My PhD dissertation concerns the WSINDy algorithm (Weak-Form Sparse Identification of Nonlinear Dynamics) designed by myself and David Bortz (see 1 and 2). WSINDy uses weak-formulations of dynamical systems to perform model selection and parameter estimation.

My Masters thesis includes analysis and computational results concerning aggregation-diffusion phenomena, a ubiquitous modeling paradigm in mathematical biology and collective behaviour more generally.

Joint investigations of collective behaviour and model selection using WSINDy have been carried out 3 and 4.