Dustin Cartwright

I am a fourth-year graduate student working with Prof. Bernd Sturmfels in the Berkeley math department. On October 5, 2007, I passed my qualifying exam. I graduated from Harvard with an AB in math in 2004 and I worked at Myriad Genetics from 2004-2006. I am interested algebraic geometry, computational biology, and any possible connections between them.

Papers

• DA Cartwright, MA Cueto, EA Tobis. A characterization of maximum independent sets of de Bruijn graphs. arXiv:0905.3820. submitted.
• DA Cartwright, SM Brady, DA Orlando, B Sturmfels, PN Benfey. Reconstructing spatiotemporal gene expression data form partial observations. Bioinformatics, to appear. arXiv:0903.4027.
• D Cartwright, B Sturmfels. The Hilbert scheme of the diagonal in a product of projective spaces. arXiv:0901.0212. International Math Research Notices, to appear. supporting documentation.
• DA Cartwright, D Erman, M Velasco, B Viray. Hilbert schemes of 8 points. Algebra and Number Theory, to appear. arXiv:0803.0341.
• DA Cartwright, M Troggio, R Velasco, A Gutin. Genetic mapping in the presence of genotyping errors. Genetics 2007 Aug 176(4): 2521-7. Software available here.

Listings of my papers on arXiv and on PubMed.

Slides

Slides from a talk at the AMS sectional meeting on Combinatorial and Homological Aspects of Commutative Algebra, at Penn State on October 25, 2009:

• The Hilbert scheme of the diagonal in a product of projective spaces on October 25, 2009.

Slides from two talks I have given, both in Lior Pachter's Mathematical and Computational Biology seminar:

• "From Arabidopsis roots to bilinear equations" on October 22, 2008.
• "Fingerprint-based physical mapping" on October 30, 2007.

Software

• TMAP - building genetic maps.
• Software for solving bilinear equations.

Teaching

In fall semeseter 2009, I am a GSI for math 54.

In the spring 2009, I was a GSI for math 55 and in the fall 2006, I was a GSI for math 1b with Prof. Olsson.