Luca Vitagliano

Luca Vitagliano is a Full Professor of Geometry at the Department of Mathematics, University of Salerno. His research focuses on Differential Geometry and Mathematical Physics, with specializations in Poisson Geometry, Lie Algebroids/Groupoids, Differentiable Stacks, and Geometric Methods for PDEs. He has advised four PhD students, including Antonio Maglio (2025) and Pier Paolo La Pastina (2020). He teaches courses such as Geometry II, Homology and Cohomology, and Higher Geometry. His recent articles explore shifted contact structures, Nijenhuis integrations, and deformation cohomology.

• Education: Not explicitly stated in text
• Research Groups: Geometry Group at University of Salerno
• Affiliations: INdAM Intensive Period on Poisson Geometry, Poisson 2024 Conference

His work bridges pure mathematics (homological methods, stack theory) with applications in mathematical physics, emphasizing geometric structures like Jacobi manifolds and coisotropic submanifolds. He actively participates in international conferences and publishes with collaborators globally.