Gerhard Hochschild (1915/2010) A Mathematician of the XXth Century

TL;DR

This paper provides a comprehensive survey of Gerhard Hochschild's life and mathematical contributions, emphasizing his work on algebraic groups and Hopf algebras, highlighting his influence in 20th-century mathematics.

Contribution

It offers a detailed account of Hochschild's personal and mathematical journey, focusing on his pioneering work in algebraic groups and Hopf algebras, which shaped modern algebra.

Findings

Hochschild's foundational work in algebraic groups

Significant contributions to Hopf algebras

Influence on 20th-century algebraic research

Abstract

Gerhard Hochschild's contribution to the development of mathematics in the XX century is succinctly surveyed. We start with a personal and mathematical biography, and then consider with certain detail his contributions to algebraic groups and Hopf algebras.