Hans Parshall

My research is motivated by problems in combinatorics, particularly when they have a geometric or number theoretic flavor. Much of my work can be described as density Ramsey theory, where the typical problem concerns what "structure" must appear in all "large" sets. Several of my results have applied Fourier analysis to find geometric structure in large subsets of vector spaces over finite fields. I have recently found myself applying combinatorial and computational techniques to study optimal Grassmannian packings.

Publications In Preparation

I also have a few old expository notes on topics in arithmetic combinatorics.