Latest Results from the CUORE Experiment and Analysis Plans for Two Tonne-Years of Exposure

The Cryogenic Underground Observatory for Rare Events (CUORE) experiment is an ongoing search for neutrinoless double beta decay ($0\nu\beta\beta$) located at the Gran Sasso National Laboratory (LNGS) in Italy. With a detector mass of 742 kg and an operating temperature of approximately 10 mK, it is the coldest cubic meter in the known universe. Over the course of a four-year measurement campaign, the CUORE experiment has obtained over one tonne-year (1000 kg-years) of TeO$_2$ exposure, allowing us to conduct a high-sensitivity search for $0\nu\beta\beta$ and set a lower bound of the process half-life at $2.2\times10^{25}$ years (90\% C.I.). In this talk, I will give a brief overview of the CUORE experiment and discuss the results after one tonne-year of exposure. I will then discuss the ongoing effort to improve the analysis framework in preparation for the next analysis with two tonne-years of exposure. In particular, I will showcase results of noise decorrelation algorithms including the expected impact on the energy resolution of the CUORE detector for the two tonne-year dataset.