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Faculty Detail

Leonardo Colombo

Post-Doc Assistant Professor

3828 East Hall
Email:  ljcolomb@umich.edu

  • Affiliation(s)
    • Differential Equations
  • About

    Personal Home Page

    I am a postdoc research assistant professor in the mathematics department at University of Michigan, where I work with my mentor A. Bloch.

    My research lies at the intersection of differential geometry, mechanics and control theory. I am interested in geometric numerical analysis, nonholonomic systems, optimal control problems on Lie groups, Mechanics on Lie algebroids and Lie groupoids and hybrid systems for applications in bipedal locomotion.

    Since September 2010 until August 2014, I was a member of the ICMAT and Consejo Superior de Investigaciones Cientificas, at Madrid, Spain where I did my PhD thesis about the geometry and numerical aspects of higher-order mechanical problems in mechanics as optimal control problems,optimization problems and related problems in Medical analysis and nonholonomic mechanics, using techniques in Geometric Mechanics, Riemannian and Symplectic Geometry, Lie algebroids and Lie groupoids.