joint with Sam Lisi and Chris Wendl , On symplectic fillings of spinal open books, in preparation.

joint with Ken Baker and John Etnyre, Cabling, contact structures and mapping class monoids, arXiv:1005.1978

joint with Hisaaki Endo and Tom Mark, Monodromy Substitutions and Rational Blowdowns, arXiv:1004.3762 . To appear in J. Topology.

joint with Olga Plamenevskaya, Planar open books, monodromy factorizations, and symplectic fillings, Geom. Top. 14 (2010), no. 4, 2077--2101 PDF

joint with Paolo Ghiggini, Tight contact structures on the Brieskorn spheres $-\Sigma(2,3,6n-1)$ and contact invariants, arXiv:0910.2752

joint with John Etnyre, Fibered Transverse Knots and the Bennequin Bound, to appear in Int. Math. Res. Not. PDF

joint with Paolo Ghiggini and Ko Honda, The vanishing of the contact invariant in the presence of torsion, arXiv:0706.1602, submitted.

relative open book

Ken Baker's neato picture of a partial open book decomposition on T2 x I. In my doctoral dissertation, Constructions of open book decompositions, I show how to use these pieces like this to build open books compatible with most of the tight contact structures on torus bundles following Honda's classification. If you have any interest in open books, fibered knots, or in visualizing topology, I highly recommend Ken's blog sketches of topology. He has many more animations and drawings of the open book on the 3-torus. You can download my dissertation here.