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Rational Maps is a category for books about functions built from ratios of polynomials and their roles across modern mathematics. It covers maps between projective varieties in algebraic geometry (birational transformations, indeterminacy and resolution, degree growth, Cremona groups, and moduli spaces of maps), as well as the iteration of rational maps in complex and arithmetic dynamics (Julia and Fatou sets, entropy and measures, canonical heights, and equidistribution). The collection includes graduate textbooks, research monographs, lecture notes, and surveys, with some titles emphasizing explicit computations and parametrizations. Together, these works explore how rational maps connect geometry, dynamics, and number theory, from foundational theory to cutting-edge applications.

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