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Results tagged with soft-question
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user 1703
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
3
votes
What's so great about blackboards?
My only issue with whiteboards is that many people don't know how to use whiteboard pens; I've seen many professional mathematicians take off the lid, write a sentence, then talk with the lid still of …
4
votes
What's your favorite equation, formula, identity or inequality?
One that I just learned recently is
$$
(1 + q + q^3 + q^6 + q^{10} + q^{15} + \cdots)^4 = \sum_{k=0}^\infty \sigma(2k+1)q^k
$$
which states that the number of ways of writing an integer $k$ as a sum o …
12
votes
What recent discoveries have amateur mathematicians made?
The composer Kieren MacMillan has written a few papers (see his postings on the arXiv) which prove some identities involving power sums by elementary means.
I suppose that it is in collaboration with …
3
votes
What does it mean for a Deligne-Mumford stack to have trivial generic stabilizers?
The comment by user76758 hits the nail pretty much perfectly on the head. That said, it might be good to see an example of something that does not satisfy this condition:
Let $X$ be any scheme, and l …
- 6,242
12
votes
Examples of "Unusual" Classifications
This feels like a somewhat silly example, but what about the classification of two (real) dimensional manifolds? They are two families of these, the orientable and non-orientable families classified b …
3
votes
introductory book on spectral sequences
There's always McCleary's "A User's Guide to Spectral Sequences".