Because I am pursuing a co-major for my Ph.D. in both Statistics and Mathematics, my main research is split into two separate components.
My interests in statistics primarily lie in Bayesian methodology. I am particularly interested in the analysis of functional data and nonparametric models, and, in addition, the asymptotic theory of Bayesian procedures from a frequentist point of view.
I am interested in the study on nonlinear systems of ordinary differential equations, and using tools from functional analysis to study their qualitative properties. In particular, the existence of solutions to nonlinearly-perturbed classical problems is a major interest of mine.