Nathan Williams was introduced to alternating-sign matrices in a class taught by Professor Eric Egge, and was immediately discouraged by the sometimes enormously complicated proofs of even their most basic properties. Nevertheless, he was sufficiently intrigued by their simultaneous accessibility and inaccessibility that he payed enough attention to notice an amusing pattern. Nathan is a recent graduate of Carleton College. This fall he will be starting his Ph.D. in mathematics at the University of Minnesota.
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Faculty Sponsor: Eric S. Egge, Department of Mathematics, Carleton College

eegge@carleton.edu