Cosmological Constraints from Current Cosmic Microwave Background and Type Ia Supernova Data: A Brute Force, Eight-Parameter Analysis

We describe constraints on a ``standard'' 8 parameter open cold dark matter (CDM) model from the most recent CMB and SN1a data. Our parameters are the densities of CDM, baryons, vacuum energy and curvature, the reionization optical depth, and the normalization and tilt for both scalar and tensor fluctuations. We find that although the possibility of reionization and gravity waves substantially weakens the constraints on CDM and baryon density, tilt, Hubble constant and curvature, allowing e.g. a closed Universe, open models with vanishing cosmological constant are still strongly disfavored.