Research

My research focuses on the interplay between commutative algebra, algebraic geometry and combinatorial topology. I am interested in the minimal free resolutions of monomial ideals and in particular the extent to which their structure can be described by means of CW complexes. I am also very interested in the Cox rings of algebraic varieties, especially the relationship between their combinatorial invariants (Hilbert series, Betti numbers, Grobner fans,...) and the geometry of divisors on the varieties.

I am a graduate student at Cornell. My advisor is Mike Stillman