Taylor Swift's current boyfriend is actor Joe Alwyn. Like Swift, he maintains a relatively private and mysterious public persona. Alwyn got his big break with 2016's "Billy Lynn's Long Halftime Walk" and has a growing career as a model. The two have been dating since at least fall of 2016. Swift reportedly went on dates with him while wearing a wig to protect their privacy. Alwyn doesn't use Instagram at all and was living with his parents until last year.