He additionally taught at the Aspen Music Festival and School from 1976 until 1990, and began teaching at the University of Texas at Austin in 1978.
He founded the UT New Music Ensemble and served as the assistant conductor of the Austin Symphony Orchestra from 1980 until 1990.
[5] Welcher's compositions include concertos, symphonies, vocal literature, piano solos, and various kinds of chamber music.
For several years, Welcher hosted a weekly radio series called Knowing the Score, aimed at introducing listeners to contemporary classical music.
[8] Welcher held the Lee Hage Jamail Regents Professorship in Composition at the University of Texas, teaching music composition, and served as director of the UT New Music Ensemble until his abrupt departure in 2019 following numerous allegations of sexual misconduct as reported in a September 26, 2019 article in VAN Magazine.