Ethan W. Sussman

Recent topics of interest:

• Wave propagation on manifolds, including both the Schrödinger equation and relativistic wave equations.
• Scattering theory for repulsive Coulombic point scatterers.
• The construction of the BPZ minimal models of 2D CFT.

Publications and preprints:

• Another remark on the essential self-adjointness of the D'Alembertian on asymptotically Minkowski spacetimes. (Joint with Qiuye Jia and Mikhail Molodyk.)
  In preparation.


• Complete asymptotic analysis of low energy scattering for Schrödinger operators with a short-range potential.
  Preprint, 2024. arXiv:2411.04220 [math.AP].


• Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients, joint with Shi-Zhuo Looi.
  Preprint, 2024. arXiv:2407.20991 [math.AP].


• Full semiclassical asymptotics near transition points.
  Preprint, 2023. arXiv:2312.00965 [math.CA].


• Massive wave propagation near null infinity.
  Preprint, 2023. arXiv:2305.01119 [math.AP].


• Hydrogen-like Schrödinger operators at low energies.
  Preprint, 2022. To appear in Memoirs of the American Mathematical Society. arXiv:2204.08355 [math.AP].


• Massive waves gravitationally bound to static bodies.
  Proceedings of the American Mathematical Society 152 (2024), 3319-3337. [Link].
  arXiv:2312.00959 [gr-qc].


• The singularities of Selberg- and Dotsenko--Fateev-like integrals.
  Annales Henri Poincaré 25 (2024), 3957–4032. [Link].
  arXiv:2301.03750 [math-ph].


• The regularization of Dotsenko--Fateev integrals.
  Letters in Mathematical Physics 113.100 (2023). [Link].
  arXiv:2308.12900 [math-ph]


• A strengthened Orlicz--Pettis theorem via Ito--Nisio.
  Annals of Functional Analysis 14.22 (2023). [Link].
  arXiv:2210.02495 [math.FA]


• Half-waves and spectral Riesz means on the 3-torus, joint with Elliott Fairchild.
  Analysis and Mathematical Physics 12.145 (2022). [Link].
  arXiv:2109.10860 [math.NT]


• The microlocal irregularity of Gaussian noise.
  Studia Mathematica 266.1 (2022) 1--54. [Link].
  arXiv:2012.07084 [math.SP]

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Miscellaneous: Link.