I am a PhD candidate in mathematics at Utrecht University, working under the supervision of Prof. Dr. Gil R. Cavalcanti and Dr. Roberto Rubio Núñez.
I am a classical differential geometer at heart, but by accident now I also dabble in higher differential geometry. My main interests are holonomy at broad and generalized geometry à la Hitchin, a.k.a. geometric structures on Courant algebroids.
My main object of study right now is generalized holonomy. Generalized geometry can be approached in two fundamentally different ways: as a theory of classical geometric objects—a vector bundle with some geometric data on it—, or as a theory of higher geometric objects—symplectic Lie 2-algebroids—, but it is not always clear how these two interact. The notion of generalized holonomy is straightforward in the first sense, and we now have a proposal for it in the second sense. The relation between them remains unclear.
As a byproduct of my interest in classical holonomy, I have also become very interested in (almost) Hermitian geometry and its generalized counterpart.