Habib Alizadeh
Email: firstname dot lastname dot math at gmail.com
Positions:
Postdoc at USTC-IGP; 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
Nov 2025: Series of expository talks on equivariant Floer cohomologies, USTC-IGP, Hefei.
Nov 2025: Barcodes in symplectic geometry (spectral diameter of ellipsoids), Zhejiang University, Hangzou.
Oct 2025: The international conference on advanced topics in dynamical systems, Chern Institute of Mathematics, Nankai, poster.
Aug 2025: EIT topology conference, EIT, Ningbo, slides.
Feb 2025: Spectral diameter of a symplectic ellipsoid, Institute for Advanced Study, video.
Nov 2024: Series of expository talks on orbifolds, working group at CRM-Montreal.
Oct 2024: Spectral diameter of a symplectic ellipsoid, CRM-Montreal.
Oct 2024: Hamiltonian fragmentation in dimension four with applications in spectral estimators, differential geometry and symplectic topology seminar, University of Minnesota, video.
Feb 2024: Lagrangian intersections and the spectral norm in convex-at-infinity symplectic manifolds, CRM Montréal.
Oct 2023: Hamiltonian fragmentation in dimension four with applications in spectral estimators, CRM-Montréal, Princeton/IAS, Tel-Aviv and Paris, Symplectic Geometry Zoominar. video
Mar 2023: On the group of $\omega^{k}$-preserving diffeomorphisms, CRM-Montréal.
you can find me on Fridays at:
CRM Local Symplectic Topology Seminar, CRM-Montréal. (not anymore.)
Symplectic Zoominar, CRM-Montréal, Princeton/IAS, Tel-Aviv and Paris. (less often due to time constraints)
we might have met in:
May 2025: Weyl laws across mathematics, Brin Mathematics Research Center, Maryland.
Oct 2023: CRM Nirenberg Lecture Series in Geometric Analysis, CRM-Montréal.
Sep 2023: Birationality in complex and symplectic geometries, UQÀM Montréal.
Aug 2023: Workshop on Symplectic Field Theory 10, Humboldt Universität Berlin.
Jul 2023: From smooth to C^{0}-symplectic geometry: topological aspects and dynamical implications, CIRM Marseille.
Jun 2023: LP60: Geometry and Dynamics. A conference in honour of Leonid Polterovich, ETH Zürich.
Sep 2022: Workshop in Floer Homotopy Theory, MSRI Berkeley, online.
Aug 2022: Workshop in Analytic and Geometric Aspects of Gauge Theory, MSRI Berkeley, online.