Uploaded May 2026 | Updated September 2026, 3 weeks ago
WAM 2026
9:30am|Simonyi Hall 101
Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry
Speaker: Dominique Maldague
Affiliation: Cambridge University and UCLA
Date: May 18, 2026
Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry.
WAM 2026
9:30am|Simonyi Hall 101
Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry
Speaker: Dominique Maldague
Affiliation: Cambridge University and UCLA
Date: May 18, 2026
Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry.
