Research

I am broadly interested in the geometry, topology, and arithmetic of algebraic varieties. My research focuses on the development and application of combinatorial methods in algebraic geometry, especially through the application of tropical and nonarchimedean analytic techniques. This work is partially supported by NSF DMS-1068689.

Professional Activity

I am currently an assistant professor in the Department of Mathematics at Yale Univeristy and serve as a faculty sponsor for Yale Splash, on the scientific committee of GAeL, and on the organizing committee for AGNES, which will take place at Yale in Spring 2013.

Matt Baker and I are organizing two upcoming workshops on tropical and nonarchimedean analytic geometry, a Simons Symposium in April 2013, and an AMS Mathematical Research Communities program at Snowbird, in June 2013.

If you are interested in research in tropical geometry and related fields, you will find many interesting people to talk with at Yale, including Professors Alexander Goncharov and Mikhail Kapranov, NSF Postdoctoral Fellow and Gibbs Assistant Professor Dustin Cartwright, and PhD students Soumya Banerjee, Tyler Foster, Yoav Len, and Linhui Shen.

During the academic year 2011-2012 I am on junior faculty leave, visiting the Max Planck Institute for Mathematics in Bonn, Germany.

Slides and videos from recent talks

  • Tropical and nonarchimedean analytic geometry of curves. Latin School of Algebraic Geometry (ELGA), Córdoba, Argentina. August 11, 2011.
  • Nonarchimedean geometry, tropicalization, and metrics on curves. AGNES Spring 2011, MIT. April 25, 2011.
  • Boundary complexes of varieties. MSRI conference on Combinatorial, Enumerative, and Toric Geometry. March 25, 2009.

    • Chip firing!

  • Here is Elina Robeva's online program for computing Brill-Noether special divisors on graphs.
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