Though the Lobos played most of the game from behind, they actually had a two-point lead with 7:55 left after Jamal Fenton hit a three. But that shot spurred a decisive 12-4 Crimson run, fueled by five points from Laurent Rivard.
From there, Harvard began to build on its lead. Siyani Chambers made it an eight-point game with 2:18 left at 63-55, before Jamal Fenton quickly answered with a three.
But it was not enough. Wesley Saunders led Harvard with 18 points and Rivard added another 17. As a team, the Crimson were 16-20 from the foul line and took care of their freebies to keep the Lobos at arms' length. Harvard also shot the ball well from three at 44 percent and the Lobos made just three of their 14 attempts.
Alex Kirk had 22 points and 12 rebounds to lead New Mexico, whose 29-win season came to an end in disappointing fashion.
But with the win, Harvard, who was not even picked to win the Ivy League this year, advanced to face Arizona in the third round on Saturday. The Wildcats defeated Belmont earlier in the evening.