Felipe Hernandez's interest
in mathematics began in numerical analysis. Under the
guidance of his dad, which
a simple simulation of a ball rolling down a ramp, and then years later with encouragement
high school physics teacher,
he wrote a solver for the Navier-Stokes equation. In his
high school years, Felipe attended the Research Science
institute (RSI), where he fell in love with MIT and the Boston area.
Since attending MIT for his undergraduate
studies, Felipe has written simulations of the Schrodinger equation on
manifolds and of free-surface flows of the Navier-Stokes equations. Moreover,
worked on developing a numerical method
for finding the Jordan vector of a large sparse matrix under Steven Johnson. At
MIT, Felipe also discovered his love for mathematical analysis, especially the
fields of geometric measure theory and harmonic analysis. His study of the
nonlinear Schrodinger equation led him to a new proof of the bilinear Strichartz
estimate for the Schrodinger equation. Felipe hopes to continue the mixture of
numerical experiments and pure mathematics which has given him so much joy at
MIT, in particular by expanding into the simulation and analysis of the complex
nonlinear systems which arise in molecular dynamics.
As a Hertz Fellow, his PhD field of study will be in applied mathematics.
Felipe is from Metairie, Louisiana.