Hans Parshall

Hans Parshall

I am a Zassenhaus Assistant Professor in the Department of Mathematics at The Ohio State University. Previously, I was a graduate student at the University of Georgia, where I defended my PhD under the supervision of Neil Lyall and Ákos Magyar. My undergraduate years were spent in my hometown of Arcata, CA at Humboldt State University.

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.