Research
Non-integrable distributions, sub-Riemannian geometry, non-holonomics mechanics, Carnot Groups, Metric Lines, Integrable and chaotic sub-Riemannian geodesic flow.
Biography
I am currently a postdoctoral assistant professor at the University of Michigan Ann Arbor and with mentor Dr. Anthony Bloch.
Awards
B. Alan Taylor Award for Outstanding Postdoctoral Teaching for the academic year 2024-2025.
Research with undergraduate 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 monster 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