Abdol-Reza Mansouri, Professional Engineer (PEO)
Associate Professor
Undergraduate Chair for Mathematics and Engineering
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 Graduate Students
  • John Treilhard (M.Sc., 2012 - )
  • Babak Beheshti Vadeqan (M.Sc., 2013-, co-supervision with Prof. R. Murty)
  • Steve Yang (M.Sc., 2013-, co-supervision with Prof. A. Lewis)
Former Graduate Students and Post-Doctoral Fellows
  • Dr. Shahla Molahajloo (PDF, 2011-13 , co-supervision with Prof. A. Lewis)
  • Steven Wu (M.Sc., 2010-13 , co-supervision with Prof. T. Linder)
  • 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), Assistant Professor in Mathematics and Statistics at Queen's University
  • 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. A. Mansouri, "Topological Obstructions to Distributed Feedback Stabilization", Proceedings of the 51st Allerton Conference on Communication, Control, and Computing, October 2013.
  2. 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.
  3. J. Calder, A. Mansouri, "Anisotropic image sharpening via well-posed Sobolev gradient flows", SIAM Journal on Mathematical Analysis Vol. 43 (4), 2011, 1536--1556.
  4. 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.
  5. J. Calder, A. Mansouri, A. Yezzi, "Image Sharpening via Sobolev Gradient Flows", SIAM Journal on Imaging Sciences Vol. 3 (4), 2010, 981--1014.
  6. A. Mansouri, "Topological Obstructions to Submanifold Stabilization", IEEE Transactions on Automatic Control Vol. 55 (7) 2010, 1701--1703.
  7. 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.
  8. 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.
  9. 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.
  10. A. Mansouri, "A topological obstruction to unit tangent bundles", C.R. Math. Acad. Sci. Soc. R. Can., Vol. 29 (3) 2007, 87--90.
  11. A. Mansouri, "Local asymptotic feedback stabilization to a submanifold: topological conditions", Systems Control Lett., 56 (2007), no. 7-8, 525--528.
  12. A. Mansouri, "Topological obstructions to regular non-integrable rank-2 distributions", C. R. Math. Acad. Sci. Paris 344 (2007), no. 7, 453--456.
  13. A. Mansouri, "Pattern generation, topology, and non-holonomic systems", Systems Control Lett., 54 (2005), no. 10, 953--959.
  14. A. Mansouri, "On isotropic sub-Riemannian contact manifolds", C. R. Math. Acad. Sci. Paris 339 (2004), no. 1, 39--42.
  15. 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 2014: MTHE 332 (Introduction to Control)
  • Winter 2014: MTHE 393 (Engineering Design Project)
  • Winter 2014: APSC 174 (Introduction to Linear Algebra)
  • Fall 2013: MATH 844 (Differentiable Manifolds)
  • Fall 2013: MATH 430/830 (Modern Control Theory)
  • Winter 2013: MATH 332
  • Winter 2013: MATH 943 (seminar) -- Special Topics in Geometry and Topology: Heat Kernels and Index Theory
  • Fall 2012: MATH 430/830
  • Fall 2012: MATH 943 (seminar) -- Special Topics in Geometry and Topology: Heat Kernels and Index Theory
  • Winter 2012: MATH 943 (seminar) -- Special Topics in Geometry and Topology: Sub-Riemannian Geometry
  • Winter 2012: MATH 332
  • Winter 2012: APSC 174
  • Fall 2011: MATH 943 (seminar) -- Special Topics in Geometry and Topology: Sub-Riemannian Geometry
  • Fall 2011: MATH 430/830
  • Fall 2011: MATH 844
  • 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 (seminar) -- Special Topics in Differential Geometry: Geometric Equivalence
  • Winter 2007: MATH 332
  • Winter 2007: MATH 844
  • Winter 2007: MATH 891 (seminar) -- 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
416 Jeffery Hall,
Queen's University,
Mathematics and Statistics,
Kingston,  ON K7L 3N6, Canada
email: mansouri at mast.queensu.ca