Ph.D. Yale University, New Haven, Connecticut, 1885
Moore was keenly interested in the frontier of mathematical research of the day and was particularly interested in pedagogical methods at all levels. He published research papers in four main areas: geometry; groups, numbers, algebra; theory of functions; and integral equations. He served as editor in chief of the Transactions of the AMS for its first seven years. Moore was also a major advocate for building up a vigorous American school of mathematics, drawing individuals from all over the world. He also proposed that the AMS publish the proceedings of the International Congress of Mathematicians at Chicago in 1893–a major publication enterprise which provided impetus to change the Society's name from the New York Mathematical Society to the American Mathematical Society. Moore was a member of the U.S. National Academy of Sciences.