Career
He is the Herman P. Taubman Professor of Mathematics at the Weizmann Institute of Science. He received his doctorate from the Hebrew University of Jerusalem in 1972, under the direction of Shimshon Amitsur. Regev has made significant contributions to the theory of polynomial identity rings (Principal Investigator rings).
In particular, he proved Regev"s theorem that the tensor product of two Principal Investigator rings is again a Principal Investigator ring.
He developed so-called "Regev theory" that connects Principal Investigator rings to representations of the symmetric group, and hence to Young tableaux. He has made seminal contributions to the asymptotic enumeration of Young tableaux and tableaux of hook shape, and together with William Beckner proved the Macdonald-Selberg conjecture for the infinite Lie algebras of type B, C, and Doctorate.