Undergraduate Research and Mathematics Graduate Programs

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SUMMARY

This discussion centers on the impact of undergraduate research on admissions to mathematics graduate programs, specifically in theoretical computing and cryptography. The consensus among graduate students suggests that undergraduate research is often undervalued compared to standardized tests like the Putnam, MGRE, and overall GPA. However, faculty perspectives, such as those from the Air Force Academy, indicate that research experience can be significant for applicants. The participant is encouraged to seek guidance from their own faculty and consider the relevance of their research to future job markets.

PREREQUISITES
  • Understanding of Putnam and MGRE standardized tests
  • Familiarity with undergraduate research methodologies
  • Knowledge of theoretical computing concepts
  • Basic principles of cryptography and computer security
NEXT STEPS
  • Investigate the role of undergraduate research in various mathematics graduate programs
  • Prepare for the Putnam competition and MGRE exams
  • Explore faculty mentorship opportunities for research guidance
  • Research job market trends related to theoretical computing and cryptography
USEFUL FOR

Undergraduate mathematics students, aspiring graduate students in mathematics, and individuals interested in theoretical computing and cryptography research.

bacte2013
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Dear Physics Forum advisers,

I am a rising college junior (five-years tract) with a major in mathematics and an aspiring mathematician in the fields of theoretical computing and cryptography. I apologize for this sudden interruption but I wrote this email to seek your advice on the impact of undergraduate research on the mathematics graduate programs. Starting of August, I will be conducting the separate undergraduate research on the theoretical computing (abstract, math-heavy) and computer security (programming-focused but utilizing algebra and number theory). I am very excited to start investigating those topics as they are super interesting to me and steered me to love the mathematics. However, I just received the advice from some of graduate students, and they said that the undergraduate research does not matter much in the admission process since many mathematics graduate programs (both MS and Ph.D) view undergraduate-level research as not matured enough to reflect the mathematical abilities of applicants than Putnam, MGRE, and GPA. They told me to focus on preparing for Putnam and spending all time on the math courses. I am quite surprised as I thought (at least in the biology program; I was a former microbiology major) that the research experience is strongly expected from the applicants. I would really like to focus on my research as I like my research topics and I learn the math best when I have specific problems (such as research topics) to focus on, but the advice I got is really discouraging...Could you share your thoughts and experience? If I should stick with my undergraduate research, should I focus only one of two (theoretical computing or computer security) rather than conducting two separate research? I initially decided to conduct two research as I thought having as many research experience of my interest is very important.

PK
 
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The importance of undergraduate research depends on where you are and what grad programs you anticipate applying to.

When I was on the math faculty of the Air Force Academy, the math faculty regarded research experiences as very important for their math majors.

Your school's faculty are probably better sources of advice than the local graduate students, especially once they know what your aspirations are.

The research experiences you have in mind will also serve you well in many job markets.
 

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