Abdol-Reza Mansouri Professor Department of Mathematics & Statistics Queen's University

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 sub-Riemannian geometry, stochastic analysis, and geometric equivalence. 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 Stochastic Analysis and the Malliavin Calculus Sub-Riemannian Geometry and Geometric Equivalence Topological Problems in Systems Theory Mathematical Problems in Imaging and Inverse Problems 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. Research Collaborators Professor Fabrice Baudoin, Department of Mathematics, University of Connecticut (Storrs). Research project: Subelliptic operators on semisimple Lie groups Professor Niky Kamran, Department of Mathematics and Statistics, Mc Gill University. Research project: Geometric study of singular partial differential equations Professor Frank Proske, Department of Mathematics (Stochastic Analysis group), University of Oslo. Research project: Regularization by noise and pathwise uniqueness of solutions of differential equations Current Graduate Students and Postdoctoral Fellows Ethan Morris (M.Sc., 2021-) Jon Bryan (M.Sc., 2020-) Max Amatsuji-Berry (M.Sc., 2020-) Former Graduate Students and Post-Doctoral Fellows Oussama Amine (Ph.D., 2017-2020), University of Oslo (Department of Mathematics, Stochastic Analysis Group) (co-supervision with Professor F. Proske, U. of Oslo) Graeme Baker (M.Sc., 2016-18) currently a Ph.D. student in Operational Research and Financial Engineering at Princeton University Alireza Samsamshariat (M.Sc., 2017-18, co-supervision with Professor B. Gharesifard) Jeremy Coulson (M.Sc., 2015-17, co-supervision with Professor B. Gharesifard) currently a Ph.D. student in Electrical and Computer Engineering at ETH (Zurich) Drew Steeves (M.Sc., 2015-17, co-supervision with Professor B. Gharesifard) currently a Ph.D. student in Mechanical and Aerospace Engineering at University of California, San Diego Tristan Milne (M.Sc., 2014-16), currently a Ph.D. student in Mathematics at University of Toronto Babak Beheshti Vadeqan (M.Sc., 2013-16, co-supervision with Profs. B. Gharesifard and T. Linder), currently a Ph.D. student in Mathematics at Western University Dr. Robert Kipka (PDF, 2014-16, co-supervision with Professors Bogoyavlenskij, Gharesifard, and Lewis), currently an Assistant Professor of Mathematics at Kent State University John Treilhard (M.Sc., 2012-14), M.Sc. in Biomedical Engineering at Yale University (2014-2016), currently a Technology Specialist at Fish and Richardson 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), M.Sc. studies in Earth and Atmospheric Sciences at University of Alberta Andrew Brennan (M.Sc., 2010-11), PhD studies in Bioengineering at Harvard University Jeffrey Calder (M.Sc., 2008-10), currently an Associate Professor of Mathematics at University of Minnesota Bahman Gharesifard (PhD, 2005 - 2009, co-supervision with Prof. A. Lewis), Professor of Electrical and Computer Engineering at University of California, Los Angeles Thomas Norman (M.Sc. 2006-07), currently a Researcher in Systems Biology at the Sloan Kettering Institute Michael Greene (M.Sc. 2006-07) Selected Publications D. Steeves, B. Gharesifard, A. Mansouri, "Controllability of coupled parabolic systems with multiple underactuations, Part 2: Null controllability", SIAM Journal on Control and Optimization, 57 (2019), no. 5, 3297-3321. D. Steeves, B. Gharesifard, A. Mansouri, "Controllability of coupled parabolic systems with multiple underactuations, Part 1: Algebraic solvability", SIAM Journal on Control and Optimization, 57 (2019), no. 5, 3272-3296. T. Milne, A. Mansouri, "Codomain Rigidity of the Dirichlet to Neumann Operator for the Riemannian Wave Equation", Transactions of the American Mathematical Society 371 (2019) no. 12, 8781-8810. J. Coulson, B. Gharesifard, A. Mansouri, "On average controllability of random heat equations with arbitrarily distributed diffusivity", Automatica 103 (2019), 46-52 57 (2019), no. 5, 3272-3296. M. Broucke, M. Ornik, A. Mansouri, "A Topological Obstruction in a Control Problem", Systems and Control Letters, Vol. 108 (2017), 71-79. J. Treilhard, A. Mansouri, "Concentration Inequalities via Malliavin Calculus with Applications", Electronic Communications in Probability, Vol. 20 (2015), no. 36, 1-14. A. Mansouri, "Topological Obstructions to Distributed Feedback Stabilization to a Submanifold", Proceedings of the 2015 SIAM Conference on Control and its Applications, July 2015. A. Mansouri, "Topological Obstructions to Distributed Feedback Stabilization", Proceedings of the 51st Allerton Conference on Communication, Control, and Computing, October 2013. 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 (Queen's U.) Winter 2022: MATH 437/837 Topics in Applied Mathematics: Introduction to Stochastic Differential Equations Winter 2022: MATH 335 (Mathematics of Signals and Systems) Fall 2021: MATH 430/830 (Modern Control Theory) Fall 2020: MATH 430/830 (Modern Control Theory) Winter 2020: MATH 923 Topics in Analysis: Stochastic Calculus and Analysis Fall 2019: MATH 430/830 (Modern Control Theory) (On academic leave July 2018-June 2019) Winter 2018: MATH 923 Topics in Analysis: Stochastic Calculus and Analysis Winter 2018: APSC 174 (Introduction to Linear Algebra) Fall 2017: MATH 430/830 (Modern Control Theory) Winter 2017: MATH 923 Topics in Analysis: Stochastic Calculus and Analysis Winter 2017: APSC 174 (Introduction to Linear Algebra) Fall 2016: MATH 430/830 (Modern Control Theory) Winter 2016: MATH 844 (Differentiable Manifolds) Winter 2016: APSC 174 (Introduction to Linear Algebra) Fall 2015: MATH 430 (On academic leave July 2014-June 2015) Winter 2014: MATH 332 (Introduction to Control) Winter 2014: MATH 393 (Engineering Design Project) Winter 2014: APSC 174 Fall 2013: MATH 844 Fall 2013: MATH 430/830 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) Contact 416 Jeffery Hall, Queen's University, Mathematics and Statistics, Kingston,  ON K7L 3N6, Canada email: mansouri at queensu.ca