Research

Current Work

I have a wide range of interests, and I have published recently on a range of topics including:

• Using transfer entropy to build minimal DMD models for chaotic time series (with Erik Bollt and Jay Lago): Entropic Regression
• Using wavelet decompositions and DMD to build predictive models of ionospheric dynamics (with Jay Lago, Katherine Zawdie, Alex Ihler): Scale Separation
• Using machine learning to build adaptive, Hankel DMD based time stepping schemes to generate chaotic time series (with Erik Bollt and Jay Lago): Hankel Deep Learning
• Using machine learnig to build DMD based time stepping schemes (with Jay Lago, Opal Issan, Alex Ihler): Deep Learning
• Using the Mori-Zwanzig method to extend the DMD to include memory effects (with Jay Lago): Optimal Prediction
• Using the DMD to study weak turbulence in the Nonlinear Schroedinger Equation (with Ricardo Carretero and Matteo Polimeno): Weak Wave Turbulence

Prior Work

• Developing analytical and numerical models describing the flow of vortex patches under free surface waves (with Henrik Kalisch)
• Computing particle paths in sheared flows. (with John Carter and Henrik Kalisch)
• Analyzing and modelling topological optical flows in honeycomb lattices (with Mark Ablowitz and Yi Ping Ma)

Relevant Links:

• Google Scholar Page
• ArXiv Page
• Github Repositories