Former Cincinnati Mayor Mark Mallory may run for mayor in 2021 Former Cincinnati Mayor Mark Mallory told the Cincinnati Enquirer he’s pulling petitions Tuesday to run for Cincinnati mayor. By Sharon Coolidge | December 22, 2020 at 12:46 PM EST - Updated December 22 at 12:46 PM CINCINNATI (CINCINNATI ENQUIRER) - Former Cincinnati Mayor Mark Mallory said he’s pulling petitions Tuesday to run for Cincinnati mayor. He’s not 100% sure about a 2021 mayoral run, but he said he’s seriously considering running and wants to be in a position to do so. Mallory, who was Cincinnati mayor from 2005 to 2013, is the son of William Mallory Sr., who was a longtime state lawmaker and the first Black to serve as Ohio House Majority Leader.