Research

My research interests are symplectic topology, contact topology and dynamics. Now I am focusing on the following projects:

• Study Hofer geometry and spectral geometry from local/global perspective
• Detect various phenomena in symplectic(contact) topology and dynamics via quantitative method
• Derive quantitative invariants(e.g. spectral invariants, barcodes, barcode entropy) from various homologies(e.g. Hamiltonian Floer homology, Rabinowitz Floer homology, Embedded contact homology)
• Discover connections between symplectic geometry and algebraic geometry