 His proof of this theorem contained gaps (which he recognized), and later the theorem was known as "Bloch's conjecture".Bloch's conjecture, as stated was proved by Takushiro Ochiai, Pit Man Wong and simultaneously by Yujiro Kawamata in 1980, and the related research started a new area which is called holomorphic curves in Abelian varieties (and semi-Abelian varieties).Bloch was the first (jointly with Pólya) to consider the distribution of roots of random polynomials, which is another area of research which is intensively developing
since the middle of 20th century.