Felipe Hernandez’s interest in mathematics began in numerical analysis. Under the guidance of his dad, which began with a simple simulation of a ball rolling down a ramp, and then years later with encouragement from his high school physics teacher, Dr. Dalling, 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, Felipe has 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.