Aspects of asymptotic safety for quantum gravity

We study fixed points of quantum gravity with renormalization group methods and a procedure to remove convergence-limiting poles from the flow. The setup is tested within the f (R) approximation for gravity by solving exact recursive relations up to order R^70 in the Ricci scalar, combined with resummations and numerical integration. Results include fixed points, scaling exponents, the gap in the eigenvalue spectrum, the dimensionality of the UV-critical surface, fingerprints for weak coupling, and the quantum equations of motion. Our findings strengthen the view that ``most of quantum gravity'' is rather weakly coupled. Another novelty are a pair of de Sitter solutions for quantum cosmology, whose occurrence is traced back to the removal of poles. We also address slight disparities of results in the literature and give bounds on the number of fundamentally free parameters of quantum gravity.