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Habib Alizadeh
Email: firstname dot lastname dot math at gmail.com
My academic path:
I am currently a postdoctoral fellow at University of Science and Technology of China-Institute for Geometry and Physics where I work under the supervision of Jun Zhang. I was a visiting scholar at Institute for Advanced Study during the period 01-2025 to 07-2025. I obtained my Ph.D. at the Université de Montréal under the supervision of Egor Shelukhin in 2025. I obtained my Masters degree in Number Theory/Geometry from the ALGANT Program in 2021 under the supervision of Clara Löh and Giovanni Rosso.
My interests: I am interested in both symplectic and contact dynamics problems and usually my main tools are different types of Floer theories and their corresponding persistent modules and barcodes. I like C^0-symplectic geometry and always try to think of C^0 versions of the smooth problems that I work on. I also enjoy reading, and have occasionally used, the topological techniques developed in surface dynamics including the transverse Brouwer foliations and forcing theory.
Research
So far, I have had the privilege to collaborate with: Marcelo Sarkis Atallah, Dylan Cant, Dan Cristofaro-Gardiner, Abror Pirnapasov, Baptiste Serraille, Jianqiao Shang, Egor Shelukhin, Vukasin Stojisavljevi\'c, Weiwei Wu, Jun Zhang.
Preprints:
On the spectral diameter of the Grassmannians, joint with M. S. Atallah, D. Cant and J. Shang, 2025,
arXiv, Final version, submitted.
Published/Accepted:
The spectral diameter of a symplectic ellipsoid, joint with M. S. Atallah and D. Cant, 2024,
arXiv, Final Version, accepted in J of Symplectic Geometry.
Lagrangian intersections and the spectral norm in convex-at-infinity symplectic manifolds, joint with M. S. Atallah and D. Cant, 2023,
arXiv, Final version, accepted in Mathematische Zeitschrift.
Hamiltonian fragmentation in dimension four with applications to spectral estimators, 2023,
arXiv, Final version, Published in J of Topology and Analysis.
On the group of $\omega^{k}$-preserving diffeomorphisms, 2023,
arXiv, Final version, Published in Annales mathématiques du Québec.
notes:
Invariants symplectiques et fragmentation des difféomorphismes hamiltoniens. PhD thèse under the supervision of Egor Shelukhin.
A survey on Gromov's simplicial volume conjecture. Master thesis under the supervision of Clara Löh and Giovanni Rosso.
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