Older writings of mine:
- Nematic Films and Radially Anisotropic Delaunay Surfaces (older arxiv version) Work with Prof. Randy Kamien. In this paper we discuss shapes of axisymmetric soap bubbles with nematic order -- specifically, we restrict the director field to lie on latitude lines. This leads us to a generalized / perturbed version of Delaunay (axisymmetric constant mean curvature) surfaces. In a sequel we'll talk about coarsening of double nematic bubbles of the sort. Eur. Phys. J. E 28 (2009) 315
- On ``an apparent truth about matrices'' Upon reading a paper by Waterfall et al., (see also this page for sloppy models in context) I was inspired to try to prove a conjectured asymptotic result on the eigenvalues of matrices perturbed by multiplication by Vandermonde matrices, using the dominant balance techniques I'm familiar with. After I communicated my proof to Jim Sethna and Veit Elser, they informed me that Ari Turner had already shown them a similar result, and we got in communication. At some point, Ari and I will write our two proofs up together more formally. I found later this paper which likely contains more powerful techniques on perturbative matrix eigenvalue problems like this one.
- The Wetting Agent Required for Swarming in Salmonella enterica Serovar Typhimurium is not a Surfactant Work with Prof. Howard Berg and Linda Turner at Harvard. As an undergraduate, I worked on finding the best way to make surface tension measurements of bacterial surfactant in the swarming phase. N.b. This paper was actually written in full by Prof. Berg, using my data. Journal of Bacteriology, December 2007, p. 8750-8753, Vol. 189, No. 23.
- Does every polynomial root have a simple approximation? More to come on this topic when I have time... Interested readers should consult Gelfand, Kapronov and Zelevinsky for more of this story; I wish I had when I wrote this. You should also check out the rest of the HCMR. Harvard College Mathematics Review, volume 1, issue 1, pp 50-56.