Research Interests
MICROMAGNETICS
This area of physics deals with the magnetic behaviors at micrometer and sub-micrometer length scales. The area is of significant scientific and technological importance and involves challenging mathematical questions. The theory includes the statics and dynamics of topological configurations, e.g.
magnetic vortex and antivortex states as well as skyrmion states. I am working collaboratively on the mathematical derivation of skyrmion profiles and behaviors and currently on skyrmion dynamics. Skyrmions are localized structures of magnetization on a thin plate of a ferromagnetic or antiferromagnetic medium. They can be stationary, traveling or breathing (pulsating). The mathematical study seeks to explain experimental results, or discover new phenomena and is assisted by numerical experiments. Besides single skyrmions, our study encompases skyrmion collisions, which exhibit the interesting behavior of ninety degree scattering.
This area of physics deals with the magnetic behaviors at micrometer and sub-micrometer length scales. The area is of significant scientific and technological importance and involves challenging mathematical questions. The theory includes the statics and dynamics of topological configurations, e.g.
magnetic vortex and antivortex states as well as skyrmion states. I am working collaboratively on the mathematical derivation of skyrmion profiles and behaviors and currently on skyrmion dynamics. Skyrmions are localized structures of magnetization on a thin plate of a ferromagnetic or antiferromagnetic medium. They can be stationary, traveling or breathing (pulsating). The mathematical study seeks to explain experimental results, or discover new phenomena and is assisted by numerical experiments. Besides single skyrmions, our study encompases skyrmion collisions, which exhibit the interesting behavior of ninety degree scattering.
ACOUSTIC AND ELECTROMAGNETIC SCATTERING: THEORETICAL AND COMPUTATIONAL
The study encompasses acoustic and electromagnetic scattering from a spatially periodic geometry and combines mathematical analysis with numerical calculations.