Curriculum VitæClick here to open my CV
I am a Leonardo, a mathematician that was born in Bogotá, Colombia and immigrated to the US at the start of the millennia. For many years, I lived in the beautiful Jackson Heights, NY, home to one of the most ethnically and culturally diverse communities in America.
I am currently an NSF Postdoctoral Fellow at Vanderbilt University, where I have the pleasure of having Jared Speck as my postdoc mentor. I am affiliated with the Vanderbilt Initiative for Gravity, Waves and Fluids. I completed my graduate studies at Michigan State University, where I was lucky enough to be advised by Willie Wong.
My research integrates analytic and geometric techniques to study evolutionary partial differential equations. More specifically, I am currently focused on analyzing shock singularities in compressible fluids. I am also interested in stability properties to equations that model wave-like phenomena (i.e. relativistic membranes). All of my research articles are on the arXiv, but you can also find them on my webpage.
If you want to learn more about some of the amazing work done by Latin@s and Hispanics in math, or if you want to learn more about the incredible organizations that support diversity in math, please consider looking at the following links!
You can find my dissertation, titled "The vector field method and its applications to nonlinear evolution equations" here.