My primary research interests are in topological combinatorics, specifically the application of discrete Morse theory to independence, matching, and homomorphism complexes of combinatorial graphs. I am currently studying the homomorphism complex of a chain poset mapping into a Boolean algebra with my advisor Dr. Ben Braun.
I graduated from Hanover College (Hanover, IN) in May 2012 with a bachelor’s degree in mathematics and economics, and I earned my master’s degree in mathematics from U.K. in July 2014 under the guidance of Dr. Bert Guillou.
B. Braun and W. Hough. Homomorphism complexes of the Boolean algebras. Manuscript in preparation.
B. Braun and W. Hough. Matching and independence complexes related to small grids. arXiv:1606:01204.
D. DeSantis, R. Field, W. Hough, B. Jones, R. Meissen, and J. Ziefle. Permutation pattern avoidance and the Catalan triangle. Missouri Journal of Mathematical Sciences 25 (2013), no. 1, 50-60.