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Learn about mathematical structures in Lean through this lecture delivered by Filippo Nuccio as part of the Simons Foundation's MPS Workshop on Lean. Explore the formalization of algebraic and number-theoretic structures including rings, unique factorization domains, congruence, finite fields, and quadratic reciprocity. Develop proficiency in expressing mathematical concepts in Lean while working through undergraduate-level exercises that demonstrate the practical application of the Mathlib library. Gain hands-on experience with bilingual mathematics instruction that bridges traditional mathematical reasoning with formal verification techniques, preparing you for advanced collaborative projects in mathematical formalization.
