This report comprises two parts. On the one hand, I will, based on the talks at the CM4 parallel session "Quantum Cosmology and Quantum Effects in the Early Universe" which I chaired, point to interesting recent developments in quantum cosmology. On the other hand, some of the basics of supersymmetric quantum cosmology are briefly reviewed, pointing to promising lines of research to explore. I will start with the latter, finishing the report with the former.
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