Number Fields: Embeddings and Ideal Classes

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Explores Hermite-Minkowski theorems in number fields and ideal classes.

Explores the properties and applications of logarithmic embeddings in number fields.

Explores embeddings of number fields, types, signatures, lattices, and determinants.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers dynamical systems on homogeneous spaces and their interactions with number theory.

Covers the relations between the ideal class group and proper fractional ideals.

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.