For the past two seasons, the Harvard men’s hockey team had to look up at its archrival Yale.

When Yale was on its way to an N.C.A.A. men’s hockey title two years ago, Harvard was struggling to a 10-19-3 record.

Last season, Harvard endured a 10-17-4 record, going 0-4-1 against Yale and being outscored by 18-6.

But entering Saturday night’s game against Yale at Madison Square Garden, Harvard was 10-1-2 and ranked third in Division I, riding a seven-game winning streak. That one loss? To Yale, of course.

Still, the pieces have been falling into place this season for Harvard Coach Ted Donato. Led by the junior forward and leading scorer Jimmy Vesey and his linemates Alexander Kerfoot and Kyle Criscuolo plus the senior goaltender Steve Michalek, Harvard is outscoring opponents by more than two goals a game, the largest margin in Division I. The Crimson have road victories over four top-10 opponents including Boston University, Boston College and Massachusetts-Lowell.