Marco Castronovo

Welcome! I am a Ritt Assistant Professor at Columbia University.
Here is my CV.

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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.

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