## Abdol-Reza Mansouri

Title: |
Professor, Chair of Mathematics & Engineering |

Office: |
Jeffery Hall, Rm. 416 |

Phone: |
(613) 533-2419 |

Email: |
mansouri@queensu.ca |

Website: |
mast.queensu.ca/~mansouri |

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.