I am a research mathematician who works at the University of Sydney.
I consider myself as a “forever student of life”, and I am fueled by my passion for understanding the nuances of categorical algebra and representation theory. My research is focused on the various aspects of categorical representation theory (also called 2-representation theory), including its applications and analytic aspects, making me a mathematician standing in between algebra, category theory and topology. The main applications and inspirations of my work are in and come from modular representation theory, low-dimensional topology, algebraic combinatorics, fusion and modular categories, quantum and string physics, group and semigroup theory, cryptography and machine learning.
I am currently working on aspects of 2-representation theory and its applications in cryptography and machine learning, properties of (weighted) KLRW algebras, growth rates in representation theory, dualities in representation theory and I am always interested in a challenge. Reach out to daniel.tubbenhauer@sydney.edu.au to connect!