I'm an Assistant Professor at Rensselaer Polytechnic Institute (RPI). I work in numerical analysis and scientific computing, with recent interests in
- infinite-dimensional spectral problems
- randomized numerical linear algebra
- data-driven modeling and analysis
Before coming to RPI, I obtained a Ph.D. in Applied Mathematics at Cornell University and worked as an Applied Math Instructor at MIT.
Here is a movie from a recent research project.
The movie shows the evolution of four coherent features on the chaotic Lorenz attractor, identified by Rigged DMD. Rigged DMD, developed with colleagues Matthew Colbrook (thanks to Matt for the beautiful video!) and Catherine Drysdale, uses trajectory data to break down challenging nonlinear dynamical systems into a set of simple coherent patterns. Try it out!