Questions asking for advice on various mathematical matters. Be careful that your question is answerable, and also that it is not a polling question (e.g. "What is the best / your favorite way to...").

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14
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0answers
2k views

What are some strong algebraic number theory PhD programs?

I am currently applying for PhD programs in the US. My main interests are number theory and algebra. More specifically, I am interested in algebraic number theory (number fields, Galois groups, ...
10
votes
0answers
512 views

Prerequisite of Projective Geometry for Algebraic Geometry

I studied Euclidean Geometry in high-school, and I have not studied anything relates to geometry since I started studying in university. I am now intending to study Algebraic Geometry, however, I ...
6
votes
0answers
84 views

Strategy for self-studying after M.S.

For someone who has finished their M.S. degree in pure mathematics, what is a good way to keep learning mathematics within your specialization? Would you suggest reading research articles from ...
6
votes
0answers
165 views

What is the best way to go about learning math?

I know this is a very subjective question, but after struggling on my own for a while I figured I might as well ask it. I did all the normal math classes in college (LinAlg, MultiVariable Calc, ...
5
votes
0answers
111 views

Problem solving strategy?

This question has always bothered me, and I've never had a maths coach to guide me along the way and show me what to do next. Nevertheless, I did make top 50 nationally in my national mathematics ...
5
votes
0answers
140 views

Analysis or (abstract) algebra first?

Which one would you recommend? I only know calculus and linear algebra when it comes to university-level mathematics. Is one required to understand the other?
5
votes
0answers
77 views

Is there a proper etiquette for asking an author for their (mathematical) software?

This may not be the correct place to ask such a question. I have read a mathematical paper on multiclass total variation clustering. I wish to use the algorithm in the contents to compare with another ...
5
votes
0answers
469 views

which branch of maths studies Standard Logical Matrices

In classical logic you have truthtables like: & | T | F ---|---|--- T | T | F F | F | F In many valued logic you have tables like: (this one is ...
5
votes
0answers
102 views

A partial ordering on textbooks

After college, it has been very difficult to continue learning math as a hobby, I have the time for it, but I get incredibly frustrated when I run into something that it feels like I will never ever ...
5
votes
0answers
164 views

Recommendation textbooks on D-module

I am going to take part in a seminar on D-module and applications, the textbooks that will be used are : D-modules, Perverse Sheaves, and Representation Theory, and A Primer of Algebraic D-Modules ...
4
votes
0answers
108 views

should i try to continue in academia?

I actually have 2 questions. 1.What are my chances of going to grad school, 2.Should i go to grad school If I decide to go to grad school, what are my chances if: I got a C in Algebra first ...
4
votes
0answers
169 views

How to balance learning and researching as a new PhD student?

As a new PhD student, how to balance learning and researching? I am in Australia and here we don't have any course in PhD period. I know I need to learn something about my programme, but sometimes ...
4
votes
0answers
239 views

start studying advanced topics in number theory

I am a first year undergrad and have had elementary course in Number Theory which includes only basic introductory topics like: divisibility,gcd-lcm,primes,congruences, number theoretic functions etc. ...
4
votes
0answers
104 views

How can math students (not instructors) improve studying by Learning through Testing?

I hit upon Alex K. Chen's answer on What learning strategies do people who are "quick learners" follow? which links to this New York Times article To Really Learn, Quit Studying and Take a Test . ...
3
votes
0answers
66 views

Group Theory Research Topics [advice]

I'm currently a Senior Mathematics student in the US. I'm interested in Abstract Algebra, specifically Group Theory (I've taken a course that dealt entirely with Fields, but I enjoy Groups a bit more) ...
3
votes
0answers
53 views

A topic for seminar in finite group theory.

I am doing a course on "Structure of finite groups" and we have a choice of giving a presentation on topics related to the course, Course outline is as follows- I was thinking of O-Nan Scott ...
3
votes
0answers
41 views

My attempt to gather mathematical spaces in a drawing

There are many spaces (Sobolev, inner product spaces, etc.) that I am not using on a daily basis, but have to recall their definition from time to time. So I decided to draw a synthetic scheme of the ...
3
votes
0answers
219 views

Which is the best transitional mathematics book for self-teaching among the ones listed?

What is Mathematics, An Elementary Approach to Ideas and Methods - Courant Robbins Stewart How to Solve It, A New Aspect of Mathematical Solving - Polya Introductory Mathematics, Algebra and Analysis ...
3
votes
0answers
211 views

Isolation and self-study

A little background: I am currently a sophomore (studying mathematics) at an unknown university in the Middle East. My mother is European so it does not make sense to study mathematics in the Middle ...
3
votes
0answers
52 views

What should one do if one works on a problem and submits a paper only to find that it is already in some book?

What should one do if one works on a problem and submits a paper only to find from the editor, that the work is already in some book? The work is is not really easy to find on the internet and was ...
3
votes
0answers
99 views

My first simple direct proof (very simple theorem on real numbers). Please mark/grade.

What do you think about my first simple direct proof? What mark/grade would you give me? Besides, I am curious about whether you like the style. Theorem Let $I = [a,b]$ be a non-empty closed ...
3
votes
0answers
226 views

Bachelor Thesis - Galois Theory Research Topics?

I'm on the last semester of my bachelor's degree (undergrad degree) and I will be writing my thesis next semester. I have talked to a professor at my university and one of the topics he suggested was ...
3
votes
0answers
85 views

What is the most relavant math for statistics students?

As they say "the more math you learn the better". Unfortunately, I did not have a lot of mathematical training in my undergraduate. Now I am doing a master in mathematics, mainly to make up some ...
3
votes
0answers
597 views

Topic appropriate for undergraduate research program

This may be not appropriate to ask this kind of question here. But please feel freely helping me. In our Maths faculty, there is not a program like Undergraduate Research Program(URP), however, the ...
2
votes
0answers
25 views

Opportunities for Mathematicians to Work in Biological/Disease Areas

Yesterday, I was reading some of the question Can I Use My Powers for Good? and it got me thinking. It's quite an old question (3 years), so I don't want to resurrect it and also my own question's ...
2
votes
0answers
68 views

From newbie to professional, the path.

I left school long time ago because of family stuffs and with this I left many subjects behind and since then I try to find something to do and when I discovered the computer and what I can do with it ...
2
votes
0answers
32 views

Project-Math-Computing

Im an undergraduate student and me and my roomate who is an undergraduate also would like to do a project together. Im on the pure and some aplied math branch and he is on the computing branch.We are ...
2
votes
0answers
61 views

First hand written draft Or LaTex typed draft; when some one want to publish?

When some one solve a math research problem and want to publish it somewhere; of course one should type it in LaTex. My Question: What should be the ideal way(time) to type it, I mean first one ...
2
votes
0answers
38 views

How to relate two integration contour?

How one can relate two integration contour? For example if I have an integration contour like $\int_{-a}^{a}f(x)dx$ here let say a=infinity. How I can say that the integral $\int_{2}^{3}f(x)dx$ is a ...
2
votes
0answers
77 views

self-study hints

A question to those who took rigirous courses like math 25 (Harvard), MATH 295-396 Michigan and etc Being not able to collectively discuss problem sets from the course, as those who involved in ...
2
votes
0answers
109 views

How do I finish my problem sets on time? (The way I'm solving problems right now is very inefficient)

I'm embarrassed to say this. I'm an Applied Math major, I've been in college for three years, and I've never finished a problem set in my math classes. Despite this, I've only did well enough to least ...
2
votes
0answers
81 views

How to Read Michael Artin's Algebra

I am currently reading Algebra by Michael Artin (for self study). I'm finding the book pretty interesting, but I'm still not sure how I should study the book. For example, should I try to prove every ...
2
votes
0answers
134 views

A Compact Real Analysis book for a graduate student, who is short of time.

I am a Phd student in Computer Science and I want to focus on Machine Learning, especially on statistical methods. My problem is, I always keep hitting the wall when it comes to studying underlying ...
2
votes
0answers
62 views

Working on strengths vs. weaknesses as an undergraduate student

I realize there's a lot of general advice on this site and elsewhere about studying mathematics, but I couldn't find anything about this, so I've decided to ask: as an undergraduate student, I'm ...
2
votes
0answers
93 views

In what order should I study?

I would like to study the basic fundamentals of mathematics from the beginning and move on from there as my understanding of the subject is lacking. In what order should I study? Arithmetic ...
2
votes
0answers
39 views

On ambiguity in statements expressed in natural language, where the statements use an indefinite article, e.g. “a”.

Please consider the following example statements and judge the meaning of the article "a". Example: A house is a building. Example: A house is being built next to our house. In example 1, "a" is ...
2
votes
0answers
111 views

Should I drop Differential Equations?

For many years, my university offered only one Bachelor's degree in math, "Bachelor in Mathematical Subjects." Here, Differential Equations is a mandatory part of the degree. Further specialization in ...
2
votes
0answers
46 views

which university and specific degree in maths to go for after B.tech(computers).

I am an Indian,B.tech(Computer Science).I am working as Software engineer in India. I do have very much interest in maths and wish to continue my studies in it through distance learning courses or I ...
2
votes
0answers
148 views

What are some cool projects that can be done in a high school math class?

I'm studying to be a secondary math teacher and will be starting student teaching next month (an algebra 2 class). It's difficult to find activities and projects that are actually informative and time ...
2
votes
0answers
163 views

As a high school student, how do I go about doing research and writing a research paper?

I am currently a high school junior living in India and have already taken Differential Calculus and will be finishing Integral Calculus in 2 months time. I am interested in doing some research and ...
2
votes
0answers
102 views

How do I approach the foreign language requirement for PhDs in pure mathematics?

I see that many PhD programs require students to demonstrate students’ abilities to translate English mathematics papers to two of French, Russian, and German and different papers in those languages ...
2
votes
0answers
285 views

Math gre subject test scores and results?

I took the math gre scores back in October and did terribly (52%) even though I was scoring in the 70-80% on practice exams. I am interested in applying to Stanford's ICME and Berkeley's Stats ...
2
votes
0answers
335 views

Schaum's Outlines for self-study

I wish to learn Physics via self-study. I realize that I have a long way to go as far as Mathematics prerequisites: I will need to begin with Precalculus(I took that course many years ago, so I am ...
2
votes
0answers
193 views

Learning roadmap for mathematical biology

Which courses (undergrad level but also master's level) in mathematics and statistics should be taken by a student aiming for a PhD in mathematical biology? The basics I imagine are: Calculus ...
1
vote
0answers
59 views

Partial Differential Equations Course And Differential Geometry Prerequisites

Is the ordinary differential equations course a prerequisite for the partial differential equations course for a person who has passed the integral calculus course? Is it really required to have ...
1
vote
0answers
31 views

Advice needed in Cryptography

I'm currently in my undergrad studies (3rd Year in 2015) , majoring in pure mathematics and statistics. I'm thinking of pursuing cryptography for my Honours project, as its the closest thing that ...
1
vote
0answers
47 views

Which math class next

I just finished and Algebra for Calculus class this semester. I'm trying to work up to taking calculus (have to do up through calc 3). One person told me I should take trig next, and another calculus. ...
1
vote
0answers
13 views

Help with finding an optimal bilingual skill-based routing calculation.

First time post, I'm not sure if it is in the correct forum but this seems to be as a good place to try: I was wondering if anyone out there had experience dealing with a similar issue or knew of any ...
1
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0answers
67 views

Good community colleges for mathematics in US

Which community colleges in the US have the strongest mathematics programs ? After searching a bit on my own, I found North Seattle Community College - it seems to have a little stronger program ...
1
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0answers
53 views

Best way to learn material dealing with cosets, quotient groups and the isomorphism theorems

I'm self studying abstract algebra from Abstract Algebra by Dummit and Foote. I've been able to get through the first few chapters and do problems without any issue, until I hit the material on ...