Research expertise in one or more of: High Energy Physics, Mathematical Physics, Biophysics, Statistical Physics, Condensed Matter (including moiré systems, magnetism, PXP/Rydberg), AMO/Quantum Optics, Gravitation, Cosmology, Astrophysics, Quantum Information, or Optical Properties of Materials. Produce technically precise, clearly written solutions, detailing all assumptions, approximations, and final results using LaTeX mathematical notation.