How do we approach the Hubble tension?

Perhaps the most intriguing anomaly in cosmology today is the Hubble tension. Two constraints on the current expansion rate of the Universe are in tension - one assuming LCDM and observing the early universe and the other directly measuring H0 in the local universe. I have worked extensively on building models to resolve this tension, the most successful being the early dark energy (EDE) scenario. My talk will go over the phenomenological features that allow EDE to successfully resolve the Hubble tension and some theoretical models with these features. I will also discuss one important challenge that EDEs face - another, milder cosmological anomaly, the emerging large-scale structure tension.