Maia scored 19 points and grabbed 15 rebounds for the Bears (3-3), while Halpern made 5 of 8 shots from 3-point range, finishing with 17 points overall.
Halpern hit four of his 3s in the second half, including two that came 43 seconds apart and capped a 15-6 run at the start of the half that gave Brown a 46-33 lead with 12:53 remaining.
The Bears launched 36 3-point attempts, but Halpern's teammates were less successful, combining to make 5 of 28. Sean McGonagill was 2-for-14 behind the arc but handed out eight assists and made three steals.
Louis Montes scored 17 points, including 10 of 10 from the free-throw line, to lead the Pioneers (3-3).
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.