Since the start of the COVID-19 pandemic, there has been an increasing awareness about the geographical heterogeneity of the spread of SARS-CoV-2 and such heterogeneity has been observed at different spatial scales in many countries across the world. This thesis investigates the possible relations between the geographic disparities in COVID-19 incidence and the differences in socio-demographic and economic profiles of the New York City neighborhoods. Moreover, the objective of the work is also to study the effects of the interventions imposed by the NYC government on the infection spread, in the period from March to October 2020. To this aim, we use a computational approach to model the epidemic dynamics in NYC at the zip code level.