Research

My research interests belong to the area of Poisson geometry meant in the broad sense of the term. First appearing in the 19th century, in the last thirty years since [Weinstein 1983], Poisson geometry has become an active research field establishing deep and rich connections with a number of areas within algebra, geometry and mathematical physics.

More specifically, in the last three years, as a PhD student I have investigated deformation and moduli theory of coisotropic submanifolds in Jacobi manifolds. As a by-product of my PhD studies I have also got interested in a series of different problems all concerning the geometry of Jacobi manifolds. The techniques required in such research activity include: geometry of jet spaces, calculus of first-order (multi)-differential operators, graded geometry, higher homotopy structures, homological/homotopical algebra, Lie groupoids and algebroids.

My research projects (past and present) can be grouped by topics as follows:

• Geometry of Jacobi manifolds,
• Coisotropic deformation problem,
• Higher homotopy structures,
• Multiplicative structures on Lie groupoids.