I am a third year graduate student at MIT studying harmonic analysis. My advisor is Larry Guth.
I am interested in Fourier analysis, PDEs, combinatorics, and related fields.
My CV can be found here. My email is alexcoh at mit dot edu.
A new upper bound for the Heilbronn triangle problem
with
Cosmin Pohoata
and
Dmitrii Zakharov,
Submitted.
(arXiv, Quanta, Blog post, YouTube).
Fractal uncertainty in higher dimensions
Submitted.
(arXiv).
Every real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial
with
Lior Alon
and
Cynthia Vinzant,
to appear in Journal of Functional Analysis.
(arXiv).
Fractal uncertainty for discrete 2D Cantor sets
to appear in Analysis and PDE.
(arXiv).
Partition and Analytic Rank are Equivalent over Large Fields
with
Guy Moshkovitz,
to appear in Duke Mathematical Journal.
(journal, arXiv, Quanta, YouTube).
Uniqueness of excited states to $-\Delta u + u - u^3 = 0$ in three dimensions
with
Zhenhao Li
and
Wilhelm Schlag,
to appear in Analysis & PDE.
(arXiv, GitHub).
Structure vs. randomness for bilinear maps
with
Guy Moshkovitz,
to appear in Discrete Analysis,
presented at Symposium on Theory of Computing (2021).
(journal, arXiv, YouTube).
A Sylvester-Gallai result for concurrent lines in the complex plane
Discrete and Computational Geometry (2020).
(journal, arXiv).
A Sylvester-Gallai theorem for cubic curves
with
Frank de Zeeuw,
European Journal of Combinatorics (2022).
(journal, arXiv).
Poissonian correlation of higher order differences
Journal of Number Theory (2021).
(journal, arXiv).
Sinkhorn limits in finitely many steps
with
Melvyn Nathanson.
Linear Algebra and its Applications (2019).
(journal, arXiv).
Here is a list of properties of the Fourier transform.
Accessibility