Welcome

_{This is my only website which is dedicated to my professional activities as a research mathematician and instructor. I am not active in social media . All other websites or social media pages with a similar name does not belong to me.}

Contact information: 
Email: shahriar.aslani(at)math.toronto.edu 
Offices: 307B PG building, Saint-George Campus. 
3097B Deerfield Hall, UTM. 

About me:

I obtained my Ph.D. in June 2022 from DMA in Ecole Normal Supérieure under advisory of Prof. Patrick Bernard.
My research field is mainly Hamiltonian dynamics. I’m also interested to explore sub-Riemannian geometry and weak KAM theory.
Since September 2022, I’m a postdoctoral fellow in mathematics department of the University of Toronto where I’m conducting research with supervision of Prof. Ke Zhang.

Curriculum Vitae

PUBLICATIONS

• Ph.D. Thesis: Bumpy metric theorem in the sense of Mañé for Hamiltonian vector fields, June 2022. (HAL) (Slides)
• (With Patrick Bernard), Bumpy metric theorem in the sense of Mañé for non-convex Hamiltonian systems, Preprint, January 2022. (HAL)
• (With Patrick Bernard), Normal form near orbit segments of convex Hamiltonian systems, International Mathematics Research Notices, January 2021. (doi) (HAL)

TALKS

• 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 Poincare 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.

TEACHING

• 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.