One aspect of the present invention relates to a method for the kinetic resolution of racemic and diastereomeric mixtures of chiral compounds. The critical elements of the method are: a non-racemic chiral tertiary-amine-containing catalyst; a racemic or diastereomeric mixture of a chiral substrate, e.g., a cyclic carbonate or cyclic carbamate; and a nucleophile, e.g., an alcohol, amine or thiol. A preferred embodiment of the present invention relates to a method for achieving the kinetic resolution of racemic and diastereomeric mixtures of derivatives of α- and β-amino, hydroxy, and thio carboxylic acids. In certain embodiments, the methods of the present invention achieve dynamic kinetic resolution of a racemic or diastereomeric mixture of a substrate, i.e., a kinetic resolution wherein the yield of the resolved enantiomer or diastereomer, respectively, exceeds the amount present in the original mixture due to the in situ equilibration of the enantiomers or diastereomers under the reaction conditions prior to the resolution step.