A curable emulsion comprises: an oil phase comprising blocked polyisocyanate and curative; and an aqueous phase comprising at least partially neutralized crosslinked copolymer of monomers comprising at least one free-radically polymerizable carboxylic acid and at least one of an alkyl or alkaryl (meth)acrylate. In some embodiments, the curable emulsion further comprises nonionic surfactant. Methods of making the curable emulsions and their use in the manufacture of abrasive articles are also disclosed.