The Covid-19 pandemic continues to impact the health and well-being of communities all across
the globe. From the outset, epidemic models have played a key role in advancing understanding
of the potential threat and in shaping public health responses. In this talk, I will highlight both
near- and long-term challenges in controlling Covid-19. In doing so, I will focus on ongoing
efforts to characterize non-canonical features of spread (including gathering-associated risk and
the impacts of heterogeneity) as well as efforts to use testing (including PCR and serological
tests), as a means to mitigate and control ongoing spread.