The Jaspers (5-2, 1-0 Metro Atlantic Athletic Conference) broke an early six-all tie with a 13-0 run fueled by 3-pointers from RaShawn Stores and Shane Richards, coasting to a 37-26 lead at halftime. They opened the second half with a 9-0 surge sparked by Alvarado with a three-point play to grab their largest lead of 20.
Marist (0-9, 0-2) crawled back to cut the deficit to six on a pair of Chavaughn Lewis free throws, but couldn't pull closer as Manhattan sank eight of their last 10 from the foul line.
Alvarado was 4 of 8 from the field and hit 10 of his 12 free throws. Rhamel Brown had 12 points and six rebounds for the Jaspers.
Lewis paced the Red Foxes with 23 points on 7-of-17 shooting.
Donnie Tyndall is appealing the 10-year show cause penalty that was handed down by the NCAA in April for violations stemming from his time as coach at Southern Mississippi.
Top-50 prospect Jaylen Nowell committed to Washington on Wednesday. Nowell, a shooting guard, is No. 45 on the ESPN 100.
Mitchell Robinson, the No. 15 player in the country in the Class of 2017, has committed to Western Kentucky.