Heymann's architecture has been published in journals including Architecture, Architectural Record, Architectural Digest, Metropolis, Progressive Architecture, and Texas Architect. His design awards include a PA Award citation from Progressive Architecture magazine in 1994 for the design of Ontario Bible Church (now Oakwood Bible Church), one of two churches Heymann designed in collaboration with Laura Miller and Michael Underhill in Ames, Iowa. In 2000, Heymann was selected by the Architectural League of New York for inclusion in its "Emerging Voices" series. Heymann received the 13th Annual Heinz Award in the Human Condition in 2007. In 2014, he was elevated to the College of Fellows of the American Institute of Architects (AIA), the professional organization for architects in America.