Analysis and PDE Seminar by Demetre Kazaras (Duke)
The geometry of scalar curvature and mass in general relativity
RTG: Partial Differential Equations on Manifolds
Funded by NSF DMS-2135998
The geometry of scalar curvature and mass in general relativity
Global stability of Kaluza-Klein spacetimes
The relativistic Euler equations with a physical vacuum boundary
General-relativistic viscous fluids
An NLS case study: well-posedness beyond standard models
Quantitative Differentiation
Wave decay rates and resonances in dimension two
Harmonic coordinates and asymptotic decay conditions
One-dimensional hydrogenic ions with screened nuclear Coulomb field
Higher codimension area-minimizers: structure of singularities and uniqueness of tangent cones
Homogenization of the Einstein equations under symmetry
Eigenfunction concentration and Weyl Laws via geodesic beams