Research
At the moment, I am interested in the interplay between low-dimensional topological properties of orbits of Hamiltonian systems, Hofer geometry and Floer Homology. Essentially, my results are corollaries of the well known but extremely useful fact that 2+2=4. Here is the slide (PDF) I wrote for a lightning talk in Budapest about a result of mine.
Methods I apply include Generating Functions homology, Hamiltonian and Lagrangian Floer homology, together with their filtered structures.
Publications & preprints
- The completion of the set of Lagrangians and applications to dynamics - Based on lectures by C. Viterbo
- Hamiltonian Braids via Generating Functions
- Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus
- Link Floer Homology and a Hofer Pseudometric on Braids
Unpublished
- My doctoral dissertation: Braids in Low-Dimensional Hamiltonian Dynamics (PDF)
- My M2 thesis: Floer and Morse Homology via Generating Functions (PDF)
- My Bachelor’s thesis: Fast-Slow Systems and Bifurcations in Neuroscience (PDF)
Where I will be
Where I was
- Symplectic Topology - A conference in honor of Kai Cieliebak
- Symplectic Topology, Hamiltonian Dynamics, and Persistence Structures. A conference in honour of Octav Cornea
- Two Days in Symplectic Dynamics and beyond
- Workshop on Geometry, Topology, and Machine Learning (GTML 2025)
- Laudenbach 80
- Workshop: Billiards and quantitative symplectic geometry
- Symplectic Dynamics and Topology
- Geometry and Mathematical Physics
- Geometry and Topology 2024
- Symplectic Dynamics in Aachen
- From Hamiltonian Dynamics to Symplectic Topology and Beyond. A 2024 celebration of Claude Viterbo and his mathematics
- Floer Homotopy Theory Spring School
- Symplectic Dynamics in Montevideo
- SFT X - Workshop on Symplectic Field Theory X
- From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications
- LP-60: Geometry and Dynamics. A Conference in Honour of Leonid Polterovich
- Persistence Homology in Symplectic and Contact Topology
- Symplectic Dynamics-INdAM Meeting
- Winter school in singularities and low dimensional topology
- Two days in Symplectic Dynamics
- Giroux60
- Frontiers of Quantitative Symplectic and Contact Geometry
- Braids in Low Dimensional Topology
- Braids in Symplectic and Algebraic Geometry
- Hyperbolic and Symplectic Dynamics
- Symplectic 2021