Williams finished with 19 points and a career-high eight assists. Marquis Horne added 13 points and Josh Gentry 10 for the Titans, who shot 50 percent from the floor and made 9 of 20 (45 percent) from 3-point range.
Alan Williams' three-point play with 2:20 to play gave UCSB (12-6, 3-2 Big West) a 70-68. The two teams went scoreless for nearly 2 minutes before Williams' trey with 32 seconds left. Fullerton (7-12, 2-3) made 3 of 4 free throws in the final 18 seconds to push their lead to 74-70.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.