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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
14
votes
Examples of major theorems with very hard proofs that have not dramatically improved over time
I'm surprised no one has mentioned Freedman's Theorem from 1982 yet. Technically this theoerem says that Casson handles are standard, but more broadly this completes the classification of topological …
25
votes
Accepted
Who thought that the Alexander polynomial was the only knot invariant of its kind?
The skein relation approach to knot invariants was not very popular before the Jones polynomial. The Alexander polynomial was thought of as coming from homology (of the cyclic branched cover); Conway …