- Cluster homology
- Diffeomorphism group
- Floer homology
- Geometry
- Geometry and topology
- Hamiltonian system
- Lagrangian submanifold
- Quantum homology
- Symplectic topology
- Topology

Our faculty members and researchers have vast expertise in many advanced aeras, as can be seen in the list below.
For the complete list of our experts, see the Departmental directory.