My research interest lies in differential geometry, symplectic geometry, and mathematical physics. It includes multisymplectic geometry, homotopy Lie algebras, homotopy momentum maps, diffeology, and field theories. In particular, I am interested in the geometry of classical field theories, the description of their symmetries, and reduction methods.
I am currently learning about graded geometry, shifted symplectic structures, and functorial field theories.
Homotopy reduction of multisymplectic structures in Lagrangian field theory, 2025, submitted contribution to the Springer-INdAM volume "Poisson Geometry and Mathematical Physics", available at arXiv:2505.09492