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 research 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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