I am primarily interested in topics at the intersection of functional analysis and algebraic topology, for example, in operator algebraic K- and KK-theory. Off late, I have been delving into the more abstract framework of higher category theory, and it's applications to other areas of mathematics including functional analysis.
During undergrad and masters, I was also interested in algebraic number theory and general topology (in which I still have a passing interest!), and have a few expository writeups on topics in them.
Feel free to check the different subsections of this page to learn more about my work.