Ben Johnsrude is a Ph.D. Student at UCLA, advised by Dr. Terence Tao and Dr. Hong Wang. He anticipates graduating in June 2025.

In this talk, Ben discusses methods of proving decoupling estimates in a way that nearly minimizes the subpolynomial losses. Ben focuses on small cap estimates and high/low analysis.

Keywords: Fourier decoupling, harmonic analysis, small cap decoupling.

MSC2020: 42B10.