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!