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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

16 votes

Interesting mathematical documentaries

Marcus du Sautoy's The Story of Maths is a total of four hours attempting to give an overview of the history of mathematics from ancient to modern time, spending 5-10 minutes each on the life and work …
4 votes

Continuous notions with compelling discrete analogues

Discrete difference equations generalize differential equations. In a similar spirit, divided difference operators generalize partial differentiation operators. Though such operators go back to Newt …
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 …
4 votes

Where does a math person go to learn quantum mechanics?

Igor Dolgachev's course notes "Introduction to Physics" starts with an introduction to classical mechanics and develops quantum mechanics from a mathematical point of view. It's a good place to start …