# Marco Castronovo

Welcome! I am a Ritt Assistant Professor at Columbia University.

Here is my CV.

### Research

I'm interested in symplectic topology, Floer theory and mirror symmetry.

- Curved Fukaya algebras and the Dubrovin spectrum

In preparation - Lagrangian cobordism of positroid links

with J. Asplund, Y. Bae, O. Capovilla-Searle, C. Leverson, A. Wu

Submitted - Liouville domains from Okounkov bodies

Submitted - Exotic Lagrangian tori in Grassmannians

*Quantum Topology 14 (2023), no. 1, 65-99* - Fukaya category of Grassmannians: rectangles

*Advances in Mathematics 372 (2020), 107287, 40 pp.*

### Code

- Posetroids

This generates a list of all positroid strata in a given Grassmannian, together with the partial order on them induced by Zariski closure. - ClusterExplorer

This is a random walk on the exchange graph of the cluster structure of the top positroid strata. These spaces are believed to support Landau-Ginzburg models for Grassmannians, and the walk allows to study the Laurent polynomials describing the potential in each chart.