Residue Fields and Quadratic Forms

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Explores integral representations, quadratic lattices, and the Hasse Principle.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.