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
- 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.
- J. Calder, A. Mansouri, "Anisotropic image sharpening via well-posed Sobolev gradient flows",
SIAM Journal on Mathematical Analysis Vol. 43 (4), 2011, 1536--1556.
- 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.
- J. Calder, A. Mansouri, A. Yezzi, "Image Sharpening via
Sobolev Gradient Flows", SIAM Journal on Imaging Sciences
Vol. 3 (4), 2010, 981--1014.
- A. Mansouri, "Topological Obstructions to Submanifold Stabilization",
IEEE Transactions on Automatic Control Vol. 55 (7) 2010, 1701--1703.
- 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.
- 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.
- 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.
- A. Mansouri, "A topological obstruction to unit tangent
bundles", C.R. Math. Acad. Sci. Soc.
R. Can., Vol. 29 (3) 2007, 87--90.
- A. Mansouri, "Local asymptotic feedback
stabilization to a submanifold: topological conditions", Systems Control Lett., 56
(2007), no. 7-8, 525--528.
- A. Mansouri, "Topological obstructions to regular
non-integrable rank-2 distributions", C. R. Math. Acad. Sci. Paris
344 (2007), no. 7, 453--456.
- A. Mansouri, "Pattern generation,
topology, and non-holonomic systems", Systems Control Lett., 54
(2005), no. 10, 953--959.
- A. Mansouri, "On isotropic sub-Riemannian contact
manifolds", C. R. Math. Acad. Sci. Paris 339 (2004), no. 1,
39--42.
- 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 |