Ethan W. Sussman email: ethanws@mit.edu Office: 2-390b I am a fifth-year Ph.D. student in the MIT mathematics department. My research interests lie in spectral theory, microlocal analysis, PDE, and mathematical physics more generally. I am fortunate to be advised by Peter Hintz. Previously, I spent my undergraduate years at Stanford. I am currently supported by a Hertz fellowship. The most up-to-date versions of my papers can be found below. There might be differences between the versions here and those elsewhere (e.g. on the arXiv).

Things I'm currently thinking about

• WKB from the perspective of singular geometry.
• The Coulomb gas formalism as a tool for constructive CFT.

Things I want to understand

• Semiclassical analysis near turning points without symmetry assumptions.
• The asymptotics of massive waves on black hole spacetimes.

Preprints and Publications

• Semiclassical asymptotics near transition points, revisited.
  In preparation.


• The regularization of Dotsenko--Fateev integrals.
  Preprint.


• Massive waves gravitationally bound to static bodies.
  Preprint.


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


• The singularities of Selberg- and Dotsenko--Fateev-like integrals.
  Preprint, 2023. arXiv:2301.03750 [math-ph].


• Hydrogen-like Schrödinger operators at low energies.
  Preprint, 2022. arXiv:2204.08355 [math.AP].


• A strengthened Orlicz-Pettis theorem via Ito-Nisio.
  Ann. Funct. Anal. 14.22 (2023). Link.
  arXiv:2210.02495 [math.FA]


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


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

Other and Unpublished

• Long time behavior of the half-wave trace and Weyl remainders.
  arXiv:2109.09926 [math.SP] (2021).


• Rademacher series for η-quotients.
  arXiv:1710.03415 [math.NT] (2017).

Teaching and TAing

• 18.095, IAP 2022: Mathematics Lecture Series.
• 18.089, Summer 2021: Calculus for Naval Engineers.