Lars Becker

I am an Instructor at Princeton University.

Before that, I did my PhD in Bonn under the supervision of Christoph Thiele.

I am interested in harmonic analysis and applications. My 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. More recently I am interested in Fluids.

Here is my CV.

My email is lbecker@math.princeton.edu.

Quelle: Bildarchiv des

Mathematischen Forschungsinstituts Oberwolfach

Papers and preprints

Harmonic Analysis

The shifted bilinear Hilbert transform (with Polona Durcik), preprint, 2026.
Quantitative Polynomial Wiener-Wintner Theorems (with Asgar Jamneshan and Christoph Thiele), accepted for publication in the Israel Journal of Mathematics (2026).
This is one application of the general Carleson theorem below.
An SU(2n)-valued nonlinear Fourier transform (with Michel Alexis, Diogo Oliveira e Silva and Christoph Thiele), preprint 2026.
On Multi-linear Maximal Operators Along Homogeneous Curves (with Ben Krause), Pacific Journal of Mathematics, Vol. 342, no. 2, 207–216 (2026)
See Hu-Lie for a simpler proof of some of the results of this paper. See Guo - Li -Zhan for a proof of the singular integral version.
On trilinear singular Brascamp-Lieb integrals (with Polona Durcik and Fred Yu-Hsiang Lin), accepted for publication in the Journal of the London Mathematical Society, 2024
The recent proof by OpenAI of boundedness of the triangular Hilbert transform implies, together with the method of rotations in section 5 of this paper, a (partial) positive answer to conjecture 1 formulated in the paper: All trilinear singular Brascamp-Lieb forms are bounded, at least when 2 < p_1, p_2, p_3.
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 report on the formalization is here.
A degree one Carleson operator along the paraboloid, accepted for publication in the Indiana University Mathematics Journal , (2023).
See Hsu-Lie for a nice generalization of the result.
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 and additive combinatorics

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).
Discrete Brunn-Minkowski Inequality for subsets of the cube (with Paata Ivanisvili, Dmitry Krachun and José Madrid), Combinatorica 45, 48 (2025).
Approximating the operator norm of local Hamiltonians via few quantum states, (with Joseph Slote, Alexander Volberg and Haonan Zhang), preprint, 2025.
Fourier growth of degree 2 polynomials (with Joseph Slote, Alexander Volberg and Haonan Zhang), Beijing Journal of Pure and Applied Mathematics, Vol. 3, no. 1, pp. 143-162, (2026).

Page updated

Google Sites

Report abuse