Blog Post 2

Three years ago I was not majoring in Applied Mathematics, so my knowledge of my current field at the time was likely very limited. Although, if I were to guess what knowledge I had around that time (considering this was three years ago and I don't recall too clearly what I did and did not know during that time), I would probably guess that I thought that all mathematicians did was count really high, along with other things that were seemingly useless from my outsider perspective. While I have learned that this is partially true (excluding the "useless" part), as I have often experienced that some advanced mathematics requires some form of counting - often enough to very large numbers (in particular, partitions, Mersenne  primes, etc.).  Surprisingly, these things often do have very strong applications in the real world. For instance, Mersenne primes are very useful in cryptography; while, on the other hand, partition functions might still not have any distinct applications that I know of at this time. This is contrary to my original belief approximately three years ago, but has wowed (and fascinated) me since learning about them. 

My future learning aspirations include learning Abstract Algebra, and hopefully going on from there to learn about Algebraic Number Theory and Algebraic Combinatorics. I hope to eventually master these topics, then assist with finding unique and powerful applications of the already rich material located at the core of these topics. Additionally, I hope to eventually solve open problems in these fields, then use these to solve other problems with applications that are useful to all of humanity. To achieve this, I plan on taking introductory courses in these topics and self-studying when I have time. I also look to hopefully conduct research at a summer REU in the coming years - one which covers closely related topics. 

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