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user 1131
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.
10
votes
A question concerning how mathematicians feel about theorems and their proofs.
The words "obvious" and "trivial" relate more to the prevailing mathematical culture than to the statement itself. Yes, the theorem you quoted is obvious in the current culture, and so is Euclid's pro …
- 61.9k
4
votes
Is physical stamina important for doing mathematics?
Apparently this is one of those opinion-based questions that are destined to be closed soon. Still, I'll share my perspective.
IMHO it doesn't matter at all (for doing mathematics, at least) if you ca …
22
votes
How to read an article and make it actually useful?
As to reading, I usually give people the advice of how to become an equivalent of Jean Bourgain (I'm too old now and has always been too lazy to follow it myself, but I'm pretty sure it is robust). Ta …
28
votes
Accepted
How often do people read the work that they cite?
I normally do. Right now I'm facing a tough choice though: to read David-Semmes book in honest or to write something like "We prove that A implies B. The reader can juxtapose that with the claim on pa …
20
votes
When to publish minor results?
I'm in somewhat similar position too. My attitude is that most time people know why they are asking for some particular result so it is their headache to convert it into "public good" and to "spread t …
12
votes
famous papers/results by non professional mathematicians
Let's start with all time classics.
20
votes
What is the point of reading classics over modern treatments?
IMHO, everything depends on how the classical text (C) and modern text (M) are written. I will not talk about "archaic terminology", "outdated notation", etc. One skill that one has to acquire as earl …
29
votes
How do you present a non-existence theorem?
What I noticed is that the infamous question "so what?", though seldomly asked directly, can be read in the eyes of the audience every time when the following three (rather common) conditions are sati …
40
votes
Lost soul: loneliness in pursing math. Advice needed.
I look at my professors, they are almost always there to do research, day and night, weekday and weekends, even the ones with family. The more leisurely ones are the ones who either got their profe …
13
votes
A series of articles should be published all in the same journal, or in different journals?
The real question to ask is why you make it a series of papers rather than just one paper. If you see a clear logical separation between parts and each part is devoted to something different and/or in …
29
votes
How to make a lecture series useful
Here are my 2 cents:
1) Assume that the audience knows nothing about the topic you want to present and next to nothing about any other things.
2) Choose one result you'll be aiming at and develop " …
5
votes
Math videos containing real time rough thinking
I feel that after what I said I should offer something constructive here as well. Part of the problem with such movies is that the very act of verbalizing the thought process interferes with it quite …
12
votes
Do mathematicians rely on senses other than vision and hearing?
I cannot tell what opinion the neuroscience holds here, i.e., if you do a brain scan of a person trying to read a mathematical text or solve a problem, and then compare it with the scan of a person tr …
23
votes
How seriously do professors take teaching evaluations?
I'm not sure whether I should really post these few thoughts of mine because they do not directly address the question as it was asked but every time somebody starts talking about students evaluations …
11
votes
Publishing corollaries of previously published results
In general, the rule is that one may (but not necessarily should) publish everything he/she considers worth attracting people's attention to (under the condition that their attention is not there alre …
- 61.9k