Abdol-Reza Mansouri, Professional Engineer (PEO)
Associate Professor
Department of Mathematics & Statistics
Queen's University
picture of me



Graduate Student Recruiting:
  • I am continuously seeking highly motivated and well-prepared M.Sc. and Ph.D. candidates with an interest in pure and applied mathematics, especially in the general areas of differential geometry, nonlinear and geometric control theory, and image processing.
  • Interested candidates should contact me directly by e-mail.
  • A link to our departmental page on graduate studies.
  • A link to the online application.
Research Interests
  • Hypoelliptic Operators and Heat Kernels
  • Geometric Equivalence
  • Topological Obstructions in Control Theory
  • Mathematical Problems in Computer Vision and Image Processing
Academic Experience
  • Post-Doctoral Associate, Laboratory for Information and Decision Systems, MIT.
  • Ph.D. (Applied Mathematics), Harvard University.
  • M. Sc. (Mathematics), McGill University.
  • M.Eng (Electrical) McGill University.
  • B.Eng (Electrical) McGill University.
Current Post-Doctoral Fellows
  • Dr. Shahla Molahajloo (2011 - , co-supervision with Prof. A. Lewis)
Current Graduate Students
  • Steven Wu (M.Sc., 2010 - , co-supervision with Prof. T. Linder)
Former Graduate Students
  • Caroline Seguin (M.Sc., 2009-11)
  • Ian Scriver (M.Sc., 2010-11), currently a M.Sc. student in Earth and Atmospheric Sciences at University of Alberta
  • Andrew Brennan (M.Sc., 2010-11), currently a PhD student in Bioengineering at Harvard University
  • Jeffrey Calder (M.Sc., 2008-10), currently a PhD student in Mathematics at University of Michigan, Ann Arbor
  • Bahman Gharesifard (PhD, 2005 - 2009, co-supervision with Prof. A. Lewis), currently a Post-Doctoral Research Associate in Mechanical and Aerospace Engineering at University of California in San Diego
  • Thomas Norman (M.Sc. 2006-07), currently a PhD student in Systems Biology at Harvard University
  • Michael Greene (M.Sc. 2006-07)
Selected Recent Publications
  1. C. Seguin, A. Mansouri, "Short-time asymptotics of heat kernels of hypoelliptic Laplacians on unimodular Lie groups", Journal of Functional Analysis Vol. 262 (9) 2012, 3891--3928.
  2. J. Calder, A. Mansouri, "Anisotropic image sharpening via well-posed Sobolev gradient flows", SIAM Journal on Mathematical Analysis Vol. 43 (4), 2011, 1536--1556.
  3. J. Calder, A. Mansouri, A. Yezzi, "New Possibilities in Image Diffusion and Sharpening via High-Order Sobolev Gradient Flows", Journal of Mathematical Imaging and Vision Vol. 40 (3), 2011, 248--258.
  4. J. Calder, A. Mansouri, A. Yezzi, "Image Sharpening via Sobolev Gradient Flows", SIAM Journal on Imaging Sciences Vol. 3 (4), 2010, 981--1014.
  5. A. Mansouri, "Topological Obstructions to Submanifold Stabilization", IEEE Transactions on Automatic Control Vol. 55 (7) 2010, 1701--1703.
  6. A. Mansouri, "An Extension of Cartan's Method of Equivalence to Immersions: I. Necessary Conditions", Differential Geometry and its Applications Vol. 27 (5) 2009, 635--646.
  7. R.W. Brockett, A. Mansouri, "Short-time asymptotics of heat kernels for a class of hypoelliptic operators", American Journal of Mathematics Vol. 131 (6) 2009, 1795--1814.
  8. B. Gharesifard, A. Lewis, A. Mansouri, "A geometric framework for stabilization by energy shaping: sufficient conditions for existence of solutions", Communications in Information and Systems Vol. 8 (4) 2008, 353--398.
  9. A. Mansouri, "A topological obstruction to unit tangent bundles", C.R. Math. Acad. Sci. Soc. R. Can., Vol. 29 (3) 2007, 87--90.
  10. A. Mansouri, "Local asymptotic feedback stabilization to a submanifold: topological conditions", Systems Control Lett., 56 (2007), no. 7-8, 525--528.
  11. A. Mansouri, "Topological obstructions to regular non-integrable rank-2 distributions", C. R. Math. Acad. Sci. Paris 344 (2007), no. 7, 453--456.
  12. A. Mansouri, "Pattern generation, topology, and non-holonomic systems", Systems Control Lett., 54 (2005), no. 10, 953--959.
  13. A. Mansouri, "On isotropic sub-Riemannian contact manifolds", C. R. Math. Acad. Sci. Paris 339 (2004), no. 1, 39--42.
  14. A. Mansouri, D.P. Mukherjee, S.T. Acton, "Constraining active contour evolution via Lie groups of transformation", IEEE Trans. Image Proc., 13 (2004), no. 6, 853--863.
Teaching
  • Winter 2012: MATH 943 -- Special Topics in Geometry and Topology: Sub-Riemannian Geometry
  • Winter 2012: MATH 332 (Introduction to Control)
  • Winter 2012: APSC 174 (Introduction to Linear Algebra)
  • Fall 2011: MATH 943 -- Special Topics in Geometry and Topology: Sub-Riemannian Geometry
  • Fall 2011: MATH 430/830 (Modern Control Theory)
  • Fall 2011: MATH 844 (Introduction to Differentiable Manifolds)
  • Winter 2011: MATH 332
  • Winter 2011: APSC 174
  • Fall 2010: MATH 430/830
  • Winter 2010: MATH 332
  • Winter 2010: APSC 174
  • Fall 2009: MATH 430/830
  • Fall 2009: MATH 844
  • Winter 2009: MATH 332
  • Winter 2009: APSC 174
  • Fall 2008: MATH 430/830
  • Winter 2008: MATH 332
  • Winter 2008: MATH 844
  • Fall 2007: MATH 430/830
  • Fall 2007: MATH 949 -- Special Topics in Differential Geometry: Geometric Equivalence
  • Winter 2007: MATH 332
  • Winter 2007: MATH 844
  • Winter 2007: MATH 891 -- Special Topics in Applied Mathematics: Viscosity Solutions of Hamilton-Jacobi PDEs
  • Fall 2006: MATH 430/830
  • Winter 2006: MATH 844
  • Winter 2006: MATH 335 (Mathematical Methods for Engineers)
  • Fall 2005: MATH 430/830
Professional Memberships
  • American Mathematical Society (AMS)
  • Mathematical Association of America (MAA)
  • Society for Industrial and Applied Mathematics (SIAM)
  • Institute of Electrical and Electronics Engineers (IEEE)
  • Professional Engineers Ontario (PEO)
Contact
419 Jeffery Hall,
Queen's University,
Mathematics and Statistics,
Kingston,  ON K7L 3N6, Canada
email: mansouri at mast.queensu.ca