My preprints at arXiv, or at UCDavis Front. My publication reviews at mathscinet.

3. with Robert Lipshitz and Ciprian Manolescu, Combinatorial cobordism maps in hat Heegaard Floer theory (28 pages, 29 figures), Duke Mathematical Journal, accepted. arXiv:math/0611927.

In a previous paper, Sarkar and the third author gave a combinatorial description of the hat version of Heegaard Floer homology for three-manifolds. Given a cobordism between two three-manifolds, there is an induced map between their Heegaard Floer homologies. Here we present a procedure for finding the ranks of these maps combinatorially, in the hat version.

2. with Sucharit Sarkar, An algorithm for computing some Heegaard Floer homologies (a.k.a. A combinatorial description of some Heegaard Floer homologies) (18 pages, 20 figures), Annals of Mathematics, Second Series, accepted. arXiv:math/0607777.

In this paper, we give an algorithm to compute the hat version of the Heegaard Floer homology of a closed oriented three-manifold. This method also allows us to compute the filtrations coming from a null-homologous link in a three-manifold.

1. Cosmetic surgeries on genus one knots (22 pages), Algebraic and Geometric Topology, Volume 6, 1491-1517, 2006. arXiv:math/0512253.

In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory.