The Stanford University Mathematics Research Center hosts the Beatrice Yormark Distinguished Lecture today, April 16, 2026. Mathematician Dominique Maldague delivers a technical presentation titled “Cubic Weyl Sums in 2-D from the Fourier Restriction Perspective.”
The event takes place at Stanford’s Building 380Y and focuses on the mathematical behavior of cubic Weyl sums, a class of exponential sums utilized to evaluate the fine structure of arithmetic sequences.
Maldague examines cubic Weyl sums of the form $\sum_{n=N}^{2N} e(x \cdot (n, n^3))$, evaluating mathematical structures where the parameter $x$ ranges over the unit square $[0,1]^2$.
Traditional evaluation approaches rely heavily on standard number-theoretic techniques. The presentation reframes this specific problem through the lens of Fourier restriction theory, an area of harmonic analysis analyzing the behavior of Fourier transforms constrained to curved surfaces.
Researchers originally developed Fourier restriction methods to address wave propagation and partial differential equations, mathematical relations containing unknown multivariable functions and their partial derivatives.
Current academic frameworks increasingly apply these geometric tools directly to arithmetic settings to evaluate exponential sums in higher dimensions.
Source:
- Stanford Mathematics Research Center — Upcoming Events: https://mrc.stanford.edu/events/cubic-weyl-sums-2-d-fourier-restriction-perspective