A member of the Sarasota Music Festival faculty since 2000
Dunham is a viola professor at Rice University's Shepherd School of Music. He formerly served on the faculty of the New England Conservatory, Eastman School of Music, Aspen, Amelia Island, le Domaine Forget (Quebec). Dunham is an international recitalist and guest artist, and has been the guest principal viola with the Boston and Dallas Symphonies. He is a former member of the Grammy Award–winning Cleveland Quartet and Naumburg Award– winning Sequoia Quartet. Dunham's long list of collaborations includes work with the Guarneri, Juilliard and Tokyo Quartets. He recorded and premiered Libby Larsen's Viola Sonata (2001) and Sifting through the Ruins (2005) for viola, mezzo soprano and piano. He also was the guest violist on the Ying Quartet's 2008 Grammy-nominated CD of Tchaikovsky's Souvenir de Florence. He recorded Glyph (for solo viola and piano quintet) by Judith Shatin and Bach's Gamba Sonatas with harpsichordist John Gibbons.