Lars Becker

I am a third year PhD student under the supervision of Christoph Thiele. My research interests are in harmonic analysis. More specifically I am interested in generalizations of Carleson's theorem on the pointwise convergence of Fourier series, in harmonic analysis on high dimensional discrete spaces, and in the optimal constants in classical Fourier restriction inequalities. Here you can find my CV and my papers on arxiv.

Contact:

Mail: becker (at) math.uni-bonn.de
Phone: +49 (0) 228 73-2842
Office: Endenicher Allee 60, N2.010

Papers and Preprints:

• Fourier growth of degree 2 polynomials (with Joseph Slote, Alexander Volberg and Haonan Zhang), preprint, 2024.
• 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.
• Discrete Brunn-Minkowski Inequality for subsets of the cube (with Paata Ivanisvili, Dmitry Krachun and José Madrid), preprint, 2024.
• A degree one Carleson operator along the paraboloid, preprint, 2023.
• 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).
• Sharp Fourier extension for functions with localized support on the circle, 2023, accepted for publication in Revista Matemática Iberoamericana.
• Maximal polynomial modulations of singular Radon transforms, Journal of Functional Analysis, 2024, Vol. 286, no. 6, pp. 110299.