It would be too little too late, however, for the Crimson as the Red Storm's early two-run lead held up for the win.
St. John's pushed across a run in the first and then added to its lead with a second run in the third.
That would be all for the Red Storm, however, as Thoke silenced the St. John's bats for the remainder of the game.
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Thoke, the 1999 Ivy League Player of the Year, racked up 12 strikeouts in just six innings of work while allowing just one earned run and a single walk.
Fu picked up a double while senior Jessie Amberg and Abeles each added singles in Harvard's four-hit performance.
The Crimson's next contests are this weekend at the Buzz Classic at Georgia Tech.