Mathematics Stack Exchange
Mathematics Stack Exchange

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.

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.

313 questions
14
votes
3 answers

Are there any big controversies in contemporary mathematical research?

Are there any big controversies in contemporary mathematical research? Other domains contain big controversial research topics (for example string theory in physics). The specific nature of mathematics however, makes me suspect that there isn't much…
smurf
  • 307
13
votes
0 answers

How to find less-difficult-than famous unsolved problems?

When I was in my high school I studied 14 undergraduate books with almost all their exercises. I am about to begin my undergraduate in mathematics this week. I love to do research in mathematics. I met a few professors during the last few months and…
Emma
  • 535
7
votes
0 answers

Are there any disagreements among mathematicians?

I would like to know if there is any genuine disagreement among mathematicians. By this I don't mean disagreement over convention (e.g. Should a ring contain $1$?). Formally, I mean is there a mathematical proposition $P$, such that a sizable group…
user212223
  • 71
6
votes
1 answer

Do some fields of mathematics have more open questions than others?

I recently completed my first two quarters of abstract algebra and I really enjoyed the subject. However a professor of mine advised that there is not a lot of open problems or career opportunities in the field as compared to some other areas of…
user38770
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4
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2 answers

Math Research Opportunities for a Senior in High School

I'm a 17-year old senior in high school who will most likely be attending USC next year. I have experience in single, and multivariable calculus, linear algebra, some topology and some abstract algebra. I am passionate about math and wish to…
Spencer Gibson
  • 168
4
votes
0 answers

Are there any brand new areas of math where a high schooler could contribute?

I am a high schooler who really likes math, and I am interested in pursuing it in my undergraduate years. I have a basic facility with proofs, and I am currently exploring several different areas of math (analysis, graph theory, and topology). I am…
Conan G.
  • 1,102
4
votes
0 answers

Research Strategy Question

I am a third year math phd student who is just beginning research and I have a question about doing research in general. I would like to work on some projects on my own on the side. I started reading some papers but some are not very new, let's say…
Joe
  • 628
3
votes
1 answer

Searching Erdős paper on the lower bound of the Ramsey number

In the wikipedia article on the probabilistic method mentions in the paragraph "First Example" a proof attributed to Erdős. It is attributed to him in a 1947 paper. There is no 1947 paper in the references, neither is it mentioned in the talk. Where…
Asqiir
  • 145
3
votes
1 answer

Is most higher level math written in English?

There are many math journals published in English. Are there a lot of math journals written in Chinese, Russian, German, French, etc. they have no English translation? Are they only accessible to those who speak and read those languages? Could there…
user1035015
  • 77
3
votes
0 answers

Classical & Abstract Harmonic Analysis

My main question is about decision on research in math. What is the main differences between Classical and abstract Harmonic analysis?? Real Variables,Fourier Series, Functional analysis and General topology are they enough for correct decision on…
Jamal Gadirov
  • 205
2
votes
0 answers

What are some possible PhD research areas based on these course pairs?

Update: This question has been closed by the votes of 5 privileged users because it does not meet stackexchange's guidelines (it is considered off-topic). For questions about choosing a course / career / academic program you should reach out to…
Drew
  • 59
2
votes
1 answer

When is it possible to find necessary and sufficient conditions linking two concepts?

Status of this question: The notion I'm after is vague in my mind. I hope someone can clarify whether there is an exact version of the question I'm asking. It seems to me that one of the most important reason why a mathematician would be interested…
user56834
  • 12,925
1
vote
2 answers

An easy math paper to read for a high school student?

I am starting to learn about logic and, consequently, about proofs. I already knew that things have to be proven in mathematics, but I did not know that a high school student was able to do it. I always thought it was extremely advanced. I know…
user784856
1
vote
0 answers

Collection of mathematics and scientific papers of the "greats"

Is there any resource that has a great deal of the papers of the greats of mathematics and science(mainly interested in physics). Einstein, Noether, Gauss, Euler, Newton, Galios, etc and all the millions of the rest. I'm talking about pivotal…
Gupta
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1
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1 answer

Best way to find papers in Mathematics by a specific author?

I am a student studying Mathematics. I am looking for papers (in the field of abstract algebra) by a specific author. I wonder if there are standard ways, well-known strategies or methods you frequently use to find theses by a specific author. Any…
Tohru Kurita
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