Measuring σ₈ with Type Ia Supernovae at high redshifts

Studying Type Ia supernovae (SN Ia) allows us to measure cosmological parameters including dark matter and dark energy. Currently, these studies have focused on two cosmological properties: matter and dark energy densities. Our goal is to extend SNe Ia cosmology by adding a third parameter, σ₈, which describes the clustering of matter. For this analysis, I am fitting σ₈ (clustering), Ω_M (matter density), and the intrinsic variability of SNe Ia. We use simulations from the combined Dark Energy Survey, DESC DC2, and Roman work to determine magnifications for likely SNe discovered as part of the Roman Space Telescope Time Domain survey. The Roman Space Telescope is NASA’s next flagship mission and will produce more data than all previous SN Ia surveys combined. Also, it will give us the opportunity to go beyond our linear statistics and analyze our Universe in greater detail than ever. This research will allow us to add a third cosmological parameter for future SNe Ia analysis and the continued study of the early universe.