Abstract

The results of the Sixty-Sixth William Lowell Putnam Mathematical Competition, held December 3, 2005, follow. They have been determined in accordance with the regulations governing the Competition. The contest is supported by the William Lowell Putnam Prize Fund for the Promotion of Scholarship, an endowment established by Mrs. Putnam in memory of her husband. The annual Competition is held under the auspices of the Mathematical Association of America. The first prize, $25,000, was awarded to the Department of Mathematics of Harvard University. The members of the winning team were Tiankai Liu, Alison B. Miller, and Tong Zhang; each was awarded a prize of $1,000. The second prize, $20,000, was awarded to the Department of Mathematics of Princeton University. The members of the winning team were Ana Caraiani, Andrei Negut, and Aaron C. Pixton; each was awarded a prize of $800. The third prize, $15,000, was awarded to the Department of Mathematics of Duke University. The members of the winning team were Nikifor C. Bliznashki, Jason Fer guson, and Lingren Zhang; each was awarded a prize of $600. The fourth prize, $10,000, was awarded to the Department of Mathematics of the Massachusetts Institute of Technology. The members of the winning team were Tim othy G. Abbott, Vladimir Barzov, and Daniel M. Kane; each was awarded a prize of $400. The fifth prize, $5,000, was awarded to the Department of Mathematics of the Uni versity of Waterloo. The members of the winning team were Olena Bormashenko, Ralph Furmaniak, and Xiannan Li; each was awarded a prize of $200. The six highest ranking individual contestants, the Putnam Fellows, in alphabetical order, were Oleg I. Golberg, Massachusetts Institute of Technology; Mathew M. Ince, Massachusetts Institute of Technology; Daniel M. Kane, Massachusetts Institute of Technology; Ricky I. Liu, Harvard University; Tiankai Liu, Harvard University; and Aaron C. Pixton, Princeton University. Each receives an award of $2,500. The next ten highest ranking contestants, in alphabetical order, were: Robert M. Barrington Leigh, University of Toronto; Thomas D. Belulovich, Massachusetts Insti tute of Technology; Richard V. Biggs, Carnegie Mellon University; Steven J. Byrnes, Harvard University; Alexander R. Fink, University of Calgary; Po-Ru Loh, California Institute of Technology; Alison B. Miller, Harvard University; Thanasin Nampaisarn, Massachusetts Institute of Technology; Eric C. Price, Massachusetts Institute of Tech nology; and Kuat T Yessenov, Massachusetts Institute of Technology. Each receives an award of $1,000. The next eight highest ranking contestants, in alphabetical order, were: Ralph Fur maniak, University of Waterloo; Hyun Soo Kim, Massachusetts Institute of Technol ogy; Zhiwei Calvin Lin, University of Chicago; Roger Mong, University of Toronto; Andrei Negut, Princeton University; Dimiter V. Ostrev, Yale University; Steven W. Sivek, Massachusetts Institute of Technology; and Lingren Zhang, Duke University. Each receives an award of $250.

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