Mandy Moore, Ryan Adams

Well, that was quick.

A month after getting engaged, Mandy Moore and Ryan Adams have tied the knot, Moore's rep confirmed to People. The couple said "I do" in Savannah, Ga.

Moore and Adams applied for a marriage license on Tuesday in the Chatham County Probate office in Savannah.

Singer-actress Moore describes her rocker husband as a "good egg," in the April issue of Marie Claire. "I'm in awe of him: his brain, his passion," Moore said. "He's truly one of a kind."