Broadly, I am interested in applications of category theory, especially higher category theory, to different areas of mathematics and particularly physics. Category theory is a branch of mathematics that not only abstracts mathematical structures common to several different fields but is also a general theory of processes. It also serves as a language that connects different fields.

So far I have done work in the following areas. If you would like to know more information, click on the corresponding category, where I describe more about the subject and my specific interests in the area. Below each category are publications or preprints for those categories. The subjects are listed in most recent order of activity.

Analysis

Algebraic quantum theory

Higher gauge theory

Condensed matter