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Covers the fundamentals of convex optimization, including mathematical problems, minimizers, and solution concepts, with an emphasis on efficient methods and practical applications.
Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
On Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.
