The present invention provides inventive polyol-based polymers, materials, pharmaceutical compositions, and methods of making and using the inventive polymers and materials. In certain aspects of the invention, an inventive polymer corresponds to a polymer depicted below. Exemplary inventive polymers includes those prepared using polyol units (e.g., xylitol, mannitol, sorbitol, or maltitol) condensed with polycarboxylic acid units (e.g., citric acid, glutaric acid, or sebacic acid). The inventive polymers may be further derivatized or modified. For example, the polymer may be made photocrosslinkable by adding methacrylate moieties to the polymer.