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Explore a 58-minute lecture on Donaldson-Thomas and Gromov-Witten theories presented by Artan Sheshmani at the University of Miami. Delve into the study of moduli spaces of algebraic curves and coherent sheaves, and their induced invariants over ambient complex dimensions 2, 3, and higher. Discover why these topics have been a central focus for mathematicians in the past 50 years, particularly due to their relevance in superstring theory. Gain insights into the computation of Gromov-Witten and Donaldson-Thomas invariants of complex algebraic varieties. This lecture serves as an introduction to these advanced mathematical concepts and provides a platform for in-depth discussions on their applications and implications in the field of algebraic geometry.