duals that has become known as the MacWilliams identity. In this area, he also did pioneering work in experimental mathematics, performing computer experiments in 1960. This work studied the average distance to a codeword, for a code related to the Berlekamp switching game. Other areas Gleason founded the theory of Dirichlet algebras, and made other contributions including work on finite geometry and on the enumerative combinatorics of permutations. (In 1959 he wrote that his research "sidelines" included "an intense interest in combinatorial problems.") As well, he was not above publishing research in more elementary mathematics, such as the derivation of the set of polygons that can be constructed with compass, straightedge, and an angle trisector. Awards and honors In 1952 Gleason was awarded the American Association for the Advancement of Science's Newcomb Cleveland Prize for his work on Hilbert's fifth problem. He was elected to the National Academy of Sciences and the American Philosophical Society, was a Fellow of the American Academy of Arts and Sciences, and belonged to the Société Mathématique de France. In 1981 and 1982 he was president of the American Mathematical Society, and at various times held numerous other posts in professional and scholarly organizations, including chairmanship of the Harvard Department of Mathematics. In 1986 he chaired the organizing committee for the International Congress of Mathematicians in Berkeley, California, and was president of the Congress. In 1996 the Harvard Society of Fellows held a special symposium honoring Gleason on his retirement after seven years as its chairman; that same year, the Mathematics Association of America awarded him the Yueh-Gin Gung and Dr. Charles Y. Hu Distinguished Service to Mathematics Award. A past president of the Association wrote: After his death a 32-page collection of essays in the Notices of the American Mathematical Society recalled "the life and work of [this] eminent American mathematician", calling him "one of the quiet giants of twentieth-century mathematics, the consummate professor dedicated to scholarship, teaching, and service in equal measure." Selected publications Research papers . . . . . . Books . Corrected reprint, Boston: Jones and Bartlett, 1991, . . . Unclassified reprint of a book originally published in 1957 by the National Security Agency, Office of Research and Development, Mathematical Research Division. . Since its original publications this book has been extended to many different editions and variations with additional co-authors. Film . 63 minutes, black & white. Produced