I worked remotely during the 2024 Summer Lab where I wrote code that generated visualizations of certain types of schottky groups using the Iterated Inversion System algorithm writing code in Java initially and then in Python. The main figures made during the 2024 research lab included a 4 kissing schottky group with 4 circle generators, as well as the Apollonian gasket with 4 tangential circles. Additionally I created a write up describing the setup including functions and parameters that created the visualization and accompanied this with a video that demonstrated how someone could generate their own visualizations with our project's code even if they had little programming experience.Â
I am also currently working in the 2025 ExpMMLL lab where our primary goal is to see how well machine learning models are able to solve the word problem for types of Coxeter and Artin groups and then attempt to determine how they achieve this under the hood.