Fundamental Cosmology from Galaxy Surveys at Low and High Redshift

I will present a program of extracting cosmological information by combining effective field theory (EFT) techniques with data from spectroscopic galaxy surveys. I will highlight previous successes of this program and share recent results, including new measurements of fundamental cosmological parameters and novel constraints on dark energy from the public DESI survey data. I will then discuss the extension of this program to high redshift galaxy clustering and Lyman-alpha forest data, which will be central to the next generation of surveys such as DESI-II and Spec-S5. These surveys will produce the largest and the most precise map of our Universe to date, with the potential for transformative discoveries in cosmology and particle physics. I will demonstrate how EFT techniques address the challenge of precision modeling of high redshift clustering data and I will argue that these techniques will play a major role in the exploration of our Universe at this new frontier of precision cosmology.