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Richtmeyer earned her B.M.E. and M.M. at Northwestern University, where she studied with Frederick L. Hemke. She has served as professor of saxophone at the University of Illinois at Urbana-Champaign since 1991. Prior to her appointment at the University of Illinois, she served as saxophone professor at the University of North Texas College of Music from 1981 to 1991 and at the Lawrence University Conservatory of Music from 1980 to 1981.
Richtmeyer is a past president of the North American Saxophone Alliance. In 1997 she became the first woman to perform as a concerto soloist with orchestra at a World Saxophone Congress, and in 2009 the first woman to teach a master class at the congress. Richtmeyer is a Selmer Paris saxophone artist.
A renowned pedagogue, Richtmeyer received the University of Illinois 2002 Campus Award for Excellence in Graduate and Professional Teaching and the University of Illinois College of Fine and Applied Arts 1997 Faculty Excellence in Teaching Award.
Richtmeyer was saxophonist with the Dallas Symphony Orchestra in performances and recordings from 1981 to 1991 and has performed with ensembles such as the St. Louis Symphony Orchestra, the U.S. Navy Band, the Indianapolis Symphony, and the Zlin Philharmonic. She has performed as soloist and given master classes throughout North America and Europe and in Thailand. She has had numerous compositions written for her.
- Light of Sothis, Mark Records. Works by Tom Bourcier, Scott Wyatt, Cindy McTee, Paul Martin Zonn, Steven Everett, and Amy Quate
- Extravaganza for Saxophone and Orchestra, Albany Records. Works by David Ott, Richard Strauss, Sergei Rachmaninoff, and Alexander Glazunov
- World Without Words: Debra Richtmeyer and the University of Illinois 2008–2009 Saxophone Studio, Mark Records. Works by Hilary Tann, Keith Murphy, Erik Lund, Ed Martin, Dieter Mack, Henning Schröder, James Bunch, Stephen Andrew Taylor
- Kenneth Tse, Saxophone Professor at the University of Iowa
- Keitaro Harada, Opera and Orchestra Conductor
- Michael Holmes, Artist-Teacher of Saxophone and Head of Woodwinds at Roosevelt University Chicago College of Performing Arts and Director of Marketing for the North American Saxophone Alliance
- Vanessa Sielert (saxophonist), Associate Professor of Saxophone, Associate Director University of Idaho Lionel Hampton School of Music
Dr. Jackie Lamar, Saxophone Professor at University of Central Arkansas,