Questions that ask about some aspect of mathematical research or study which doesn't involve the actual mathematics. In general, soft questions can be answered without using mathematical reasoning.
1
vote
0answers
116 views
What are current trends/questions in algebraic logic? [on hold]
What are current trends/questions in algebraic logic?I mean the research developed by Paul Halmos.
And anyone could give some reference for overview of it's history?
Also any overview of it's ...
-3
votes
0answers
94 views
geometry on topics [on hold]
Im undergraduate and i feel that is the moment to decide in what topic i will start doing research, i like geometry and i feel very interested in try to understand and maybe create links between ...
5
votes
1answer
222 views
What are good ways to present proofs of theorems requiring auxiliary lemmas? [on hold]
I am writing an academic paper for submission to a journal. One of my co-authors wrote the following:
Theorem Statement of the theorem
Proof of theorem We first show the following result
...
6
votes
1answer
176 views
Rigid analytic spaces vs Berkovich spaces vs Formal schemes
I wonder if someone could explain briefly what is the relation between these 3 formal models, of a Berkovich space, a rigid analytic space and a formal scheme?
I have been working with formal schemes ...
17
votes
3answers
620 views
Why Cohen-Macaulay rings have become important in commutative algebra?
I want to know the historic reasons behind singling out Cohen-Macaulay rings as interesting algebraic objects.
I'm reviewing my previous lecture notes about Cohen-Macaulay rings because now I'm ...
-1
votes
0answers
11 views
Learning roadmap for additive combinatorics [migrated]
I have read Calculus by Michael Spivak. Now I want to learn additive combinatorics though I have no experience with combinatorics or probability theory. To my understanding, there is a book on the ...
31
votes
14answers
2k views
Research-level mathematical bookstores
I'm interested in compiling a list of bookstores around the world that stock a good selection of high-level mathematical books. The aim is so that a mathematician travelling, or on holiday, can easily ...
13
votes
10answers
949 views
An example of a proof that is explanatory but not beautiful? (or vice versa)
This question has a philosophical bent, but hopefully it will evoke straightforward, mathematical answers that would be appropriate for this list (like my earlier question about beautiful proofs ...
4
votes
1answer
148 views
Origins of Axiomatic Reasoning
Is there any evidence that axiomatic reasoning has been used prior to Thales of Milet (624-547BC), who is generally credited for the "invention" of axioms.
In this context I understand axioms in the ...
33
votes
16answers
2k views
How does the work of a pure mathematician impact society? [closed]
First, I will explain my situation.
In my University most of the careers are doing videos to explain what we do and try to attract more people to our careers.
I am in a really bad position, because ...
1
vote
4answers
426 views
What is the meaning of “algebraic construction”, and how could this be used in algebraic geometry
I try to make my question clear:
When reading a paper or listening a seminar talk, people showed me some set, and claim it to be a scheme; or some map, and claim it to be a morphism. I query why this ...
30
votes
9answers
1k views
Homotopy as a general organizing principle
One of the realizations that led to the development of Homotopy Type Theory (HoTT) is that the ideas of homotopy theory have very broad applicability in mathematics. Indeed, Quillen model categories ...
7
votes
1answer
230 views
Number theory underlying Euler's theory of music
I've recently been studying Euler's theories on music, and I came across Euler's concept of gradus suavitatis or 'degree of pleasure' of a rational number representing the ratio of two tones. (I found ...
4
votes
7answers
675 views
Review papers in mathematics
Are there review papers, literature reviews in mathematics that describe the recent developments in various fields for a newcomer? Or is the prerequisite knowledge always provided in research ...
4
votes
3answers
616 views
How to Discover Counterexamples and Required Objects [closed]
What are strategies or tips, which research mathematicians have discovered through their work and experience, that would help undergraduates learn how to discover counterexamples or find an object on ...
