lucasdanb.org
lucasdanb.org
Library Dynamica: A web graphics library for creating interactive graphs of dynamical systems. I was inspired to write this in order to walk myself through learning dynamical systems theory and the math behind it. I owe most of my knowledge of this field (and most of the explanations on the project page) to this book by Dr. Eugene Izhikevich about the behavior of neuron cells.
Chat SBD: Check it out here. A neural network trained on videos of powerlifting competitions to identify when a lift is good. I collaborated with my friend Leah to splice videos into training batches, build a model, a backend to serve the model, and a frontend interface. All our code is here.
Independent Research in Spectral Graph Theory: I took a class where we were set loose on any independent research question (math-related) we wanted. Inspired by my Classical Mechanics course, I chose, "What structures of coupled oscillators have more (or less) ordered behavior?" This led me to representing these systems as graphs and investigating the degeneracy of their eigenvalues. This page displays a formal writeup of my work.