Habib Alizadeh
Email: firstname dot lastname dot math at gmail.com
Positions:
Postdoc at USTC; started 09-2025.
Visiting scholar at IAS; 01-2025 to 07-2025.
Ph.D. from UdeM under the supervision of Egor Shelukhin; 2021-5.
Masters in Number Theory/Geometry from the ALGANT; 2019-21.
Interests: I am interested in (infinite-dimensional) Morse theory, Floer theory, pseudo-holomorphic curves, persistence modules and barcodes and more; see also my CV.
Research
My collaborators: M.S. Atallah, D. Cant, B. Serraille, E. Shelukhin, V. Stojisavljevi\'c
Preprints:
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.
Expository notes:
A survey on Gromov's simplicial volume conjecture. Master thesis under the supervision of Clara Löh and Giovanni Rosso.
Talks
Spectral diameter of a symplectic ellipsoid, Institute for Advanced Study, February 2025, Video.
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, Video.
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.
you can find me on Fridays at:
CRM Local Symplectic Topology Seminar, CRM-Montréal.
Symplectic Zoominar, CRM-Montréal, Princeton/IAS, Tel-Aviv and Paris.
we might have met in:
Weyl laws across mathematics, Brin MRC Maryland, May 2025.
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, online, September 2022.
Workshop in Analytic and Geometric Aspects of Gauge Theory, MSRI Berkeley, online, August 2022.