Cosmology past and ongoing projects in Toruń - brief summary for main page 
  Shape of the Universe 
Scientific models of the Universe are intended to satisfy the Einstein field equations, that roughly speaking, state that curvature = density. The models allow many different sorts of spaces, which have the local property called a 
metric (a sort of rule for locally measuring distances, that determines 
curvature) and have global properties that define them, such as 
topology. Together curvature and topology can be described as 
shape.
  Cosmic Topology 
TODO boud: brief summary of cosmic topology and our observational and theoretical research program.
  Metric parameters (curvature) 
The metric of our Universe model has many parameters such as the Hubble parameter, the baryon density parameter, the non-baryonic dark matter density parameter, and the dark energy parameter.
  Fluctuations 
The Universe is not perfectly the same everywhere in space - there are fluctuations compared to the average density. 
  Observational constraints - low to high redshift 
TODO boud: brief summary of observational large scale structure research programs, e.g. with Gary Mamon
  CMB non-gaussianities, inflationary scenarios 
Can a theory of inflation explain the origin of the density fluctuations? There are some observational hints that this might be the case. One of the research strategies for selecting an inflationary theory out of the many available scenarios is to check for non-Gaussian statistical properties of the fluctuations.
TODO Bartek: Something about results/projects.
  Collapsed objects 
Density fluctuations on the smaller scales (up to about 1 Mpc) collapsed gravitationally, forming galaxy clusters and galaxies in which stars and planets formed. Comparing observations of galaxies and galaxy clusters to the cosmic microwave background and separating the two effects is a major theme of the observational aspects of the 
OCRA program using our 32m radio telescope.
See also 
CosmoProjectsOld