I’m an assistant professor in mathematics at NC State University. I develop tools in mathematical analysis in order to study problems from a variety of applications. More specifically, I use tools from the calculus of variations and partial differential equations to study problems from physics and statistics. Specific application areas include

– Regularization methods for machine learning

– Singular perturbations from materials science

– Algorithms from distributed decision making and optimization

– Singularities in fluid dynamics

My research is supported by the NSF (DMS 2307971, “Non-Local Variational Problems with Applications to Data Science”) and by the Simons foundation (MP-TSM). I’m glad to talk to potential collaborators and students: just send me an email at rwmurray at ncsu dot edu!