Taylor Swift performed her song ?New Year?s Day,? on Jimmy Fallon?s, ?The Tonight Show.? Fans and critics agree that ?New Year?s Day? is her best song from her new album, ?Reputation.? Her performance was especially raw, because Fallon had just given an emotional tribute to his mother who had passed away only a few weeks ago. Fallon admitted that his mother used to squeeze his hand when she wanted to tell him she loved him.