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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
polynomials with similar maxima-minima
I think that some computing around shows that $(x^6+y^6)^5$ and $(x^{10}+y^{10})^3$, or $x^{12}+y^{12}$ and $(x^4+y^4)^3$ for that matter, have the same set of extremes. So there can't be an algebraic …
4
votes
Why do we make such big deal about the 'unsolvability' of the quintic?
Rephrasing in part some of the previous comments and answers, my take is that historically roots, like powers, were seen not as "functions" in the modern sense, but as natural "operations" extending t …