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Arguing that demographic thought begins not with quantification but in attempts to control the qualities of people, Human Empire traces two transformations spanning the early modern period. First was the emergence of population as an object of governance through a series of engagements in sixteenth- and seventeenth-century England, Ireland, and colonial North America, influenced by humanist policy, reason of state, and natural philosophy, and culminating in the creation of political arithmetic. Second was the debate during the long eighteenth century over the locus and limits of demographic...

John McKay's remarkable insights unveiled a connection between the 'double covers' of the groups of regular polyhedra, known since ancient Greek times, and the exceptional Lie algebras, recognized since the late nineteenth century. The correspondence involves certain diagrams, the ADE diagrams, which can be interpreted in different ways: as quivers associated with the groups, and Dynkin diagrams of root systems of Lie algebras. The ADE diagrams arise in many areas of mathematics, including topics in relativity and string theory, spectral theory of graphs and cluster algebras. Accessible to...