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Results tagged with soft-question
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user 1121
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.
37
votes
Most memorable titles
"I know I should have taken that left turn at Albuquerque" by Gady Kozma and Ariel Yadin (https://arxiv.org/abs/1008.4258)
17
votes
What are the most overloaded words in mathematics?
Natural
Very often I read things like "Now, it is natural to ask...", ""X is a natural generalization of Y" or "A natural question is..." when the problems are by no means natural, and the feeling of …
14
votes
What is the first interesting theorem in (insert subject here)?
Functional analysis: the open mapping theorem.
11
votes
Are there any good websites for hosting discussions of mathematical papers?
You can try SciRate (https://scirate.com/), a site that allows you to rate and comment papers from Arxiv (it updates the list of papers automatically). It doesn't seem to be very popular, though (lack …
10
votes
Introductory text on geometric group theory?
There is a very nice book related to the topic - "Word processing in groups" by David Epstein. It covers some stuff about the combinatorial aspects of geometric group theory, e.g. automatic groups, co …
5
votes
When and how is it appropriate for an undergraduate to email a professor out of the blue?
Above answers give a precise description of what the email should look like, so just a general comment.
Profs are (usually) normal people, the fact they're higher in the academic hierarchy than
you …
3
votes
Individual mathematical objects whose study amounts to a (sub)discipline?
The Erdos-Renyi random graph model $G(n,p)$ - a single, concrete model that more or less created the field of random graph theory and is still studied.
1
vote
How to make a lecture series useful
If possible, it might be a good idea to organize a problem session, with problems/exercises given to participants in advance (say, a day before) and the session devoted to presenting the solution. The …
1
vote
Short Course Suggestions For High School Students
I have successfully taught a course for gifted high school students (somewhat shorter than yours, about 9 hours) devoted to the probabilistic method (based, naturally, on Alon and Spencer + some other …