Explore the construction and systematic generation of Calabi-Yau manifolds in this 55-minute conference talk that delves into the mathematical frameworks and computational methods used to create these fundamental geometric structures in string theory and algebraic geometry. Learn about the theoretical foundations underlying Calabi-Yau spaces, their topological properties, and the innovative approaches being developed to systematically construct and classify these complex manifolds. Discover the intersection of pure mathematics and theoretical physics as the speaker presents cutting-edge research on automated generation techniques, geometric invariants, and the role these manifolds play in compactification scenarios. Gain insights into the computational challenges involved in building comprehensive databases of Calabi-Yau varieties and understand how modern mathematical tools are being applied to solve longstanding problems in differential geometry and string phenomenology.