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Plage Calanque de Sugiton, CIRM, Marseille, FR.

Habib Alizadeh

Email: firstname dot lastname dot math at gmail.com

I am a Ph.D. student at the Université de Montréal under the supervision of Egor Shelukhin. I did my masters in Number Theory/Geometry in the ALGANT program.

I am interested in (infinite-dimensional) Morse theory, Floer theory, pseudo-holomorphic curves, persistence modules and barcodes and more; see also my CV.

I will be holding a visiting scholar position at the Institute for advanced study (IAS) from January to July 2025.

research

My collaborators: M.S. Atallah, D. Cant, B. Serraille, E. Shelukhin, V. Stojisavljevi\'c.

The spectral diameter of a symplectic ellipsoid, joint with M.S. Atallah and D. Cant, 2024, arXiv, 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, nder revision.
Hamiltonian fragmentation in dimension four with applications in spectral estimators, 2023, arXiv, Video, Published in J of Topology and Analysis.
On the group of $\omega^{k}$-preserving diffeomorphisms, 2023, arXiv, Published in J of Annales mathématiques du Québec.
A survey on Gromov's conjecture on non-vanishing of the simplicial volume of non-positively curved manifold with negative Ricci-curvature. Master thesis under the supervision of Clara Löh and Giovanni Rosso.

talks

Series of expository talks on orbifolds, working group at CRM-Montreal, November 2024.
Spectral diameter of a symplectic ellipsoid, CRM-Montreal, October 2024.
Hamiltonian fragmentation in dimension four with applications in spectral estimators, differential geometry and symplectic topology seminar, University of Minnesota, October 2024.
Lagrangian intersections and the spectral norm in convex-at-infinity symplectic manifolds, CRM Montréal, February 2024.
Hamiltonian fragmentation in dimension four with applications in spectral estimators, CRM-Montréal, Princeton/IAS, Tel-Aviv and Paris, Symplectic Geometry Zoominar, October 2023. Video
On the group of $\omega^{k}$-preserving diffeomorphisms, CRM-Montréal, March 2023.

Seminars

CRM Local Symplectic Topology Seminar, CRM-Montréal.
Symplectic Geometry Zoominar, CRM-Montréal, Princeton/IAS, Tel-Aviv and Paris.
Spectral and Symplectic geometry Seminar, CRM, Montréal

conferences

CRM Nirenberg Lecture Series in Geometric Analysis, CRM-Montréal, October 2023.
Birationality in complex and symplectic geometries, UQÀM Montréal, September 2023.
Workshop on Symplectic Field Theory 10, Humboldt Universität Berlin, August 2023.
From smooth to C^{0}-symplectic geometry: topological aspects and dynamical implications, CIRM Marseille, July 2023.
LP60: Geometry and Dynamics. A conference in honor of Leonid Polterovich, ETH Zürich, June 2023.
Workshop in Floer Homotopy Theory, MSRI Berkeley, September 2022.
Workshop in Analytic and Geometric Aspects of Gauge Theory, MSRI Berkeley, August 2022.