For a year he lectured at the
University of Liverpool and then he was appointed to the new
Rice Institute in
Houston,
Texas. The Rice Institute had him spend a year at the
University of Göttingen studying with
Max Born and
David Hilbert. Daniell was at Rice from 1914 to 1923 when he returned to England to a chair at the
University of Sheffield. In a series of papers published between 1918 and 1928, he developed and expanded a generalized theory of integration and differentiation, which is today known as the
Daniell integral. In the setting of integration, he also worked on results that lead to the
Daniell-Kolmogorov extension theorem in the theory of stochastic processes, independently of
Andrey Kolmogorov. He was an Invited Speaker of the
ICM in 1920 at Strasbourg. ==Death==