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Explore the algebraic structure of skew braces through a mathematical lecture that presents a classification of these dual-group structures with Morley rank at most three. Learn about skew braces as mathematical objects carrying two group operations + and ∗ connected by the left distributive law a(b + c) = ab − a + ac, originally developed to analyze solutions to the set-theoretic Yang–Baxter equation from theoretical physics. Discover how these structures have evolved beyond their physics origins to become subjects of pure algebraic investigation. Examine the systematic classification approach for skew braces of small Morley rank, understanding both the theoretical framework and specific results for ranks one, two, and three. Gain insights into collaborative mathematical research through work conducted with Moreno Invitti, Maria Ferrara from Caserta, and Marco Trombetti from Naples, demonstrating how complex algebraic problems are tackled through international academic partnerships.
