Dr. Wesolek is particularly passionate about questions in which graphs and geometry play a central role. Graphs describe diverse everyday networks – many of which can be represented by natural geometric shapes, such as road networks that can be drawn without intersections, or overlapping radio bands in wireless networks. The research areas of computational geometry, structural graph theory, and geometric optimization are developing methods to solve complex problems in such graph classes.
In the coming semester, Dr. Wesolek will offer a seminar on theoretical computer science focusing on new graph algorithms, as well as a module on structural graph theory focusing on network analysis. These topics also offer numerous exciting questions for theses.