Houston Schuerger received his PhD in Mathematics from the University of North Texas (UNT) in August 2020 under advisor Dr Nicolae Anghel. Prior to his time at UNT, he was a full-time faculty member at Southeast Missouri State University. The key, Houston believes, to reaching students is to make both yourself and the material as approachable as possible. In addition to his traditional teaching experience, Houston also advises undergraduate research projects in the areas of geometry, concerning geodesics, and graph theory, concerning zero forcing. These projects have led to his students presenting their results at conferences, and currently his students are typing up their results with hopes of submitting them for publication in the near future.

In addition to his work advising undergraduate research, Houston has research in multiple areas of mathematics including graph theory, geometry, and topology. In particular his research interests involve applying spatial reasoning to combinatorial structures and focus on zero forcing and other graph invariants; and in particular the interplay between the local structure given by induced subgraphs and the global structure given by their adjacencies and intersections. This research has led to presentations at numerous conferences, collaborations with researchers at multiple universities, participating in the AMS Math Research Community- Finding Needles in Haystacks: Approaches to Inverse Problems using Combinatorics and Linear Algebra, and membership in the AIM Research Community- Inverse Eigenvalue Problems for Graphs.

curriculum vitae

Articles

• Leslie Hogben, Mark Hunnell, Kevin Liu, Houston Schuerger, Ben Small, and Yaqi Zhang.  Upper bounds for positive semidefinite propagation time, Discrete Math, 345(9) 112967 (2022)
• Logan Crone, Lior Fishman, Stephen Jackson, Houston Schuerger, and David Simmons.  The measure game (submitted and available on arXiv)
• Boris Brimkov, Randy Davila, Houston Schuerger, and Michael Young.  Computer assisted discovery: zero forcing vs vertex cover (submitted and available on arXiv)
• Sarah E. Anderson, Kirsti Kuenzel, and Houston Schuerger.  Graphs which satisfy a Vizing-like bound for power domination of Cartesian products (submitted and available on arXiv)

Presentations