Higher Representation Theory (2015–2019)

Abstract:
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.
Grant type:
ARC Discovery Early Career Researcher Award
Funded by:
Australian Research Council