His buildings in Winchester included the New Corn Exchange (now a public library), with a central portico modelled on that of Inigo Jones' St Paul, Covent Garden. Describing the front of the building, The Gentleman's Magazine said that Carter had "endeavored to avoid the flimsy effect of the modern Grecian school, and to keep in view the more legitimate style of design inculcated by Palladio in Italy, and at home by our own countrymen, Jones and Wren." In 1845 he restored the Great Hall of the Royal Palace at Winchester, renewing the stonework of the parapet and gables, and the plate tracery in the windows, removing the late 18th-century wooden window frames, and replacing the Georgian brick porch with one of a Gothic design.
