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Explore the intricate world of singularities through the lens of BCM algebras in this comprehensive lecture delivered by K. Tucker from the University of Illinois at Chicago. Delve into advanced mathematical concepts as the speaker unravels the connections between singularity theory and BCM algebraic structures. Gain insights into cutting-edge research and applications in this hour-long presentation, suitable for graduate-level mathematics students and researchers interested in algebraic geometry and singularity theory.