General Relativity provides a compelling description of gravity as a geometric phenomenon, utilizing (pseudo)-Riemannian geometry, with a symmetric and metric-compatible connection known as the Levi-Civita connection. However, there are compelling reasons to explore the possibility of modifying this theory, particularly at different scales.

My primary research focus is on the field of metric-affine gravity, which diverges from General Relativity by allowing the connection and metric to be independent entities. Within this framework, two crucial post-Riemannian degrees of freedom emerge: torsion, representing the anti-symmetric component of the connection, and non-metricity, signifying a lack of metric compatibility. These modifications introduce a fresh perspective where intrinsic properties of matter, such as spin, dilations, and shears, play a significant role in shaping the gravitational interaction.

The main objective of my research is to conduct a comprehensive analysis of the consequences of altering the fundamental geometry of gravity, both theoretically and in practical applications, including cosmology and astrophysics. By doing so, I aim to unearth potential novel effects stemming from these unique geometric quantities, which could be measurable and may provide insights into a deeper understanding of gravitational forces at various scales.