My academic interests fall broadly into optimization and functional analysis applied to the curation
of practical models. I have spent the past 7 years primarily interested in physical problems from electromagnetism,
materials science, and thermo/fluid mechanics, and the analysis of governing equations
which describe these systems.
I completed my Dissertation on the variational analysis of the micromagnetic equations. In particular,
whether, and under what circumstances, these equations predict the existence of magnetic skyrmions
in certain thin film geometries of ferromagnetic materials.
This work yields applications to the broader field of spintronics engineering which
apply the quirks of micromagnetic phenomena to the design of computer memory and logic devices.