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Scholars at four American institutions were among the five recipients announced Monday of the Breakthrough Prize in Mathematics, the newest competition in the increasingly lucrative field of mathematics, The New York Times reported. The five recipients of the prize, which was established by Yuri Milner and Mark Zuckerberg, are: Simon Donaldson, Stony Brook University and Imperial College London; Maxim Kontsevich, the Institute of Advanced Scientific Studies outside Paris; Jacob Lurie, Harvard University; Terence Tao, the University of California at Los Angeles; and Richard Taylor, the Institute for Advanced Study, in Princeton, N.J.