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Failure of Unique Factorization and Gauss Composition

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We review the idea of unique factorization into prime numbers in the integers, see how it fails once you toss in extra numbers into the integers, and one way (known as Gauss composition) number theorists can examine failure of unique factorization in certain cases. I’ll end the talk with a description of how my thesis is an analogue of Gauss composition.

This talk is part of the Churchill Scholars Overly Awesome Research Symposium (ChuSOARS) series.

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