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Hi everyone! Here's yet another introduction.
I'm a mathematician at the MPI for Mathematics in the Sciences. A large part of my work is about resource theories, which will soon be a topic in the Applied Category Theory course. I'm looking forward to discussing that stuff with you all, especially because there's such a diverse crowd here!
From my biased personal perspective, the most interesting application that we have so far of the resource theories formalism is to thermodynamics, where we've developed simple methods to answer questions like, "How much work can be extracted from a given state?", or "What is the maximal efficiency of a heat engine operating with a given amount of hot and cold substances?"