His saxophone teachers include Orville Kiltz, Sigurd Raschèr and William Willett.
Wyman's saxophone students number over 100 and many have gone on to professional success as performers and teachers.
He has performed and lectured across the United States and in countries in the Middle East, Southeast Asia, and South America.
Wyman wrote two books, one on the acoustics of saxophone mouthpiece design and the other on difference-tones and their use in tuning harmonic intervals.
Through funding provided by the State University of New York (SUNY), he developed one of the largest university collections of music, books, and recordings pertaining to the saxophone, housed in SUNY Fredonia's Reed Library.