I enjoy many areas of discrete mathematics, but I am most interested in extremal combinatorics. I especially enjoy extremal parameters for some interesting families of sets, like a Sperner family or an intersecting family. I also have a preference towards combinatorial problems which have a graph theoretic interpretation, like Ramsey Theory or separating systems. In fact, my dissertation research was, essentially, regarding a hypergraph generalization of separating systems.
Publications
Bipartite Hansel Results for Hypergraphs, to appear in European Journal of Combinatorics (with B. Nagle).
On Extending Hansel’s Theorem to Complete Hypergraphs, Congr. Numer. 227 (2016), 269–275 (with B. Nagle).
Education
Ph.D., Pure and Applied Mathematics, University of South Florida, Tampa, FL, 2017
MA, Pure and Applied Mathematics, University of South Florida, Tampa, FL, 2013
BA, Mathematics, University of South Florida, Tampa, FL, 2011