> pure math (topology and countability) and computer science have almost no overlap in the short term. This is an unexpected opinion. What do you mean by this

> pure math (topology and countability) and computer science have almost no overlap in the short term. This is an unexpected opinion. What do you mean by this? I would argue the opposite. Look at Formal Verification[0]. Here's a great video about a popular formal verfication proof assitant: https://www.youtube.com/watch?v=Dp-mQ3HxgDE https://www.youtube.com/watch?v=Dp-mQ3HxgDE A quote from the mathematician in the video expressing enthusiasm for using computers for mathematics: "All I want to do... I don't want to do mathematics on pen and paper anymore, because I don't trust it, and I don't trust other people that use it; which is everyone." (in case people only read this quote, instead of watching the lecture, the tone is tongue-in-cheek) Formal Verification would seem a literal intersection of pure math (formal proofs[1]) and computer science (formal specification[2]). Of note, one of the popular underlying foundations of an approach to formal verification is Homotopy Type Theory(HoTT)[3][4] which is an asserted effort to show the relationship between type theory and, specifically, topology (homotopy[5]). [0] https://en.wikipedia.org/wiki/Formal_verification https://en.wikipedia.org/wiki/Formal_verification : fancy word for 'computer verified mathematical proofs' [1] https://en.wikipedia.org/wiki/Formal_proof https://en.wikipedia.org/wiki/Formal_proof : fancy word for 'proof' [2] https://en.wikipedia.org/wiki/Formal_specification https://en.wikipedia.org/wiki/Formal_specification : fancy word for 'rules for an algo that checks a proof' [3] https://en.wikipedia.org/wiki/Homotopy_type_theory https://en.wikipedia.org/wiki/Homotopy_type_theory [4] https://homotopytypetheory.org/book/ https://homotopytypetheory.org/book/ : a great read, even if you are a novice, or prefer other formal verification foundations [5] https://en.wikipedia.org/wiki/Homotopy_theory https://en.wikipedia.org/wiki/Homotopy_theory : "It originated as a topic in algebraic topology"