Noah Corbett

Doctoral Candidate

Florida Atlantic University
Department of Mathematics and Statistics

Hello! I'm a final-year doctoral candidate studying computational dynamical systems. My advisors are Jason Mireles-James and Vincent Naudot.

My research focuses on theoretical and numerical techniques to compute and validate rigorous solutions structures in chaotic dynamical systems. In particular, I employ computer-assisted proofs and develop numerical algorithms to rigorously study nonlinear ordinary differential equations, travelling wave solutions of partial differential equations, and state-dependent delay differential equations.

I also work with statistical and machine learning techniques to study nonlinear equations. Alongside researchers with the U.S. Army Corps of Engineers, I developed a cryptanalytic-inspired method for forecasting state switches in data-driven chaotic systems. I am currently interested in pursuing quantitative research, and in particular how to apply these numerical, statistical, and machine learning tools to study the financial markets.