오용근 연구실

Geometry and topology of Lagrangian submanifolds in symplectic geometry and Riemannian geometry, including minimal Lagrangian submanifolds and Lagrangian embeddings.

Generalization of Floer's original construction of Lagrangian intersection Floer cohomology and its applications to topology of Lagrangian embeddings.

Study of spectral invariants of Hamiltonian flow and their applications, leading to research on topological Hamiltonian dynamical systems.

Floer homology theory in symplectic geometry and mirror symmetry, with applications to toric manifolds and symplectic topology.

Symplectic topology and mirror symmetry, including applications of Floer theory to geometric and topological problems.