Education
Princeton University.
Princeton University.
Hochschild wrote his thesis in 1941 at Princeton University with Claude Chevalley on Semisimple Algebras and Generalized Derivations. In 1956-1957 he was at the Institute for Advanced Study. He was professor at the University of Illinois at Urbana-Champaign and from the end of the 1950s at the University of California, Berkeley.
Hochschild (1945) introduced Hochschild cohomology, a cohomology theory for algebras, which classifies deformations of algebras.
Hochschild & Nakayama (1952) introduced cohomology into class field theory. Among his students were Andrzej Białynicki-Birula and James Ax.
In 1955 he was a Guggenheim Fellow.
National Academy of Sciences.