New small-cap decoupling estimates for the moment curve in R^4 establish a continuum of square-root cancellation bounds for exponential sums that connect the Vinogradov mean value theorem in R^3 to Bourgain-type results.
Amplitude dependent wave envelope estimates for the cone inR 3.https://arxiv.org/abs/2206.01093, 2022
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A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$
New small-cap decoupling estimates for the moment curve in R^4 establish a continuum of square-root cancellation bounds for exponential sums that connect the Vinogradov mean value theorem in R^3 to Bourgain-type results.