Research

My research background is centered on the study of Dirac structures from multiple perspectives, providing me with a solid and coherent foundation in the subject. At the master’s level, I explored their applications to geometric mechanics, where they offer a natural framework for nonholonomic systems. This direction developed further in my PhD into a Lie-theoretic approach, viewing Dirac structures as Lie algebroids and combining them with a Nijenhuis tensor. This led to a notion of Dirac–Nijenhuis geometry that integrates to a presymplectic–Nijenhuis groupoid and is closely related to holomorphic Dirac geometry.

The current focus of my research is on multiplicative Courant algebroids, encompassing their categorical aspects, reduction, Morita invariance, and related topics.