Zach received his BA from the University of Pennsylvania and his MFA from Boston University.

He has exhibited in multiple museum exhibitions, such as the UMaine Museum of Art, the Commonwealth Museum, the Gibson House Museum, the Attleboro Arts Museum, the Alexandria Museum of Art, and the Brownsville Museum of Fine Art.  Horn has participated in both solo and group exhibitions with RARE, NY, as well as Scope Art Fairs in Miami and NYC. He has shown with numerous galleries and academic institutions throughout the country (and in Ireland).  His work is represented by Asterisk Projects, New York, NY, Appleton Art & Design, Westport, CT, in the Boston Drawing Project at Carroll & Sons Gallery, Boston, MA, and in the flat files at LaMontagne Gallery, Boston, MA. He is a contributing critic to Collect Magazine, Big, Red & Shiny, and Art Practical (upcoming). He is the recipient of grants from the Blanche E. Colman Trust, the Puffin Foundation, and the UMass Boston Labor Resource Center.

Horn is a Lecturer at the University of Massachusetts Boston and at Boston University.