Green is a champion of new music for the wind band, and has commissioned works by such composers as Eric Whitacre, Michael Colgrass, Kenneth Fuchs, David Maslanka, Mark Camphouse, and Christopher Rouse.
On 29 March 2007, he premiered Rouse's Wolf Rounds at Carnegie Hall in New York with the University of Miami-Frost Wind Ensemble.
In February 2006, he conducted the East Coast Premiere of David Maslanka's Mass after the composer's 2005 revision, which was performed by the University of Miami School of Music's Frost Wind Ensemble, Choral Union, and Miami Children's Chorus, featuring soloists Janice Chandler-Eteme, soprano and Jeffrey Morrissey, baritone.
His recent conducting activities include events in Florida, Texas, Connecticut, Kansas, Maryland, Georgia, Utah, Virginia, Washington, and others.
In addition, he has conducted all state, regional, national, and international honor bands, most notably in Taipei, Taiwan.