Tucker talks about geometry, which at Princeton was the most active area of mathematical research. He talks about Luther Eisenhart and Oswald Veblen, both of whom had become interested in Riemannian geometry following the publication of Albert Einstein's general theory of relativity in 1916. Tucker tells something about the beginnings of topology as a recognized branch of mathematics, discussing, in particular, the work of Solomon Lefschetz and James Alexander. Tucker mentions some of the people doing work in analysis (especially H. F. Bohnenblust) and in algebra (especially J. H. M. Wedderburn). The work of Alonzo Church and Kurt Gödel in logic is also discussed, as is the work of Sam Wilks in statistics.