“Class field theory can be divided into two parts, local and global. In each part it is the study of all the abelian extensions of a certain base field. The underlying philosophy is to describe all abelian extensions in terms of objects residing within, or close to, the base field.”

—  O. Timothy O'Meara

[Review: The theory of numbers, S. Iyanaga, ed., (translated by K. Iyanaga), Bull. Amer. Math. Soc., 1978, 84, 1, 90–96, http://www.ams.org/journals/bull/1978-84-01/S0002-9904-1978-14417-6/S0002-9904-1978-14417-6.pdf, 10.1090/S0002-9904-1978-14417-6] (quote from p. 92)

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American mathematician 1928–2018

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