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Symbolica is trying to develop a new approach to AI with the help of category theory. They now have openings for a number of people who know category theory - see here for job listings.
They write:
At Symbolica, we are building deep learning models which perform structured reasoning: manipulate structured data, learn algebraic structure in it, and do so with an interpretable and verifiable logic. To that end, we are developing new mathematical foundations for deep learning: categorical deep learning. We are now assembling a R&D lab of expert category theory and machine learning researchers to develop this theory and apply it to the problems of code synthesis and theorem proving. We are committed to fundamental ideas, but also their execution in practice.
Here are some of the positions - there are more detailed descriptions at the links:
There are other positions that have "machine learning" rather than "category theory" in the job title.
I've posted more information about Symbolica here
If you're interested in applying - but unsure about anything in particular - please do feel free to reach out to me for more information.