Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Signal RepresentationsCovers signal representations using Fourier transforms and projection theorems in the time-frequency plane.
Adelic Number TheoryCovers adelic number theory, focusing on properties of maximal open compact subrings and constructions of adelic spaces.
