In 1993 Burgess opened his own studio, Black Box, in La Dionnaie, France, located in the countryside of the Anjou region, but he's best known in Chicago for the work he did in the late 80s as a control-room accomplice to postpunk bands like Naked Raygun, Big Black, and the Effigies. His aesthetic—walloping, aggressive, heavy on room sound—helped put the local underground scene on the international map. He continued to make sonically bold records at Black Box, including albums by Shellac, Nina Nastasia, and Uzeda. Condolences go out to his family and friends.
UPDATE: Yesterday Steve Albini posted this reminiscence of Burgess on the Electrical Audio website.