This is a link for questions relating to undergraduate research

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2
votes
1answer
91 views

Undergraduate set theory research [on hold]

What are some topics for undergraduate Set Theory research? And what are the prerequisites for such topics? I'm graduating next year, and I'm interested in Set Theory. I have been always interested ...
2
votes
0answers
64 views

Inquiry about My Self-Study Plan for Real Analysis (associated with my undergraduate research) [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I recently got an undergraduate research in the ...
5
votes
3answers
287 views

What mathematical analysis book should I read (research, Putnam, personal enrichment)? [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the fields of computation theory and cryptography. Recently, it became important matter that ...
2
votes
1answer
73 views

Researching in Mathematics

I am presently pursuing Engineering, but I want to make my career in the field of mathematics. How do I come to know of the specific topic in math in which I would like to research, in which I would ...
0
votes
1answer
27 views

graph theory, economics and learning prerequisites

I'm a undergraduate student of economics and I"d like to know which classes I have to take to get in in graph theory with the purpose to apply it to economic theory. Undergraduate math is sufficient ...
9
votes
1answer
133 views

Mathematical Research seems daunting [closed]

Suppose you are a research mathematician. I imagine your problems are generally unlike the problems of fellow scientists in the physical sciences, because you deal with proofs, and proofs demand ...
17
votes
8answers
1k views

Undergraduate Research Thesis

1. General background information ★ At my university [whose name I will omit] the following practices are customary: ● During their third year of study, students have approximately $4$ ...
15
votes
4answers
433 views

Problems from the Kourovka Notebook that undergraduate students can fully appreciate

The Kourovka Notebook is a collection of open problems in Group Theory. My question is: could you point out some (a "big-list" of) problems [by referencing them] presented in this book that ...
21
votes
2answers
552 views

Collections of undergraduate research projects

I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics: calculus; analysis; abstract algebra; linear algebra; number theory; geometry; ...
2
votes
1answer
73 views

Undergraduate Project Suggestions

A student of mine has expressed interest in doing an independent project next quarter with me. This would not be for credit and it is purely for her own educational stimulation. She wants to study ...
1
vote
4answers
104 views

Research ideas involving probability and pretty pictures?

I am interested in probability theory. I love making pretty pictures. There's an excellent probability theory researcher at my school I'd like to approach with a short term project idea, and I would ...
3
votes
0answers
113 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) ...
0
votes
0answers
32 views

Is there a finite set comprising the solutions to indefinite integrals of common functions?

There are some integrals that are impossible to express in terms of elementary function, for example, $ \int \frac{e^x}{x} dx $ is only expressible as a "special" function $Ei(x)$, the exponential ...
3
votes
0answers
162 views

Research in graph theory

I am studying mathematics in a small university, this is my second year of my undergraduate degree. Recently I became interested in graph theory and would like to do some research, but there is no ...
6
votes
1answer
146 views

Recommended research topics for high school student

I am a high school senior and I am interested in doing a math research. I hope someone can recommend areas or topics of research that are challenging, rewarding, and yet do not exceed my capability. ...
3
votes
1answer
90 views

Book Recommendations for Picard Big and Little Theorems

Does anybody have book recommendations for reading about Picard's Little and Big Theorems? Preferably, I am looking for a book that is intended for an undergraduate/first year graduate student who ...
21
votes
11answers
3k views

Gap year to study math

This is a plan in its earliest and thus least concise stage, so either bear with me or don't read the following babble (I bolded some of the important stuff): I am a high school graduate who is about ...
1
vote
0answers
62 views

Researching advice

Hey fellow mathematicians, For the second Semester of my senior year in high school I was able to work on an in depth project on prime counting functions, since I had already completed two years of ...
2
votes
1answer
83 views

How do you use reference books?

Reference books at the research levels often does not include any problem or exercise. While you can't read these books like novels(you normally need to work on other sheet of paper), I'm just ...
12
votes
3answers
1k views

Does writing a bachelor thesis make sense?

I am a math student in my fourth semester. At my university, it is common to write a bachelor-thesis in the end of the bachelor program in almost all subjects while in the math undergraduate program ...
11
votes
2answers
572 views

Undergraduate Mathematics Research

I am currently an undergraduate junior. I have taken most of the standard undergraduate math courses and a few introductory graduate courses (measure theory, algebraic topology, complex analysis, ...
11
votes
4answers
1k views

Topics on Number theory for undergraduate to do a project

Im an undergraduate in the mathematics field ..So i wanna be alittle more productive and wanted to do an essay or project mostly on number theory or Algebra(Rings or Groups) and i want to ask if you ...
4
votes
6answers
2k views

Applications of Complex Numbers

For my Complex Analysis course, we are to look up applications of Complex Numbers in the real world. The semester has just started and I am still new to the complex field. I want to get a head start ...
6
votes
3answers
593 views

How to stay academically active during a Mathematics Gap Year?

This year I started at the University of Cambridge to study Maths. I was very unfortunate to contract a serious infection early on in the term, and as a reult it has been mutually decided between ...
5
votes
1answer
758 views

Soft question : First year student and confused

I hope I won't tire the fellow mathematicians with this question but I am very, very confused... I am a first year undergraduate student of Mathematics. I can't say I am a prodigy, maybe having an ...
2
votes
3answers
171 views

What is an awesome book as an introduction to hyper groups

I'm a grad studen and i'm choosing an area to follow on my doctorate (in?) and I've been thinking about extension of topological group theory results to topological hypergroups, but for that i need to ...
0
votes
3answers
174 views

top journals in analysis [closed]

as an undergraduate I find analysis as my favorite.I want to read journals regarding that. give me top 5 journals in analysis(real,complex)? top 5 journals in differential geometry? and generally some ...
1
vote
1answer
84 views

I have reached a rut in my understanding of control systems. How do I cross this?

A little background here. I'm an undergrad in the final year. I have decided academia as my career path. My grades are not high but my research caliber is good and I have ongoing projects that are ...
1
vote
1answer
264 views

Operator curl and gradient

Operator curl $\nabla$ x$(\cdot)$ (x is cross product) working on a $ C^1$ vector field and operator gradient $\nabla(\cdot)$ working on scalar fields. And results of these operators is vector ...
6
votes
2answers
234 views

Level of math required to start research? [closed]

How much math does one needs to know to start doing research? Can you start just from an undergraduate understanding? Or do you need graduate level and beyond? How do high school students do math ...
43
votes
6answers
6k views

What is mathematical research like?

I'm planning on applying for a math research program over the summer, but I'm slightly nervous about it just because the name math research sounds strange to me. What does math research entail ...
20
votes
3answers
2k views

Research Experience for Undergraduates: Summer Programs (that accept non-American applicants)

There are many summer research programs in the United States, targeted at good motivated undergraduate students majoring in mathematics. The main aspects that characterize such programs are: (a) a ...