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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

1 vote

What would you want to see at the Museum of Mathematics?

I'd suggest an interactive exhibit where people can tweak the parameters of a population model with 3 species in it. Have an information panel which explains what the parameters represent. Suggest g …
2 votes

Trichotomies in mathematics

There are three types of subgroups of $PGL_2(\mathbb{C})$ that act on $\mathbb{P}^1$ non-transitively but with finitely many orbits: (1) Type $T$: a one-dimensional torus (2) Type $N$: the normalize …
4 votes

Examples where adding complexity made a problem simpler

Much of modern algebraic geometry fits this paradigm. The introduction of schemes makes some things much more complicated -- non-uniqueness of the embedded components of the primary decomposition com …