One of the foremost teachers of Limón technique, Cratty held guest positions on the faculties of colleges and universities throughout America including University of California at Santa Barbara, University of Illinois at Urbana-Champaign and Harvard. He set his works on several companies including Ballet Rambert, Hubbard Street Dance Company, and other regional American groups. He appeared on Broadway in the musical, Jerome Robbins' Broadway. He also performed with Mikhail Baryshnikov's White Oak Dance Project.
