Wyman was born in Portland, Maine and raised in Summit, New Jersey and attended Harvard University.
[1] Wyman received his big break as Freddy in the 1981 revival of My Fair Lady which starred original Higgins Sir Rex Harrison.
He later created the role of Firmin in the Broadway production of The Phantom of the Opera.
He featured in Die Hard with a Vengeance as Hungarian terrorist and explosive expert Mathias Targo.
In 2008, he was cast as John Barsad in the Broadway musical adaptation of A Tale of Two Cities, at the Al Hirschfeld Theatre in New York.