Polymer compositions containing an ultraviolet radiation absorbing polyglycerol that has low fractions of diglycerol chromophore conjugates and that includes a UV-chromophore chemically bound thereto are provided, as well as processes to prepare such polymer compositions that includes preparing a polyglycerol intermediate by polymerizing glycerol removing residual glycerol and low molecular weight fractions from the polyglycerol intermediate to form an enriched polyglycerol intermiedate having low fractions of diglycerol and reacting the enriched polyglycerol intermediate with a UV-chromophore having a complementary functional group to form the polymer composition, and compositions using the ultraviolet radiation absorbing polyglycerol.