Heffernan has received a number of grants and fellowships over the years including a Thomas R. Proctor Prize from the National Academy Museum in New York City, New York Foundation for the Arts Fellowship (NYFA), a National Endowment for the Arts (NEA), and a Fulbright-Hayes Grant to West Berlin. Heffernan’s work has been published and reviewed in major newspapers and periodicals including: The New York Times, The New Yorker, The New York Observer, The New York Sun, Artforum, Art in America, Art News, Flash Art, Harpers, The Chicago Tribune and Art and Auction.