In this talk, I will present my two most recent projects.
In the first part, I will discuss how tabletop laboratory tests of gravity can play an important role in understanding the nature of dark energy. I will introduce a set of numerical and AI-based techniques that are particularly useful for modelling and optimizing such experiments, and I will explore their implications for astrophysical-scale observations.
In the second part, I will present recent results from the COMPACT Collaboration on the development of new AI-based methods to constrain the topology of the Universe. I will show how the Cosmic Microwave Background (CMB) data can be used to probe the underlying cosmic topology and discuss the broader implications of these findings.
