Joel David Villatoro
- Poisson Geometry
My main research interest is in differential geometry. More specifically, I am interested in Lie groupoids, Lie algebroids, and Poisson geometry. Much of my work involves the study of the smooth stacks and Morita equivalence. My main research goals are to obtain both explicit calculation of Morita invariants, such as the Picard group, and developing the theoretical framework for studying Poisson manifolds via their associated stacks.