A polymer, optionally made from renewable sources, comprising a specific chemical structure that is a result of the polymerization of α-hydroxycarbonyl compounds (alpha-hydroxycarbonyl compounds), particularly α-hydroxyaldehydes (alpha-hydroxyaldehydes) and α-hydroxyketones (alpha-hydroxyketones), or glycolaldehyde. A method of polymerization, the method comprising the step of reacting trimethylsilyl trifluoromethanesulfonate with the cyclic dimer of one or more α-hydroxycarbonyl compounds. A method of making said polymer, the method comprising dehydrating a cyclic dimer of one or more α-hydroxycarbonyl compounds. An end-capped polymer made from one or more α-hydroxycarbonyl compounds and terminal end-cap groups.