I am Assistant Professor in Applied Mathematics at the University of Kansas.
My research deals with multiscale phenomena in mathematical physics and biology,
homogenization theory and multiscale numerical methods.
At present, the main object of my research is the study of layered heterostructures,
i.e. stacked layers of 2D materials such as graphene, boron nitride, etc.
This story started within
an exciting MURI project led by Professor Luskin,
Multiscale Mathematical Modeling and Design Realization of Novel 2D Functional Materials.
I focus on the mathematical modeling and the analysis of novel numerical methods designed
to couple efficiently atomistic scales (e.g. DFT electronic structure calculations, mechanics...)
with mesoscopic and macroscopic continuum scales for few-layers heterostructures.
In particular, a new perspective based on Non-Commutative Algebras has proved to be an exciting and promising
avenue for the analysis and effective calculations of mechanical and electronic properties of
incommensurate, non-periodic multi-layered stackings.