He holds degrees from the University of Colorado at Boulder (BA) as well as ICP Bard College (MFA) and attended the Escuela Internacional de Cine y Televisión (EICTV) in Cuba. His pictures and films have been exhibited at venues including the Aperture Foundation, Baxter St. Camera Club, Arsenale di Venezia, Newspace Center for Photography, International Center of Photography, Lianzhou Foto, and Volta NY. Costa has curated and organized a number of exhibitions, books and zines including group shows at Baxter St. Camera Club of NY and Foley Gallery. His work has appeared in The New York Times, Self Publish Be Happy, VICE, Visual Studies Workshop Journal, and Musee Magazine. In 2014, Costa co-founded the artist-run publishing collective Silent Face Projects.