Math REUs 2015: SUMSRI or Fairfield?

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    2015
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SUMMARY

The discussion centers on the decision between participating in the SUMSRI program focused on geometric group theory and the Fairfield program centered on Markov chains. The participant, a sophomore with a background in calculus, linear algebra, and real analysis, expresses a preference for Markov chains due to their application in modeling neutrino behavior. Recommendations include reviewing the publications of potential mentors and considering the alignment of the REU with future graduate school aspirations to enhance admission prospects.

PREREQUISITES
  • Understanding of geometric group theory
  • Familiarity with Markov chains
  • Knowledge of calculus and linear algebra
  • Basic concepts of real analysis
NEXT STEPS
  • Research the applications of Markov chains in particle physics
  • Explore geometric group theory and its relevance to conservation laws
  • Investigate the publication records of mentors at SUMSRI and Fairfield
  • Examine graduate programs associated with both REUs for future opportunities
USEFUL FOR

Undergraduate students considering research opportunities in mathematics, particularly those interested in geometric group theory or Markov chains, as well as individuals planning for graduate studies in related fields.

dbcodus
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I am trying to decide between SUMSRI(geometric group theory) and Fairfield(Markov chains). Thoughts on either of these programs? I am a sophomore who will have completed calculus, linear algebra, intro to proofs, and the first half of real analysis by the end of this year. Thanks in advance!
 
I don't know the programs, but I find changing systems in Markov chains to be more interesting than group theory, although I will admit, group theory is useful in understanding conservation laws, crystal lattices, etc. But recently I encountered a way to use Markov chains to model the long-term behavior of neutrinos in terms of what flavors they are. Really neat stuff!

I'd recommend looking through the publications of the mentors/professors you would be working with, or at least the abstracts, in order to see what may appeal to you more. As well as look at the graduate program to both; one of these very well may be the grad school you want to go to, and having done an REU there will boost your chances of getting in significantly, plus you'd have contacts, etc...
 

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