THE SCALE-FREE DYNAMICS OF U.S. CITIES

Ph.D. in Physics, Complexity Northwestern University Jan 2022 - Present
Scaling laws reveal a quiet geometry beneath urban life: as cities grow, patterns emerge in innovation, infrastructure, inequality, and violence. This project uses ideas from physics and complex systems to study how U.S. cities change with population size, and how deviations from expected scaling relationships expose the histories and structures that make each city. Publications Changes in poverty and ethnic diversity explain 60 year of US Murder Rate Vishnoi2 2026 A Bayesian Heirarchical scaling model for estimating U.S. Arrest data Vishnoi1 2026