In terms of math, I know measure theory, measure theory based probability, differentiable manifolds, galois theory, some algebraic topology, and some representation theory. I have only physics 101 level knowledge of mechanics and electromagnetics. I wonder what math/physics courses should I take to understand the recent papers in integrable probability? Specifically, if I want to understand papers here: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1664619#:~:text=Integrable%20probability%20is%20an%20area,integrable%20systems%20on%20the%20other, what should I study? If you care to elaborate, what physics courses besides math courses should I take to understand the physical background of interesting models in integrable probability?

In terms of math, I know measure theory, measure theory based probability, differentiable manifolds, galois theory, some algebraic topology, and some representation theory. I have only physics 101 level knowledge of mechanics and electromagnetics. I wonder what math/physics courses should I take to understand the recent papers in integrable probability? Specifically, if I want to understand the papers listed here, what should I study? If you care to elaborate, what physics courses besides math courses should I take to understand the physical background of interesting models in integrable probability?