Theoretical Cosmology.- Current Trends in Mathematical Cosmology.- Casimir Effect Contribution to the Cosmological Constant.- Masses of Cosmological Structures.- Geometrical Aspects of Cosmic Magnetic Fields.- Galactic Magnetic Fields as a consequence of Inflation.- Relaxation of the Cosmological Principle.- A Note on Wavemap-Tensor Cosmologies.- Inflation in String Theory and how you can get out of it.- Quantum Cosmology for the General Bianchi Vacuum Geometries.- Black Hole Entropy, Topological Entropy, Baum-Connes Conjecture.- Observational Cosmology.- Froth across the Universe.- Cosmological Parameters.- Forming Counterrotating Galaxies.- Cosmological Parameters from the Clustering of AGN.- Large-Scale Environmental Effects of the Cluster Distribution.- Scale Dependence of Dark Energy Antigravity.- Probing the Evolution of Galaxies using Redshifted H? Emission.- Gas in the Universe.- Summary.- Report to Anaximander.