Thin Group Matrix Investigation

Quick links: GitHub repository with more technical details, published paper (official), published paper (arXiv).

In 2020, my friend Michaela Polley approached me regarding a collaboration on some math research she was conducting with Prof. Eric Egge at Carleton College. At the time, they were interested in whether a particular group of matrices had an infinite number of left cosets. I was not then particularly well versed in the abstract algebra at play, but I understood the mechanics well enough to begin writing Python code to investigate this question. When my code needed to run faster, I developed optimizations and learned Numba.

In the end, though I did obtain a few results computationally that were not previously known, the research went off in a different direction. A more detailed technical summary of what I accomplished can be found in my GitHub repository. I am acknowledged in the peer-reviewed paper that my collaborators eventually wrote.