Research Interests

My research lies at the intersection of Differential Geometry and Geometric Analysis: this means that I seek to answer geometric questions using PDE-based methods, sometimes with additional inputs from other areas such as Algebraic Geometry and Geometric Measure Theory.

Many of the geometric problems that I am interested in concern the geometry of Riemannian manifolds with special holonomy, especially Calabi-Yau manifolds and their exceptional counterparts, G2 and Spin(7) manifolds. The beauty of these objects resides in their remarkable properties, which connect them to various other areas of mathematics, including Algebraic Geometry, Gauge Theory or even Mathematical Physics.

Recently, I have also been venturing outside my field of special geometry and started thinking about more distantly related topics, such as harmonic maps and Z2-harmonic forms.