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The Dark Energy Spectroscopic Instrument (DESI) collaboration is conducting a five-year survey to collect more than 40 million galaxy and quasar redshifts. Recently, the collaboration presented measurements of baryon acoustic oscillations (BAO) based on 14 million redshifts from the first three years of observations, yielding exquisite constraints on the cosmic expansion history. In this talk, I will give an overview of the latest cosmological constraints from DESI. I will discuss tensions with other cosmic and experimental datasets that could point to departures from LCDM, with a focus on the implications for dark energy and massive neutrinos. I will also discuss some of the physics behind the constraints.