nderstanding tensions in cosmological measurements

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There are currently several important tensions in the measurements of cosmological probes. Firstly,the current expansion rate of the Universe is found to have fairly significantly contrasting valuesdepending on whether expansion is inferred from nearby probes (e.g. supernovae together with thedistance ladder) or distant ones (the Cosmic Microwave Background). Secondly, the amount ofclustering of material in the current Universe is found to be different when inferred from nearby probes(e.g. weak lensing) or distant ones (the Cosmic Microwave Background).What is going on? This project will seek to (a) collate and assess the current reported measurements,particularly focusing on finding where the tensions really lie; (b) find the level of success with whichnew dark energy and gravity theories can account for the tensions; (c) engage in measuring thetensions with the full Dark Energy Survey.Embedding Gravitational