Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics
Abdol-Reza Mansouri

Abdol-Reza Mansouri

Title: Professor,
Chair of Mathematics & Engineering
Office: Jeffery Hall, Rm. 416
Phone: (613) 533-2419
Research: Sub-Riemannian geometry, stochastic analysis & Malliavin calculus, geometric control theory, mathematical problems in image processing

  Degrees & Accolades

Ph.D. (Harvard University)
M.Sc. (McGill University)
B.Eng. (McGill University)

  Research Profile

I am interested in the broad area of sub-Riemannian geometry, especially in the interplay between the analytic aspects (hypoelliptic heat kernels and their short-time asymptotics) and the geometric ones (Carnot-Caratheodory distance, cut/conjugate loci, etc.). Their study often involves the use of stochastic analysis and Malliavin calculus techniques. Within geometric control theory, I am especially interested in problems that are of a topological nature, such as uncovering topological obstructions to the realization of a particular control objective. I am also interested in anything mathematical related to image processing, such as the study of partial differential equations in imaging, as well as inverse imaging problems.

I am continuously seeking highly motivated and well-prepared M.Sc. and Ph.D. students with an interest in pure and applied mathematics, especially in the general areas of sub-Riemannian geometry, stochastic analysis, and nonlinear and geometric control theory.