Explore a novel approach to analyzing property tax patterns and their implications for housing quality and community structure in this 51-minute conference talk. Delve into the application of topological data analysis (TDA) methods to examine 210 property tax maps from 21 cities. Learn how clustering and dimension reduction techniques are employed to classify samples and identify features of local tax patterns. Discover how evaluating topological features reveals property tax value structures within each sample and provides an efficient general classification. Compare this innovative clustering method to traditional measures and investigate its relationship with local land use and indicators of regional demographic heterogeneity. Gain insights into how this topological approach offers a fresh perspective on analyzing living standards and policy effectiveness in the field of economics.