Explore advanced computational techniques in commutative algebra through this 52-minute conference talk delivered by Federico Galetto from Cleveland State University at the Fields Institute. Delve into sophisticated mathematical methods and algorithms used to solve problems in commutative algebra, building upon foundational concepts to examine more complex computational approaches. Learn about cutting-edge research developments in the field and discover how computational tools can be applied to tackle challenging algebraic problems. Gain insights into the intersection of abstract algebra and computational mathematics, with practical applications and theoretical frameworks that advance understanding of commutative algebraic structures.