Representation Theory is a field of mathematics with applications across the breadth of mathematical study
in fields as diverse as number theory and physics. The study of higher (or categorical) representation theory
is a modern set of tools that provides new insights into representation theoretic pheonomena. This project
studies categorified quantum groups, and in particular the categorifications provided by diagrammatic
algebras. The project will seek to further develop the theory of KLR algebras, providing important
foundational results for future research to build upon.