Mathematical Sciences: Recurences and Extremal Combinatorics

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This award supports the research of Professor I. Gessel to work in enumerative combinatorics. He intends to study hypergeometric series, polyominos and Joyal's theory of species of structures. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.