Undergraduate Research in Mathematics

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SUMMARY

Undergraduate Research Experiences (REUs) in mathematics are accessible to students with varying levels of coursework, though having completed more advanced classes enhances topic selection. Engaging in research can begin with basic topics such as continued fractions, which require minimal background knowledge. For more complex areas like linear algebra, modern algebra, or number theory, students should aim to complete sophomore or junior-level courses to better prepare themselves for research opportunities.

PREREQUISITES
  • Understanding of undergraduate mathematics coursework
  • Familiarity with research methodologies in mathematics
  • Basic knowledge of topics such as continued fractions
  • Completion of sophomore or junior-level math classes for advanced topics
NEXT STEPS
  • Research available REUs in mathematics and their application requirements
  • Explore the topic of continued fractions and related mathematical concepts
  • Study linear algebra and modern algebra to prepare for advanced research
  • Investigate number theory and its applications in undergraduate research
USEFUL FOR

Undergraduate students in mathematics or physics, aspiring graduate students, and anyone interested in pursuing research opportunities in mathematical topics.

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I plan on one day going to graduate school for Math or Physics, depending on what graduate programs I get into and where my interest finally ends up falling. I am already doing some undergraduate research in physics and I began to wonder about if REU's in math were common and if so, what level do you typically have to be at in order to get involved in them?
 
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Sure they are. The question I would have for you is, how many math classes have you had so far? You could honestly do research in anything math-related, but obviously the higher up you are, the more options you will have as far as choosing an interesting topic. I just looked online and found someone that did a project on continued fractions:

http://archives.math.utk.edu/articles/atuyl/confrac/

As far as I know, you really don't need that much background to do this and it seems like an interesting topic. However, if you want to do something on linear algebra, modern algebra, number theory, etc.. you might want to get some sophomore/junior classes knocked out and you'll have a better understanding of what to do.
 

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