My research is in the pure-mathematical fields of Operator Algebra and Abstract Algebra, and is funded by my Marsden Fund Fast-Start Grant (held with Distinguished Professor Benjamin Steinberg). My research is primarily focused on C*-algebras and abstract rings and algebras associated to mathematical objects such as groupoids, and directed graphs and their topological and higher-rank analogues. A significant portion of my research involves "twisting" these algebras by cohomological data and studying the effect on important properties of the algebras, such as simplicity.