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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.
9
votes
Which mathematicians have influenced you the most?
Joseph-Louis Lagrange For his modesty as a human being, and his great mathematical work, on almost every field of mathematics, but especially in mechanics.
4
votes
How do you keep your research notes organized?
I work on paper notebook with a pencil (I put date here and there as markers). When something is ok I write a small paper (in TeX) with most of the details. Sometimes I publish it. I put everything va …
3
votes
What does the word "symplectic" mean?
The word "sum-plectic" as a greek translation of "com-plexus" was needed also to differentiate the study of "complex geometry" (complex numbers etc) from the study of "complexes de droites" (the geome …
1
vote
What is the definition of "canonical"?
It is not an answer but it must have to do with the way our brain pick up a sample between a few ones. It must be the minimum of some function which can be implemented for real in the brain. I do not …
5
votes
On referee-author communications
I think nothing must be changed in the present procedure.
1) We send a paper to a journal when we think that the paper is ready for publication, if it is not, we don't send it. We spend more time on …
7
votes
A book you would like to write
After reflexion, I think I will reduce my contribution to this: Don't think too much about the book you want to write, just write it down. Don't wait that everything is perfect, just begin. Anyway, it …
3
votes
Theorems that are 'obvious' but hard to prove
In the same vein, chating: My advisor used to say "An interesting theorem is a theorem true which looks false". Well, tastes and colors... ;-)
17
votes
How difficult will it be for me to switch fields (details below) after my Ph.D. in pure math...
I switched from theoretical physics to math, long time ago, it has been a very painful experience (and I had a double graduation). But after 20 years, now, it's OK ;-) I have a good friend who switche …
5
votes
Why should one still teach Riemann integration?
In Cartan calculus, integrating a $k$-differential form $\alpha$ on a $k$-cubic chain $\sigma$ doesn't need more than the Riemann integral:
$$
\int_\sigma \alpha := \sum_{i=1}^N c_i \int_{I^k}\sigma_i …