I am primarily interested in physical problems,
both the modeling thereof and the analysis of governing equations which describe these systems.
I am currently at work on 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.
My work employs many theoretical results of past researches to demonstrate, with rigour, the existence of bound pairs of skyrmions in two-layer thin ferromagnets which are coupled to one another through the stray magnetic field interaction alone. We intent to recapitulate these results with a numerical study.