Crosslinkable polymers having about 1 to 100% of units derived from an unsaturated ester of furoic acid of the formula: ##STR1## where R denotes hydrogen or an alkyl group, R' denotes a straight-chain or branched alkylene group and n denotes an integer from 1 to 4, and 0 to about 99% of units from an unsaturated monomer which is copolymerizable with the ester. The crosslinkable polymers may be in the form of latices. The crosslinkable polymers are prepared by polymerization of the unsaturated ester of furoic acid and, if appropriate, an unsaturated comonomer, in aqueous emulsion. The polymers and latices can be used in the manufacture of coatings.