This document discusses the modification of polymers with carbon nanotubes to produce polymer-carbon nanotube composites. It first introduces different types of carbon nanotubes and discusses challenges in dispersing carbon nanotubes in polymer matrices due to their low compatibility. It then covers various methods used to functionalize carbon nanotubes and polymers to improve their interaction and dispersion, including covalent and non-covalent attachment of polymers to carbon nanotube surfaces. The document also discusses applications of these composites, particularly for reinforcing polymers like polyethylene, and their potential use in radiation shielding and resistant materials.