A high-functionality, highly branched or hyperbranched polycarbonate that has a weight average molecular weight of between 3,300 and 150,000, a degree of crosslinking of less than 15%, and a degree of branching ranging from 10% to 99.9%; the polycarbonate being made by a process comprising preparing one or more condensation products (K), and intermolecularly reacting the one or more condensation products (K) to form the polycarbonate.