Math REUs 2015: SUMSRI or Fairfield?

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When choosing between SUMSRI, focusing on geometric group theory, and Fairfield, which emphasizes Markov chains, it's important to consider personal interests and future academic goals. Markov chains are noted for their applications in modeling systems, such as neutrino behavior, which some find more engaging than group theory. However, group theory offers valuable insights into various scientific concepts like conservation laws and crystal structures. Prospective students are advised to review the publications and research interests of potential mentors at both institutions, as this can help align their choice with their academic aspirations. Additionally, participating in a Research Experience for Undergraduates (REU) at either program could enhance graduate school applications and provide valuable networking opportunities.
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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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