Lars Becker

I am an Instructor at Princeton University. Before that, I did my PhD in Bonn under the supervision of Christoph Thiele.

I study harmonic analysis. My two main interests are problems with modulation symmetries - classical examples include pointwise convergence of Fourier series, the bilinear Hilbert transform as well as many ergodic averages - and high dimensional problems with applications in theoretical computer science.

Here is my CV.

My email is lbecker@math.princeton.edu.

Quelle: Bildarchiv des

Mathematischen Forschungsinstituts Oberwolfach

Papers and preprints

Harmonic Analysis

On Multi-linear Maximal Operators Along Homogeneous Curves (with Ben Krause), preprint, 2025.
On trilinear singular Brascamp-Lieb integrals (with Polona Durcik and Fred Yu-Hsiang Lin), preprint, 2024.
Carleson Operators on Doubling Metric Measure Spaces (with Floris van Doorn, Asgar Jamneshan, Rajula Srivastava and Christoph Thiele), preprint, 2024.
This paper was computer verified in the Lean Carleson project. In particular, this provides a computer verification of Carleson's theorem and Lie's polynomial Carleson theorem. A very detailed version of our paper, written to aid the formalization, can be found here.
A degree one Carleson operator along the paraboloid, preprint, 2023.
Sharp Fourier extension for functions with localized support on the circle, 2023, in Revista Matemática Iberoamericana.
Maximal polynomial modulations of singular Radon transforms, Journal of Functional Analysis, 2024, Vol. 286, no. 6, pp. 110299.

High dimensional inequalities

Fourier growth of degree 2 polynomials (with Joseph Slote, Alexander Volberg and Haonan Zhang), preprint, 2024.
Discrete Brunn-Minkowski Inequality for subsets of the cube (with Paata Ivanisvili, Dmitry Krachun and José Madrid), Combinatorica 45, 48 (2025).
Dimension-free discretizations of the uniform norm by small product sets (with Ohad Klein, Joseph Slote, Alexander Volberg and Haonan Zhang), Invent. math. 239, 469–503 (2025).

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