In this video from June 2014, Robin Pekham, who co-curated the exhibition Art Post-Internet with Karen Archey, gives a comprehensive description of post-internet art and the considerations that went into producing the exhibition.
He provides many names for further reference; notably, the main contributors to the literature on post-internet art (Artie Vierkant, Seth Price, and Brad Troemel) and the leading philosophers whose theories influence and validate the practice (Graham Harman, Reza Negarestani, and David Joselit).