Gregory J. Parker

Gregory J. Parker is an Assistant Professor at Stanford University in the Department of Mathematics, with a focus on geometric analysis and non-linear PDEs. He holds a PhD in Mathematics from MIT (2017-2022) under advisors Clifford H. Taubes and Tomasz Mrowka.

• Key Research Areas: Differential geometry, geometric analysis, singular PDEs, gauge theory, minimal surfaces, applied mathematics, computational physics.
• Publications: Recent works explore ℤ2-harmonic spinors, Seiberg-Witten equations, and Monte-Carlo plasma coupling techniques.
• Awards:
  • NSF Postdoctoral Fellowship
• Teaching: Taught Stanford's Math 172 (Measure Theory), Math 116 (Complex Analysis), and Math 20 (Calculus II).

His research bridges pure mathematics (geometric analysis, singular equations) and applied domains (plasma modeling, laser spectroscopy), with active contributions to gauge theory and computational methods.