Research interests
I am interested in categorical symplectic geometry and its persistence version.
Papers
- Filtered Fukaya categories, Journal of Symplectic Geometry, 23(2), 423–509. https://doi.org/10.4310/jsg.250624013956 (see ArXiv for the preprint version).
In preparation:
- Approximability for Lagrangian submanifolds with Paul Biran and Octav Cornea,
- Hochschild barcodes of approximating families of Lagrangians.
Some notes about topics I like to think about
Here are some notes that I wrote over the years. Some of this material will converge in my thesis in March 2026.
- A detailed guide to Abouzaid's algebraic split-generation criterion, with and without $A_\infty$-modules
- Smoothness, split-generation and Abouzaid criterion following Ganatra, with a naive idea on how to prove equivalence.
- Introduction to persistence and triangulation in Lagrangian topology
- Some quantitative results on split-generation which will not appear anytime soon
- Errata on strict unitality of filtered Fukaya categories (thanks to Mohammed Abouzaid for pointing out the mistake.)
- Quasi-rigidity of Lagrangians in approximable Fukaya categories: relation to Viterbo conjecture and the equator conjecture