High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! William Paul Thurston (born October 30, 1946) is an American mathematician. He is a pioneer in the field of low-dimensional topology. In 1982, he was awarded the Fields Medal for the depth and originality of his contributions to mathematics. He is currently a professor of mathematics and computer science at Cornell University (since 2003). His early work, in the early 1970s, was mainly in foliation theory, where he had a dramatic impact. His more significant results include: The proof that every Haefliger structure on a manifold can be integrated to a foliation (this implies, in particular that every manifold with zero Euler characteristic admits a foliation of codimension one). The construction of a continuous family of smooth, codimension one foliations on the three-sphere whose Godbillon-Vey invariant takes every real value.

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