NJIT Dept. of Mathematical Sciences

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 and synthesizes 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. In a word, this is accomplished by an ansatz based minimization
of the micromagnetic energy within a restricted class of topologically nontrivial magnetic textures. We intend to recapitulate these
results with a numerical study, directly solving the LLG equations.

- B.S. (2017) Mechanical Engineering, University of New Hampshire
- M.S. (2019) Applied Mathematics, University of New Hampshire

- MIT (summer 2017) Research Support Associate
- UNH (2017-2019) T.A. and Research Support
- NJIT (2019--) T.A. and Research Support

- (UNH) ME 646: Experimental Measurement and Data Analysis
- (UNH) ME 705: Thermal System Analysis and Design
- (NJIT) MATH 111: Calculus I
- (NJIT) MATH 112: Calculus II