Questions tagged [research]
For questions on the process and the impact of mathematical research, its accessibility to (new) researchers and its applicability in various fields. Do not use this tag just because your question is related to research you are doing.
316 questions
0 votes
0 answers
90 views
Is there still active research in the mathematical theory of distributions?
I apologize for the vague question, but I'm genuinely curious about whether research is still being done on distribution theory---is it a well-established tool or are there still relevant open ...
- 162
0 votes
1 answer
135 views
On the Diophantine equation $x^{3}+y^{3}=(x+y)^{m}-(xy)^{n}$ — finiteness and partial results
I've been exploring some symmetric Diophantine forms that blend additive and multiplicative structures, and one equation I found keeps bugging me: $$ x^3 + y^3 = (x + y)^m - (xy)^n, $$ with integer $x,...
3 votes
0 answers
97 views
How you started your research career, and can you do it alone? [closed]
I am applying to this scholarship to study Master's in Math, and it requires "Research plan", now such a request is weird because the bachelor level of math is just ABC.., its learning the ...
- 63
1 vote
0 answers
98 views
Practical research using mathematicians' algebraic structures
I know that the algebraic structure represented by groups, rings, and fields is a great help in mathematical research because it abstracts the operation structure of number systems such as real ...
- 867
1 vote
0 answers
53 views
Generalizing Gâteaux derivatives and/or Clifford Analysis to $R$-Modules
I've been studying the intersection of Algebra and Analysis for a while. I read about Gâteaux derivatives, Clifford analysis, and generalized "structural" derivatives. I am not following the ...
- 11
0 votes
1 answer
153 views
Structuring/Planning Your First Original Research Project (graph theory/combinatorics - seeking advice)
thank you for taking the time to read this post. Some Context on My Background: I am an undergraduate student in mathematics, and I recently coauthored my first paper with my summer mentor. While ...
user1497245
4 votes
0 answers
97 views
Decomposition of $R[G]$ ring, from decomposition of $k[G]$
I was reading a paper on "Abelian extension of regular local ring". I have attached the paper Here there I found the following statement, $R$ is regular local ring, Let $k$ be the residue ...
- 41
-1 votes
1 answer
679 views
I want to do mathematics similar to style of Grothendieck. How is that possible? [closed]
I am a person who enjoys math. Out of interest, I would like to ask a (soft) question. One of the reasons that I am posting this question is because in doing mathematics, it is hard to get rid of the ...
- 4,068
3 votes
4 answers
738 views
Is it actually really easy to state conjectures, which are open and on the first view really hard to prove? [closed]
The longer I study mathematics, the more I think that we actually don’t know that much. I mean of course we don’t know that much, because theoretically mathematics is an infinitely big field of ...
- 61
0 votes
1 answer
138 views
Conjecture: Definite existence of a prime number in the range of ${[|3^{p_i}−k\times{p_i};3^{p_i}+k\times{p_i}|]}$
My old post was closed while I had clearly tried to explain at my best. So I'll retry without posting outer links and reexplaining at most details what this conjecture is about, which was a research ...
2 votes
0 answers
48 views
Is there a term for filling in additional entries of a binary matrix dependent on what is currently there?
I am doing a research project, and I found a way to store some data I have about my object into a binary matrix. It turns out that the possible matrices I am looking for can just be found by taking ...
- 118
2 votes
0 answers
231 views
Algebraic Topology and Robotics
How active is the current research scene on the application of algebraic and differential topology to robotics? I have spent a decent portion of time researching and reading introductory papers, but ...
- 608
3 votes
0 answers
120 views
How to learn necessary concepts for research and avoiding a fake impression of understanding?
As an undergraduate engaged in applied mathematics research, specifically within mathematical programming, my work has quite some intersection with areas like algebraic geometry for polynomial ...
- 1,986
1 vote
1 answer
284 views
When I finish an introductory abstract algebra book, where will I be? [closed]
In a few months, I think I'll be done with self-studying Introduction to Abstract Algebra by Nicholson. This book covers things like basic group theory, polynomials, factorization in integral domains, ...
- 932
1 vote
0 answers
148 views
Most accessible field for undergraduate independent research [closed]
I am studying in Europe as a mathematics undergraduate and I would like to start my own independent research in pure mathematics. I do not expect to find a field in which I would be able to prove new ...
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