Research
Overview:
My research is focused on geometry, analysis, and mechanics. More specifically, I am interested in the calculus of variations, symplectic geometry, and applications to Lagrangian and Hamiltonian dynamics.
Publications:
- Morse Theory and Stability of Periodic Billiard Trajectories w/ Daniel Offin, 2026 [arXiv]
- Dynamics and symmetry: An Excursion beyond the Hill Boundary w/ Daniel Offin, 2026
- A Morse Index-Maslov Index Theorem for Discrete Lagrangian Systems PhD thesis, under supervision of Daniel Offin, 2022 [QSpace]
- Keplerian orbits through the Conley-Zehnder index w/ Daniel Offin and Alessandro Portaluri, 2021 [Qual. Theory Dyn. Syst.] [arXiv]
