Broadly, my research interests fall under algebra and quantum field theory. More specifically, I am currently interested in the following topics:
Over the past two years my primary focus has been on vertex algebras. In particular, I've been looking at vertex algebra representation theory. I have been doing this by studying Zhu algebras which are associative algebras constructed from vertex algebras that share modules with the corresponding vertex algebra. This year as part of my masters thesis, I have been looking to construct nonsimple indecomposable modules for the W3-algebra by using Zhu algebras.
For those interested, an introduction to vertex algebras by Chrostophe Nozaradan may be found here and a more comprehensive text by Edward Frenkel and David Ben-Zvi may be found here.