David Gabai
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David Gabai is a mathematician at Princeton University. Intensely focused on low-dimensional topology and hyperbolic geometry, he is a leading researcher in those subjects. Gabai was awarded the 2004 Oswald Veblen Prize in Geometry. The citation [1], in addition to other important work, mentions his researches in the theory of foliations which has since been applied to the knot complement problem and to Heegaard Floer homology: his work is one key step in the resolution of the Property P conjecture.
More recently Gabai, in joint work with Danny Calegari, has proven Marden's tameness conjecture, a result also independently proven by Ian Agol.
His thesis advisor was William Thurston.
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