What are the names of the research journals that focus on convex geometry? I know of "Advances in Geometry" and "Discrete & Computational Geometry" but no others. Context of question: I am a graduate student who recently submitted a paper to a geometry research journal. They did not accept my...

Since the natural logarithm, i.e. with base $e$, is very commonly used in research papers and that both $\ln(x)$ and $\log(x)$ are used to denote it, it is natural* to ask which of these notations to use when preparing a paper. The fact that both are used in literature concerning the same topics ...

Note: My first question in this site. MSE users asked me to post this question here for better response I am a Masters student in Pure Mathematics. I need to do a Masters thesis in "Linear Algebra in Graph Theory" where I will have to publish some original work in our Departmental Journal mean...

I’m working on a paper that makes heavy use of colorful diagrams to supplement the text. For most of these it would probably not be possible to create grayscale versions that convey the same information as effectively. I’m a bit worried about this because (1) I imagine that some people like to pr...

I am a PhD student at one university and an invited professor at a second, i.e. I do not have a permanent position in the second one. Now I need to indicate an affiliation in a journal paper but I do not know whether to indicate or not to indicate a university where I am an invited professor. ...

The title says most of it really. How constrained are you in an academic career based on the topic of your PhD thesis? Is it plausible for someome to be researching in an area of math vastly different from their thesis topic later in an academic career, or does it largely determine the scope of r...

I have done my Master's degree in mathematics and currently I am doing Ph.D. in mathematics in India. I have completed my course work and my supervisor works in Topological Groups. He suggests me some books for reading like Topological Groups and Related Structures by A. V. Arkhangelʹski...

I'm developing a theory that (I think) is pretty good and something new. I'm thinking of contacting a respected researcher (one of the best in the field), mainly because I'm not 100% that this has not been already done (perhaps under another context) or perhaps the theory even isn't new, but equi...

Admittedly, this is a soft question. My own experience in mathematical research has been of long periods of research, mostly characterized in long "blocks" and sporadic breakthrough. How does this image fit with research semesters, in which many researchers (veterans, early careers, postdocs a...

It's been a few months since I've been curious about mean curvature flow and now I'm reading Robert Haslhofer's lecture notes. I like the subject and would like to do research on it, but I know neither where to start nor current research trends. Can anyone explain the main threads of research in...

Suppose $X\sim \text{Bin}(2n,p)$ and $X_1,X_2\sim\text{Bin}(n,p)$ are independent, with $X_1+X_2=X$. I'm interested in the rate of convergence for the absolute difference $$ \left\vert P(X>c|X_1\leq a,X_2\leq a)-P(X>c)\right\vert $$ where $a$ and $c$ are constants in a neighborhood of $np$ and $2...

The solution exact solution of the Helmholtz equation for the scattering of waves by a sphere is relatively straightforward and has been known since the time of Lord Rayleigh. The exact solution of the wave equation for scattering of waves by a sphere is much trickier and has been dealt with in ...

I am writing a paper for an independent study course I am enrolled in. I have contributed all of the work to the project. My supervisor has been a guiding force during this research, suggesting things here and there. These suggestions haven't changed the fundamental focus of the project. When di...

How much truth is there to Chomsky's remark that "mathematicians stop working when things get too difficult"? https://youtu.be/atupfHizJxM?t=453 Is this true in your own work? How do you know you are finished with a given line of inquiry (at least for the time being) and it's time to publish t...

I've taken a graduate course in model theory and I like it so much that I can imagine doing research in this area. Are there survey articles or review papers on the current research topics in model theory? Where can I find them? Also, I wish there is literature about the common proof techniques ...

I had a discussion with my advisor about what am I interested as my future research direction and I said it is special functions and q-series. He laughed and said that the topic is essentially dead and the people who study it are dinosaurs. I'm really confused by this statement and don't know wha...

As it is reasonable to think the work of mathematicians will be developed/made in their offices of universities (or in eventual seminars or conferences), here are the colleagues, books and journals, connection to databases and blackboards. My belief is that a great part of mathematicians conti...

Admittedly, a soft-question. I, being a very young researcher (PhD student) have personally faced the following situation many times: You delve into a problem desperately. No progress for a very long while. All of a sudden, you get the light, and boom: the result is proven. Looking in retrospect...

I would like to know sources, articles, books or other, that provide information on ethical aspects in the research of mathematics, I wondered what is the literature that this community knows about ethical issues and proposals that were proposed in the context of mathematical research. Ques...

A soft question. I am a PhD student, at early stages of my academic career; and have personally experienced the following many times. Sometimes you come up with a result, that you are not quite happy with (for whatever reason, maybe you think is not novel, or is simple, or has no applications, ...

I would like to know as curiosity how the editorial board or editors* of a mathematical journal evaluate the quality, let's say in colloquial words the importance, of papers or articles. Question. I would like to know how is evaluate the quality of an article submitted in a journal. Are there...

I want to get into some of the big classification problems in algebraic geometry, but have a very broad question. Ultimately we would like to classify all varieties over some field up to isomorphism, and this is done via moduli theory. I am studying the moduli of elliptic curves at the moment. Fr...

I have completed studying Galois theory, Fermat's Last Theorem for Regular prime and some number theoretic complex analysis (prime number theorem), and basic linear forms in logarithm. What else should I complete reading to be eligible to read contemporary literature in Diophantine Equation (Expo...

Lately, I have been learning about the replication crisis, see How Fraud, Bias, Negligence, and Hype Undermine the Search for Truth (good YouTube video) — by Michael Shermer and Stuart Ritchie. According to Wikipedia, the replication crisis (also known as the replicability crisis or reproducibili...

This is a question about learning mathematics outside of the standard undergraduate/graduate education. The following is a quote from Thurston's On Proof and Progress in Mathematics: My mathematical education was rather independent and idiosyncratic, where for a number of years I learned things ...

This is a question about practice and publication of research mathematics. On the Wikipedia Page for Experimental Mathematics, I found the following quote: Mathematicians have always practised experimental mathematics. Existing records of early mathematics, such as Babylonian mathematics, typica...

Obviously, mathematics provides essential tools for physicists, biologists, economists, engineers and many others to use in their research. Equally obviously, physics, biology, economy and engineering provide the inspiration for research topics and directions in mathematics. But this isn't what t...

Perhaps some personal background is relevant to this question. A couple of years ago, I graduated with a master's degree in Applied Mathematics from a good Dutch university. Even though I obtained somewhat decent grades for the courses and the thesis (a 7/10 on average, maybe a B in the American ...

I am looking for a taxonomy of proof methods in mathematics. For basic proof methods I would think of proof by contradiction, mathematical induction, structural induction (yes I am a computer scientist), proof by symmetry, proof by duality for advanced proof methods, forcing comes to my mind. For...

Mathematicians work a lot and are usually inspired by many things. In their lifetimes they get to publish only portions of their results. There have been stories of how Gauss, Euler, Ramanujan, Einstein, Hilbert etc kept notebooks and in it we can find glimpses to their thought processes and glim...

Since the old days, many famous mathematicians have been attaching monetary rewards to problems. I would like to put monetary bounties on some research mathematics problems. Some of those problems might be solved or partially solved by a hard-working college graduate in pure math. The ideal platf...

Since the old days, many famous mathematicians have been attaching monetary rewards to problems. I would like to put monetary bounties on some research mathematics problems. Some of those problems might be solved or partially solved by a hard-working college graduate in pure math. The ideal platf...

I've seen internet jokes (at least more than 1) between mathematicians like this one here about someone studying a set with interesting properties. And then, after a lot of research (presumably after some years of work), find out such set couldn't be other than the empty set, making the work of y...

I am a first year PhD student in mathematics (complex differential and Kahler Geometry) and the other day I had a thought about the difficulty of starting to do research. This is my first post here but I have some in Math Stack-exchange. First of all I hope this is the right place to post such a ...

The letter below is written by my son. I have been sending him text books and looking for answers on the internet to keep his interest up. He has progressed so far on his own and now he needs direction and assistance from a professional in mathematics. Any advice or assistance you can provide is ...

All professional mathematicians feel discouraged occasionally due to some issue. My question is: How do professional mathematicians deal with discouragement? In this link , Andrew Wiles say that I would go out for a walk. I'd often walk down by the lake. Walking has a very good effect in ...

Are there ongoing initiatives to systematically archive all notes of mathematicians? If not, what body (the IMU? the AMS? The Clay fundation?...) should I contact to make that case? Of course in the case of exceptional mathematicians, e.g. Grothendieck and Quillen in recent years, there has be...

I am highly interested in doing research on proving irrationality of some specific numbers like Euler-Mascheroni Constant or $\zeta(5)$. A professor guided me that arithmetic nature of constants are a topic of Diophantine Approximation and there are lots of research relating Ergodic Theory and Di...

I am a first year graduate student and I am eager to work on irrationality/transcendental proofs of specific numbers like Euler's constant gamma. Because backgrounds for Elliptic Curves include very much of Algebraic Geometry but there is no professor working on Transcendental NT, Analytic NT or ...

This question is regarding the proof strategy presented in the paper, "On The Grayson Spectral Sequence", which its overview is explained in page 1 and 2. It seems a very general approach is presented for proving when two bigraded cohomology theories are the same, here one of the cohomology theor...