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Colloquium by David Kawall (UMass, Amherst) given at the Department of Physics, University at Albany, 27 Oct 2023. Abstract: The Fermilab muon g-2 experiment recently released a new measurement of the magnetic moment anomaly of the muon. Muons are like electrons, but heavier and short-lived. Their magnetic properties can be predicted with impressive precision. This prediction requires careful consideration of quantum corrections that arise due to the interactions of the muon with all the known particles of nature such as electrons, photons, W-bosons, etc. Comparison of the experimental results with theoretical predictions then serves as a powerful test of the completeness of the Standard Model of nature, since a discrepancy is expected if there were new particles in nature that affect the measurement but were unaccounted for in the prediction. The theory/experiment comparison has revealed some puzzles, whose resolution might indicate the need for new physics. The concepts behind the Fermilab experiment and the many challenges it faces will be presented, along with the comparison with theory and future prospects.