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.

I am currently an assistant professor of mathematics at Yale Univeristy. During the academic year 2011-2012 I will be on junior faculty leave, visiting the Max Planck Institute 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.
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