3 papers
math.AP2025
Hydrogen-like Schrödinger Operators at Low Energies
Ethan Sussman
Consider a Schrödinger operator on an asymptotically Euclidean manifold of dimension at least two, and suppose that the potential is of attractive Coulomb-like type. Using Vas…
math.AP2024
Massive wave propagation near null infinity
Ethan Sussman
We study, fully microlocally, the propagation of massive waves on the octagonal compactification \[\mathbb{O}=[\overline{\mathbb{R}^{1,d}};\mathscr{I};1/2]\] of asymptotically Mink…
math-ph2024
The singularities of Selberg- and Dotsenko-Fateev-like integrals
Ethan Sussman
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the 3-point and 4-point functions of BPZ's minimal models of…