Shah Faisal

Research Interests

I work in symplectic geometry, with a particular focus on questions related to Lagrangian submanifolds, Lagrangian capacity, and symplectic and Lagrangian embedding problems. A recurring theme in my work is the interaction between quantitative symplectic invariants and the geometry of Lagrangian submanifolds. I use a range of tools, including pseudo-holomorphic curve techniques, Floer-type homologies, and string topology. A broader picture looks like this.