We have algebra, topology, calculus... but we all know that these are very vague and very general way to classify math. I came up with this question when I first saw ArXiV`s paper's categories and initially thought that was an already good enough way to classify math knowledge but over time I started thinking it was incomplete.
2026-04-13 16:18:54.1776097134
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Is there a somewhat official or usually accepted classification of math subjects?
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While I don't think either of the words official or semi-official are appropriate, you might be interested in the widely used classification system of Mathematical Reviews. It evolves over time, and was last updated in 2020.
Yes, there is a classification by the AMS. The list is way too long to be posted here but can be found in https://zbmath.org/static/msc2020.pdf. Please also check this link https://msc2020.org/
Enjoy :)