Research

Most of my research interests involve combinatorics and geometry. I am particularly interested in matroids (and their analogs), polyhedra, and how these objects interact with algebro-geometric spaces such as generalized flag varieties. 

My PhD project involved regular subdivisions of generalized permutahedra. Of particular interest is the algebraic geometry associated with subdivisions into cells that are themselves generalized permutahedra. I worked with Professor Michael Joswig at Technische Universität Berlin. 

My first project, with Dr. Emily Clader at San Francisco State University, involved algebraic geometry and graph theory.  We studied simplicial complexes that reflect properties of subvarieties in the boundary of moduli spaces of curves.