The host Orange (5-3, 1-3 Atlantic Coast Conference) got early separation, but the Fighting Irish (4-3, 2-1) rallied in the fourth quarter.
Notre Dame fell behind 10-7 with 13:41 remaining in regulation but responded with three straight goals in less than three minutes. The score was tied at 10 with 6:29 left in the game.
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"For Notre Dame to come in here having the success they've had, especially their stingy defense, and we were able to put up double figures — that was big," Syracuse coach John Desko said.
Rice and Notre Dame's Conor Doyle (Gilman) finished with four goals.
Connor Buczek had career highs in points (eight) and goals (six) in just under three quarters, while John Hogan (St. Mary's) matched a career best with four assists.
Dan Lintner had three goals, while John Edmonds finished with one goal and one assist.
Cornell had 16 players score at least one goal as coach Matt Kerwick went to his bench with four minutes remaining in the third quarter.
The win marks the 500th victory in program history. Duke led 10-4 at the half, and the teams traded goals in the second half.
Duke stretched its home win streak to 10 games, dating to March 2, 2013.
Jeff Fountain (St. Paul's) had a hat trick for Georgetown, which led 3-2 before Denver's 6-0 run over the first two quarters. Berg started the rally with back-to-back goals with 1:27 and 12 seconds left in the first quarter.
The Hoyas and Pioneers traded goals through the third quarter, with the Hoyas trailing 11-7 at quarter's end.
No. 11 Bryant 9, Richmond 6: Kevin Massa went a 19-for-19 in faceoffs as the Bulldogs (8-2) beat the Spiders (2-8) in Cold Spring Harbor, N.Y.
Bryant opened with a 3-0 run, and Cody O'Donnel increased the lead to 5-1 with 14:29 left in the first half.
Albany improved to 4-4, 1-0, while Vermont dropped to 5-4, 0-1. Lyle Thompson had a game-high five goals for the Great Danes.
No. 13 Fairfield 9, Bellarmine 3: Tristan Sperry and Eric Warden each scored two goals to lead the Stags (7-2, 1-0 Eastern College Athletic Conference) past the host Knights (4-4, 0-4).