Coding theory, long influenced by deep mathematical methods, particularly from algebra and algebraic geometry, presents methods for the robust representation of information and has combined with methods of computational information theory to achieve codes that are close to theoretical limits. The role of these and other areas of mathematics in the development of computer and information science, and in particular in theoretical computer science, is the major theme of this special focus. At the same time that TCS is increasingly influenced by the methods and results of mathematics, the algorithmic methods of TCS are increasingly important in the analysis of fundamental problems of mathematics. For example, the discovery of algorithms that permit the rapid processing of vectors, polynomials, matrices, and other central mathematical concepts can be a tool in the solution of important mathematical questions. Exploring this direction of the connection between mathematics and TCS is a second theme of this special focus.
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