Research

Non-integrable distributions, sub-Riemannian geometry, non-holonomics mechanics, Carnot Groups, Metric Lines, Integrable and chaotic sub-Riemannian goedesic flow.

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Biography

I am currently a postdoctoral assistant professor at the University of Michigan Ann Arbor and with mentor Dr. Anthony Bloch.

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Awards

B. Alan Taylor Award for Outstanding Postdoctoral Teaching for the academic year 2024-2025.

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Reserach with undegradute students.

I am currently the director of the LoG(M) project. I mentor research projects with undergraduate students in the Lab of Geometry at Michigan LoG(M) and Research Experience for Undergraduates (REU) projects. See the projects


The n-trailer vehicle. Watch some simulations.

The n-trailer vehicle has been an interesting topic in three different areas of the mathematics; non-holonomics mechanics, Goursat distribution theory from the point of view of the differential topology, and the moster tower from the point of view of algebraic geometry

Luis Garcia-Narajo and I studied the dynamics of an articulated n-trailer vehicle that moves under its own inertia. Learn more


CV, talks, certifications and teaching.

I have 12 years of teaching college experience and certifications in various teaching training programs.View details