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Equilibrium configurations for a floating drop (with A. Elcrat and D. Siegel), J. Math. Fluid Mech. 6 (2004), no. 4, 405-429.
Available from the journal's website here.

Analysis of the cut locus via the heat kernel (with D. Stroock), Surveys in Differential Geometry, Vol. 9, International Press, Boston (2004), 337-349.
Available as a preprint here.

The small time asymptotics of the heat kernel at the cut locus, Comm. Anal. Geo. 15 (2007), no. 4, 845-890.
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A martingale approach to minimal surfaces, to appear in J. Funct. Anal.
Preprint avaliable from the arXiv here.