He published high-level academic articles and books on mathematics as well as on physics, history, philosophy, and pedagogy.

[3] The years that followed his last appointment saw the rise of Benito Mussolini's power and of antisemitism in Italy, and Levi, being Jewish, was soon expelled from his position at the University of Bologna.

Cortés Plá invited Levi to come to Rosario to head the recently created Instituto de Matemática.

[5] In particular, he supplied a proof (questioned by some) that a procedure for resolution of singularities on algebraic surfaces terminates in finitely many steps.

Next he studied what in modern terminology would be the subgroup of rational torsion points on an elliptic curve over Q: he proved that certain groups were realizable and that others were not.