Dimension of Algebraic VarietyExplores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Signal RepresentationsCovers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.
Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Field of Rational FunctionsExplores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.