b'Theoretical Interpretations on the COVID-19 Virus from Five Counties Around Atlanta, Georgia using Topological Data Analysis TechniquesMallory L. BucklerSponsor: Dr. Shaun AultTopological Data Analysis (TDA) is a new field of study that utilizes concepts from topology and geometry to read and interpret different aspects or features found in higher-dimensional sets ofpoint clouds. In order to examine these clouds, we gathered six-dimensional statistical data from five various counties around the Atlanta, Georgia area. These data sets included Fulton, DeKalb, Cobb, Gwinnett, and Forsyth. We focused primarily on the statistical numbers of the effects of the COVID-19 virus on the populations of each separate district. From there, we used knowledge in areas of homology, more precisely persistence homology, to make observations about the overall persistence of certain clusters of data in the overall sets. This information was displayed on graphs showing their Rips Complexes and later their overall persistence was demonstrated via Persistence Diagrams. Through our interpretations, we found that the higher dimensional sets caused less persistence, and from there we looked at the possibility of the data in lower dimensions by excluding linear variables from the data. Thus, we are able to utilize these techniques in TDA to make theoretical interpretations on this kind of higher-dimensional data and make claims based on these findings.38'