The large-scale distribution of galaxies is a powerful probe of the composition of the Universe and gravitational physics. Standard studies of galaxy clustering from large surveys measure Ã¢â‚¬Å“2-point statisticsÃ¢â‚¬Â such as the correlation function or power spectrum. However, a great deal of additional cosmological information is encoded in the topology of the galaxy distribution, the characteristic network of clusters and voids that fills the Universe. This information is contained within the Fourier phases that are ignored in the standard analysis. My PhD project is oriented to utilize the latest galaxy datasets, such as the WiggleZ Survey, 6-degree Field Galaxy Survey and Baryon Oscillation Spectroscopic Survey, together with N-body simulations, to characterize the topology of large-scale structure.
The abundance and geometry of cosmic voids and superclusters, and correlations between the Fourier phases, will be used to test the cosmological model in new ways. We will explore optimal methods for filtering out the non-linear information that is difficult to model, such as density-field clipping and log-normal transformations. The result will be a series of cosmological tests to complement the standard approaches.
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