Welcome

_{Hold your smartphone or tablet horizontally if you’re using one.}






_{Contact information:}
_{Email: s.aslani(at)pm.me}

_{Chern Institute of Mathematics, Nankai University, 
Tianjin 300071 China, 
Room 309.}

About me:

I earned my Ph.D. in June 2022 from the Département de Mathématiques et Applications at the École Normale Supérieure, advised by Patrick Bernard. My doctoral research focused on Hamiltonian dynamics.
From September 2022 until August 2025, I was a postdoctoral fellow and instructor at the Department of Mathematics at the University of Toronto, conducting research supervised by Ke Zahng. In this period, I applied techniques from Hamiltonian dynamics to address certain problems in sub-Riemannian geometry.
Since September 2025, I have been a postdoctoral researcher at the Chern Institute of Mathematics, working with Guowei Yu.

PUBLICATIONS

Normal singular geodesics of a conformally generic sub-Riemannian metric, Nonlinearity, Volume 38, Issue 12, December 2025 (arxive) (doi)
(With Ke Zhang) Bumpy metric theorem for co-rank 1 sub-Riemannian and reversible sub-Finsler metrics, accepted in Journal of Modern Dynamics, 2025. (arxive)
(With Patrick Bernard) Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonian systems, to appear in Journal of Modern Dynamics, 2025. (HAL)
Bumpy metric theorem in the sense of Mañé for Hamiltonian vector fields, Ph.D. thesis; École Normale Supérieure – PSL, June 2022. (pdf) (slides)
(With Patrick Bernard), Normal form near orbit segments of convex Hamiltonian systems, International Mathematics Research Notices, Volume 22, Issue 11, June 2022. (HAL) (doi)

TALKS

Upcoming

,,,

Previous Talks

Normal singular orbits with minimal rank of a real-analytic D-Hamiltonian, CMS Summer 2025, Université Laval, June 2025.
Normal singular geodesics of a generic sub-Riemannian metric, Queen’s University, April 2025.
Bumpy metric theorem for co-rank 1 sub-Riemannian metrics, Dynamics Seminar at the University of Toronto, November 2024.
Bumpy metric theorem for contact structures, Université de Montréal, May 2023.
Perturbation theorem for linearized Poincare maps and its applications, University of Manitoba, February 2023.
Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonians, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Geometry and Topology Seminar, January 2022.
Mañé generic properties of non-convex Hamiltonian systems, Ruhr University Bochum, January 2022.
Normal form on orbits of a Hamiltonian vector field and its applications, Institut de Mathématiques de Jussieu-Paris Rive Gauche, working group of Hamiltonian and Symplectic Dynamics, October 2021.
Geometric control methods in the study of Mañé perturbations of the linearized Poincaré maps, Moscow Seminar of Geometric Theory of Optimal Control, April 2021. (Virtual)
Local normal form on orbits of a convex/non-convex Hamiltonian vector field, Seminaire des Doctorants d’Analyse d’Orsay, March 2021. (Virtual)

TEACHING

Summer 2025, Linear Algebra I, University of Toronto Mississauga.
Winter 2025: Differential Equations, University of Toronto Mississauga.
Fall 2024: Vector Calculus, University of Toronto Mississauga.
Summer 2024: Linear Algebra I, University of Toronto Mississauga.
Winter 2024: Reading course : Symbolic Dynamics and its applications, University of Toronto Mississauga.
Winter 2024: Linear Algebra II, University of Toronto Mississauga.
Fall 2023: Differential Equations, University of Toronto Mississauga.
Summer 2023: Multivariable Calculus, University of Toronto Mississauga.
Winter 2023: Linear Algebra II, University of Toronto Mississauga.
Fall 2022: Introduction to Mathematical Proofs, University of Toronto Mississauga.