Here are a few off the top of my head, as a mathematician-turned-programmer who never has been an algebraic geometer. - Elliptic curve cryptography (https://en

Here are a few off the top of my head, as a mathematician-turned-programmer who never has been an algebraic geometer. - Elliptic curve cryptography (https://en.wikipedia.org/wiki/Elliptic-curve_cryptography https://en.wikipedia.org/wiki/Elliptic-curve_cryptography) - Grobner bases, with many applications. Example domains: coding theory, robotics, signal processing... (https://math.stackexchange.com/questions/32421/applications-of-gröbner-bases https://math.stackexchange.com/questions/32421/applications-...) - Physics [solitons] (https://kasmana.people.cofc.edu/SOLITONPICS/ https://kasmana.people.cofc.edu/SOLITONPICS/) - Physics [string theory] (https://royalsociety.org/~/media/people/new-fellows-2014/Presentation-slides/Bridgeland.pdf https://royalsociety.org/~/media/people/new-fellows-2014/Pre...) - Automata theory, via "tropical" algebraic geometry (https://link.springer.com/article/10.1007/s00233-019-09999-8 https://link.springer.com/article/10.1007/s00233-019-09999-8) This is not even considering applications of AG to other areas of pure mathematics, which are extensive.