Two Years Away from a PhD?

In August 2019 I enrolled at the University of Tennessee as a student in their mathematics PhD program. Nearly three years later, I realize that (with confirmation from my advisors) that I am about two years away from graduating. Over these three years I have picked up a lot of steam, carrying out multiple separate projects in parallel while being trained in the art (or science?) of doing mathematics research.

Before getting to what I still want to accomplish before I graduate, I want to take stock of what I’ve already done since I arrived in Knoxville. First, let’s look at the…