My work focuses on symplectic topology, Floer theory and mirror symmetry. Lately I have been thinking about the monotone Fukaya category of Grassmannians, and its relations with a variety of topics: integrable systems, toric degenerations, cluster algebras, singularities of Landau-Ginzburg models.
- Exotic Lagrangian tori in Grassmannians
- Fukaya category of Grassmannians: rectangles
To appear in Advances in Mathematics.
I coded ClusterExplorer. This is a random walk on the cluster charts of the Landau-Ginzburg models of Grassmannians, that can compute various quantities of interest along the way.