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.
"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).
Bellarmine took a 2-0 lead before Fairfield scored the next seven, starting with 1:47 left in the first quarter and ending with 14:07 in the fourth.
Brown 11, No. 15 Princeton 10: The visiting Tigers (4-4, 1-2 Ivy), led by Tom Schreiber with a hat trick, scored five goals over three minutes late in the fourth, but the rally fell short.
Kylor Bellistri had three goals for the Bears (6-3, 1-1). Jack Kelly made 16 saves to anchor the defense, including seven in the final quarter as Princeton rallied from a five-goal deficit. Princeton goalie Matt O'Connor finished with nine saves.
No. 16 Penn 6, No. 14 Yale 5: Isaac Bock scored twice during a 4-0 run in the second half, as the Quakers (4-3, 1-2 Ivy) took the lead for good and held off the host Bulldogs (4-3, 1-2).
Yale took the lead with under five minutes to go in the first before losing it for good with 9:24 left in the game.
Austin Frederick (McDonogh) and Kevin O'Neill (Boys' Latin) each had three goals for Villanova. Austin Kaut matched his season high in saves (13) for Penn State. The Wildcats used an early 3-0 run to control the tempo.
No. 20 Army 11, Bucknell 6: John Glesener (five goals) scored the last four goals for the Black Knights (6-3, 4-1) in a rematch of last year's Patriot League semifinal. The Bison fell to 5-5, 3-3.
Army held Bucknell scoreless in the third quarter, but the Bison outshot the Black Knights 35-28.
No. 3 Syracuse 19, No. 9 Duke 15: Alyssa Murray tied her season high with seven points, including the 300th of her career, to lead the host Orange (10-1, 3-1 ACC) past the Blue Devils (7-4, 2-2).
Murray became the third player in school history to reach the 300-point mark.
"I've had a great career here, mostly because of everyone around me," Murray said.
Trailing 18-9 with less than 10 minutes left, Duke scored six goals during the failed comeback attempt.
No. 11 Stanford 11, No. 6 Notre Dame 10: Lucy Dikeou broke a 10-all tie by scoring the game-winner with 4:05 left to play as the Cardinal (8-1) upset the host Fighting Irish (8-4).
Stanford outscored Notre Dame 6-2 in the second half to win. Cortney Fortunato had three goals and an assist while Kiera McMullan picked up two goals and one assist for the Irish.
Louisville 14, No. 15 Georgetown 13: Faye Brust had five goals to lead a balanced Cardinals (7-3, 1-0) offense that scored seven goals per half to beat the host Hoyas (3-6, 0-1 ).
Caroline Tarzian led Georgetown with five goals. Louisville won 19 of 29 draws, and Georgetown went 2-for-8 on free-position shots.
Ohio State trailed by two goals with 20 minutes left in the game before going on a 9-0 run.
No. 18 Albany 22, Binghamton 2: The host Great Danes stayed perfect at 9-0, 1-0 America East, while the Bearcats fell to 6-5, 0-1 with their second straight loss.