Contains the proceedings of the virtual AMS Special Session on Harmonic Analysis. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis and polynomial methods, are playing a crucial role in resolving problems that were previously out of reach.

T. L. J. Harris, Length of sets under restricted families of projections onto linesS. Gan, Y. Jing, and S. Wu, New bounds for Stein's square function in $\mathbb{R}^3$Z. K. Li, A introduction to decoupling and harmonhic analysis over $\mathbb{Q}_p$X. Du, Y. Ou, H. Wang, and R. Zhang, On a free Schrodinger solution studied by Barcelo-Bennett-Carbery-Ruiz-VilelaN. A. Wagner, Some results for the Szego and Bergman projections on planar domainsT. C. Anderson, B. Hu, Y.-R. Liu, and A. Talmage, Bounds on 10th moments of $(x,x^3)$ for ellipsephic setsB. Langowski, Oscillation inequalities for radon averagesH. Wang and L. Zhang, Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet.