I am a Postdoctoral Researcher in the Mathematics Department at Louisiana State University. I received my Ph.D. in Mathematics at Baylor University in 2019 under Dr. Fritz Gesztesy, in collaboration with Dr. Lance Littlejohn.
The majority of my research involves differential equations, operator theory and spectral theory, as well as analysis (real, complex, and functional) and mathematical physics.
Recently submitted publications yield Birman's weighted sequence of Hardy-type integral inequalities with logarithmic refinement terms using Hartman-Müeller-Peifer-type transformations, as well as establishing optimality of their corresponding constants.
Most currently, I am researching Bernhard Koopman's operator theoretic global linearization approach to the study of nonlinear deterministic dynamical systems and their potential applications in developing new approximation procedures for nonlinear differential equations.