As a mathematician Fine had wide interests publishing on many different topics including number theory, logic, combinatorics, group theory, linear algebra, partitions and functional and classical analysis.
Bilang isang dalub-agbilang Fine had malawak na interes na-publish sa maraming iba't-ibang mga paksa kabilang ang numero ng teorya, lohika, combinatorics, grupo ng teorya, sa haba algebra, hati at gumagana at klasiko analysis.