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I'm currently a visiting scholar at the University of California, Berkeley, where I'm working on problems in algebraic geometry and representation theory with a combinatorial flavor. The two things I'm spending most of my time thinking about right now are:

As a graduate student at the University of Michigan, I studied combinatorial algebraic geometry under David Speyer. At Michigan, my work was focused on the geometry and combinatorics of matroid varieties, the subvarieties of the Grassmannian defined by the vanishing and nonvanishing of Plücker coordinates.

There are two documents on the arXiv from the work that I did at Michigan: