Leonardo Enrique Abbrescia

About me:

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.

Research Interests:

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.

Diversity in Mathematics:

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!

• Latin@s and Hispanics in Mathematical Sciences
• Center for Minorities in the Mathematical Science
• Association for Women in Mathematics
• The National Association of Mathematicians

My Ph.D. dissertation:

You can find my dissertation, titled "The vector field method and its applications to nonlinear evolution equations" here.