After working with photographer Paul Caponigro, Hausman found a job at DuArt Film & Video where he produced four documentaries about painting, sparking an interest in filmmaking.
Among the most prominent films Hausman has worked on are those directed by Milos Forman, with whom Hausman has worked with for over 30 years. Hausman has acted as either a Producer, Assistant Director or Production Manager on such Milos Forman films as Taking Off (1971), Hair (1979), Ragtime (1981), Amadeus (1984), Valmont (1989), The People vs. Larry Flynt (1996), Man on the Moon (1999) and Goya's Ghosts (2006). Other career highlights include work as the UPM on The Heartbreak Kid (1972), The Firm (1993) and Gangs of New York (2002); and assistant director for such films as Eternal Sunshine of the Spotless Mind (2004), Brokeback Mountain (2005), Recount (2008), Taking Woodstock (2009) and The Green Hornet (2011). Hausman serves as the Co-Chair of the Producing Department at La Escuela Internacional de Cine y Televisión (EICTV) and is president of the production company Cinehaus, Inc. Additionally, Hausman is a professor at Columbia University's Graduate School of the Arts in their Producing program.
Hausman has been on the directorial teams of three films that have won a DGA Award; Amadeus and Brokeback Mountain for Feature Films, and Recount in the Movies for Television category. Hausman has also won a Primetime Emmy as a producer on Recount.