composition at the Royal Academy of Music.
Green's music has been praised for its originality, its emotional depth, and its technical virtuosity. He is considered one of the most exciting and innovative composers of his generation.