In 1997, Greenway won the Larry Levis Editor's Prize from Missouri Review , and in 1994 he was named the Georgia Author of the Year. Greenway also received the Open Voice Poetry Award from The Writer's Voice . He received his bachelor's from Georgia State University and has a Ph.D. in modern literature and poetry from Tulane University. Greenway appears at UTSA as part of the Creative Writing Series, which features prominent writers each spring. The series is co-sponsored by the College of Liberal and Fine Arts, Advisory Council Member Jerald Winakur and the Division of English, Classics, Philosophy and Communication.
Admission is free and open to the public.