Losco tallied his second goal of the game early in the frame and senior midfielder Alek Ferro scored with two minutes to play, sending the teams into the half even at five.
Harvard was quick out the gates in the second half, as it took just 25 seconds for freshman defenseman Jack Breit to score his second goal of the season.
But Adler struck back less than a minute later to even the game at six. The Crimson again went up one on an unassisted goal from senior midfielder Andrew Pataki, but it was the last lead Harvard would have.
The Quakers reeled off four straight third-quarter goals to go ahead 10-7. The run was bookended by Conneely, who scored his second goal with just over eleven minutes to play and completed a hat trick five-and-a-half minutes later.
The Crimson answered as Cohen assisted on a goal from junior attackman Jack Walker and then completed his own hat trick with one second to play in the frame, sending Harvard into the fourth quarter trailing by one.
But the deficit got no smaller. Adler scored consecutive goals to put the Quakers ahead, 12-9.
Will Walker offered some last minute hope for the Crimson as he cut the deficit to two with three minutes to play, but Penn held strong down the stretch to earn the win.
“It’s definitely a disappointing loss, especially after starting the game so well,” Cohen said.
The Quakers were bolstered by a slight possession advantage, winning 15 of 26 faceoffs and picking up 31 ground balls to the Crimson’s 25.
Harvard was outshot, 48-41, for the game, and its offense was often stymied by the efforts of Penn goalkeeper Brian Feeney, who saved 13 of 24 shots on goal.
The Crimson, which holds a one-game lead over fifth-place Brown in the Ivy League standings, takes on first-place Princeton on Saturday at Harvard Stadium.
—Staff writer James M. Acer can be reached at jacer@college.harvard.edu.