For nearly an entire week, I spent many hours a day in MIT’s Hayden Library, immersing myself in introductory books on number theory and abstract algebra. It was a near-overwhelming amount of new notations, concepts, and ideas to absorb in such a short period of time, but I enjoyed the challenge and enthusiastically threw myself into mastering the mathematics necessary to solve my problem. In that short period of time, I learned the basics of group theory, radix representations, and residue classes, just to name a few…..

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• Mathematics