Taylor Swift and actor Jake Gyllenhall are not dating, according to a story posted Tuesday (Jan. 4) on People.com. The publication cited an unnamed source, who said their relationship ended last month. Swift's publicist was unable to comment to CMT.com about the story. Last fall, Swift and Gyllenhall had been seen together publicly in Los Angeles, Nashville and New York. Swift celebrated New Year's Eve in Nashville while Gyllenhall was seen having dinner with his mother in New York City on Sunday (Jan. 2), according to the story.