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Numberphile published an hour long video [1] about the Langland program, which dives a bit into this "grand unified theory of mathematics". I'm not a mathematician, but I find these topics fascinating.

[1] https://youtu.be/4dyytPboqvE?si=UyEl-N0sIkQw5HEm

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I can also recommend Edward Frenkel's (the guest of this video) book "Love and Math" on the subject. He writes as well as he talks, the book is very approachable, not just for a mathematically literate audience, but also for those who "don't like math". Its about the Langlands Program, but also about his own personal history of becoming a mathematician in the Soviet Union and his experiences with antisemitism during that time. Fascinating Stuff, even though it only barely touches the surface of his research.

Frenkel was also recently a guest on Lex Fridman's podcast, very interesting.

One of the well-known category theorists has said [0],

> I’ve never succeeded in understanding the slightest thing about it.

[0] https://golem.ph.utexas.edu/category/2010/08/what_is_the_lan...

(Category Theory, of all things, being the best tool for formalizing dualities and all sorts of analogies between seemingly different objects of study.)

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