Reclaiming the American Revolution examines the struggles for political ascendancy between Federalists and the Republicans in the early days of the American Republic. Watkins views the struggle through the lens of the Kentucky and Virginia Resolutions, charters written by Thomas Jefferson and James Madison respectively, that were responses to the Alien and Sedition Acts passed by Federalists that, among other things, made criticism of the federal government a crime. Viewing those acts as a threat to states' rights, as well as indicative of a national government that sought supreme power, the...

This introduction to recent developments in algebraic combinatorics illustrates how research in mathematics actually progresses. The author recounts the dramatic search for and discovery of a proof of a counting formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While it was apparent that the conjecture must be true, the proof was elusive. As a result, researchers became drawn to this problem and made connections to aspects of the invariant theory of Jacobi, Sylvester, Cayley, MacMahon, Schur, and Young; to...