I am a second year graduate student at MIT studying harmonic analysis. My advisor is Larry Guth.
I am broadly interested in Fourier analysis, PDEs, combinatorics, number theory, and interactions between these fields.
My CV can be found here. My email is alexcoh at mit dot edu.
Every real-rooted exponential polynomial is the restriction of a Lee-Yang polynomial
with
Lior Alon
and
Cynthia Vinzant,
Preprint.
(arXiv).
Fractal uncertainty for discrete 2D Cantor sets
Preprint.
(arXiv).
Partition and Analytic Rank are Equivalent over Large Fields
with
Guy Moshkovitz,
to appear in Duke Mathematical Journal.
(arXiv, Quanta article).
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).
(arXiv).
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).