Research Focus
I am working in the area of symplectic geometry, with a particular focus on Hamiltonian group actions and integrable systems. Specifically, I study complexity one spaces, which are symplectic (2n+2)-dimensional manifolds with an effective Hamiltonian n-torus action.
Publications
- Tall Complexity One Spaces with k-colorable Skeleton, [arXiv], 2026.
- Semitoric Families on Pentagon Spaces (with A. Si), submitted, [arXiv], 2025.
- A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes. Accepted and to appear in Contemporary Mathematics, [arXiv], 2023
- Packing Densities of Delzant and Semitoric Polygons (with Y. Du, G. Kosmacher, J. Massman, J. Palmer, T. Thieme, J. Wu, and Z. Zhang), SIGMA 19 (2023), 081, 42 pages.