Nelson, who made 7 of 8 free throws in overtime, has four games with at least 30 points this season. He moved into third on Fairfield's career scoring list with 1,888 points.
Kavaliauskas finished with 10 points and a career-high 12 assists and freshman Omar El-Sheikh added a season-high 15 points for the Stags (8-13, 3-7 Metro Atlantic Athletic Conference). Kavaliauskas has three double-doubles in five career starts.
Kavaliauskas found Ferron Flavors Jr. for a 3-pointer and then made a layup to give Fairfield a 96-92 lead with 1:50 left in overtime. E.J. Crawford made two free throws to pull Iona within two points about a minute later, but Nelson made 5 of 6 free throws from there to seal it.
Nelson missed a deep 3 off the front of the rim as time expired in regulation.
Aidan Igiehon, ranked No. 36 in the ESPN 100, has committed to Louisville over St. John's, Oregon and Kentucky.
How much can you discover while observing one Blue Devils workout? Plenty. Zion Williamson can be scary good and versatile, but that's not all.
Igiehon is one of the most physically imposing players in this class, a good rebounder with plenty of untapped potential.