>>10929016To expand a bit: Galois theory and group theory at the level of the Sylow theorem are essential in a number of fields.
Any algebraist obviously can't do without either. Plenty of analysts and applied mathematicians require it, often in the context of Lie groups or monodromy. Representation theory, which is an extension of basic group theory, is used in physics (conformal field theory, quantum field theory) and chemistry.
Even in analytic philosophy scheme theory is becoming more popular nowadays which is of course impossible without Galois theory.
