Academic webpage

About Me:

I am an analyst specializing in microlocal analysis and singular geometry and their applications to partial differential equations and mathematical physics more broadly. Previously, I did my PhD at MIT, where I was fortunate to be advised by Peter Hintz.

Education:

Ph.D. in Pure Mathematics, MIT, 2023.

B.Sc. in Mathematics and Physics, Stanford University, 2018.

Works in progress:

Microlocal analysis of the nonrelativistic limit of the Klein--Gordon equation. (Joint with Andrew Hassell, Qiuye Jia, Andras Vasy.)

Titles tentative. Click here for a live feed of me working on these manuscripts.

Teaching:

Stanford Math 173, Spring 2024: Theory of Partial Differential Equations
Stanford Math 21, Winter 2024: Calculus III
MIT 18.089, Summer 2021: Calculus for Naval Engineers.

Current topics of interest:

Wave propagation on manifolds, including both the Schrödinger equation and relativistic wave equations.
The construction of the BPZ minimal models of 2D CFT.

Publications and preprints:

Complete asymptotic analysis of low energy scattering for Schrödinger operators with a short-range potential.
In preparation. Draft available.

Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients, joint with Shi-Zhuo Looi.
Draft. 2024.

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. arXiv:2204.08355 [math.AP].

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

The singularities of Selberg- and Dotsenko--Fateev-like integrals.
Annales Henri Poincaré (2024). [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]

There may be slight differences between the versions here and the versions elsewhere. The versions here are the most up-to-date.

Ethan W. Sussman