Representation Theory Research
My undergraduate and graduate math theses at the University of Virginia were advised by Dr. You Qi. I studied Tannaka Duality in categories of modules of Hopf algebras. I then attempted to use the categories of modules of quantum groups to construct topological invariants of 4-dimensional manifolds.
Dark Matter Research
I researched dark matter at UVA with Dr. Xiaochao Zheng and Dr. Alexandre Deur. I studied the correlation between the ellipticity of elliptical galaxies and the dark matter content of elliptical galaxies. Our article is published in the Monthly Notices Royal Astronomical Society and we received funding through the INGRASSIA Family Scholarship.
Nanomagnets Research
I worked in the Dean’s Early Research Initiative (DERI) program at the VCU School of Engineering with Dr. Supriyo Bandyopadhyay and Dr. Ahsanul Abeed. I simulated the effect of pressure on multiferroic nanomagnets with defects, their potential uses in energy-efficient data storage, and their resonant frequencies.
Publications
[1] The effect of material defects on resonant spin wave modes in a nanomagnet, Scientific Reports,
arXiv:2003.03833.
[2] Reliability of magnetoelastic switching of nonideal nanomagnets with defects: A case study for the
viability of straintronic logic and memory Physical Review Applied, PhysRevApplied.12.034010.
[3] Updated Analysis of an Unexpected Correlation between Dark Matter and Galactic Ellipticity,
Monthly Notices Royal Astronomical Society, doi.org/10.1093/mnras/stac3236